New textbook (in German): “Spezielle und allgemeine Relativitaetstheorie fuer Bachelorstudenten”, by Reinhard Meinel

A new textbook published by Springer-Verlag Berlin Heidelberg. Its first two parts give an elementary introduction to special and general relativity. The third part (“Ergaenzungen fuer Fortgeschrittene”) deals with mathematical methods that can be used, for example, to solve the black hole boundary value problem of the stationary and axially symmetric Einstein-Maxwell equations leading to the Kerr-Newman solution in a unique and straightforward manner.

English translation of the last and very rare book by A. A. Friedmann (coauthored with V. K. Frederiks)

Vsevolod K. Frederiks, Alexander A. Friedmann, Foundations of the Theory of Relativity: Volume 1 Tensor Calculus (Minkowski Institute Press, Montreal 2015), 182 pages

To mark the 100th anniversary of Einstein’s general relativity the Minkowski Institute Press publishes the first English translation of a very rare book on general relativity (its only Russian publication was in 1924), which turned out to be the last book by A. A. Friedmann (co-authored with V. K. Frederiks). This is the first and the only published volume of a five-volume book project on the foundations of the theory of relativity, brutally terminated by the untimely and tragic death of Friedmann on 16 September 1925. Despite the fact that this book was published in 1924 and despite the presence of some unconventional notions and notations in it, this is still a valuable book, because it is written by two deep thinkers, particularly Friedmann who in 1922 had the deepest understanding of the cosmological implications of Einstein’s general relativity when he first showed that the Universe may expand (which was later discovered by Hubble). What also makes this book valuable is that Frederiks and Friedmann develop the formalism of tensor calculus from a physical point of view by showing why the ideas of general relativity need that formalism. In this sense the book can be even used for self-study.

New book “Space-time relativity and gravitation” by L. Verozub

Dear hyperspace community,

I would like to announce a new book “Space-time relativity and gravitation”

“The book is devoted to the development of Einstein’s theory of gravitation, based on the relativity of space-time and projectively invariant equations of gravitation. It eliminates contradiction of the theory with the modern field theory, because both descriptions of gravity – as a curvature of the Riemannian space-time and as a field in Minkowski space – are not mutually exclusive. On this basis, some of the fundamental problems of the theory and relativistic astrophysics are revised. It is shown, in particular, that the spherically symmetric field does not have a singularity, the energy of the gravitational field of a point mass is finite, and the accelerated expansion of the Universe is a consequence of gravity properties. The book is intended for physicists and astrophysicists. However, it is also apprehensible for senior students”

ISBN: 978-3-659-75511-8

Lambert Acad. Publ., 2015

The book is available at Amazon

New book: “Superradiance” by R. Brito, V. Cardoso and P. Pani

Dear hyperspace community,

We would like to announce the publication of a new book on the physics of superradiance, co-authored by R. Brito, V. Cardoso and P. Pani, Springer Lecture Notes in Physics vol. 906 (2015).

Details of the book are available at

or in Amazon

This volume gives a unified picture of the multifaceted subject of superradiance, with a focus on recent developments in the field, ranging from fundamental physics to astrophysics. The book covers all our current understanding on the physics of the amplification of waves by a medium, including classical effects such as the Cherenkov effect. The main body of the book deals with superradiance in black hole physics, with important applications in astrophysics and particle physics. Each chapter ends with a list of outstanding open problems and future directions.

Best wishes to all,

Richard Brito, Vitor Cardoso, Paolo Pani

New book: “Cosmological and Black Hole Apparent Horizons” by V. Faraoni

Dear hyperspace community,

I would like to announce the publication of a new book which may be of interest to some of you: “Cosmological and Black Hole Apparent Horizons” by V. Faraoni, 199 pages, 8 figures,
Springer Lecture Notes in Physics vol. 907 (2015)
ISBN:978-3-319-19239-0 (Print) 978-3-319-19240-6 (Online)
Details of the book are available at

Best wishes to all,

Valerio Faraoni
Physics Department
Bishop’s University
Sherbrooke, Quebec, Canada

New Book: “Einstein’s Apple : Homogeneous Einstein Fields” by Engelbert L. Schucking and Eugene J. Surowitz

After 15 years of effort to grow this apple tree, it has finally dropped its first fruit, namely our volume “Einstein’s Apple” which is now available in hardcover and e-book formats from World Scientific via

The work provides an accessible introduction to concepts such as teleparallelism and torsion that are slighted in many courses; historical introduction sections include the early uses of these concepts and Einstein’s own early insights.

Cheers, Eugene Surowitz

New book: “Introduction to General Relativity, Black Holes and Cosmology”, by Y. Choquet-Bruhat

Dear Colleagues in General Relativity

To please the kind staff of Oxford University Press, and myself, I send you as propaganda for my last book “Introduction to General Relativity, Black Holes and Cosmology”, whose details can also be found at this website:

With best wishes to all

Yvonne Choquet-Bruhat

New Book: “Differential Forms and The Geometry of General Relativity” by Tevian Dray

I am pleased to announce the publication of my book: “Differential Forms and The Geometry of General Relativity”, by Tevian Dray, 321 pages; 85 figures.
A K Peters/CRC Press, 2015.

Publication details are available at:
This book emphasizes the use of differential forms to describe general relativity.

Online versions of the two parts of the book also exist in both wiki and PDF formats, and are available at:

Please note that the online versions do not contain all of the editorial changes in the print edition.

Tevian Dray
Professor of Mathematics
Oregon State University

Offer to the members of the International Society on General Relativity and Gravitation (ISGRG):

ISGRG has commissioned the book “General Relativity and Gravitation: A Centennial Perspective.” It will be published by Cambridge University Press later this spring. The editors are Ashtekar, Berger, Isenberg, and MacCallum, and the table of contents can be found at This book provides a comprehensive overview of the current state of gravitational physics.

Cambridge University Press is offering a 50% discount to members of ISGRG who pre-order the book. Orders must be placed by April 30, 2015. After this date the book will be available at a 20% discount to ISGRG members, just like all other Physics and Astronomy books published by Cambridge University Press.

If you are not an ISGRG member and wish to join, please follow the procedure indicated at or contact the ISGRG Secretary (beverlyberger[AT]

New books: Two Volumes from the Prague conference “Relativity and Gravitation—100 years after Einstein in Prague”

”Relativity and Gravitation–100 years after Einstein in Prague”, was the name of the conference held in Prague on June 25-29, 2012, inspired by the title, date, and significance of the last of Einstein’s Prague papers. The aim of the conference was to review the present status of the general theory of relativity (both classical and quantum) and its applications in cosmology and astrophysics from a broad perspective. The second aim was to present the newest results in each of these fields.

The first volume “General Relativity, Cosmology and Astrophysics–Perspectives 100 years after Einstein’s stay in Prague” (J. Bicak and T. Ledvinka eds.) is included in the Springer series Fundamental Theories of Physics, No. 177.

The articles included in this Volume represent a broad and highly qualified view on the present state of general relativity, quantum gravity, and their cosmological and astrophysical implications. As such, it may serve as a valuable source of knowledge and inspiration for experts in these fields, as well as an advanced source of information for young researchers. The contents are divided into four broad parts: (i) Gravity and Prague, (ii) Classical General Relativity, (iii) Cosmology and Quantum Gravity, and (iv) Numerical Relativity and Relativistic Astrophysics. Approaching soon the centenary of Einstein’s famous theory, this volume offers a precious overview of the path done by the scientific community in this field in the last century, defining the challenges of the next 100 years.

The second volume “Relativity and Gravitation–100 Years After Einstein in Prague”, (J. Bicak and T. Ledvinka eds.) is included in the Springer Proceedings in Physics, No. 157.

This volume includes abstracts of the plenary talks (contained in the first volume) and 82 full texts of contributed talks and articles based on the posters presented at the conference. These describe primarily original results of the authors from 31 countries. The contents are divided into three broad parts: (i) Classical General Relativity, (ii) Cosmology and Relativistic Astrophysics, and (iii) Quantum Fields and Quantum Gravity.

The tables of contents, some sample pages and further information can be obtained from the following links:

Major new reference work: Springer Handbook of Spacetime

Edited by Abhay Ashtekar and Vesselin Petkov, the long-awaited Springer Handbook of Spacetime is now available, also as an eBook. It is dedicated to the ground-breaking paradigm shifts embodied in the two relativity theories, and describes in detail the profound reshaping of physical sciences they ushered in. In a single volume it includes chapters on foundations, on the underlying mathematics, on physical and astrophysical implications, experimental evidence and cosmological predictions, as well as discussing efforts to unify general relativity and quantum physics. The Handbook can be used as a desk reference by researchers in a wide variety of fields, not only by specialists in relativity but also by researchers in related areas that either grew out of, or are deeply influenced by, the two relativity theories: cosmology, astronomy and astrophysics, high energy physics, quantum field theory, mathematics, and philosophy of science. It should also serve as a valuable resource for graduate students and young researchers entering these areas, and for instructors who teach courses on these subjects.
The Handbook is divided into six parts: Part A: Introduction to Spacetime Structure. Part B: Foundational Issues. Part C: Spacetime Structure and Mathematics. Part D: Confronting Relativity theories with observations. Part E: General relativity and the universe. Part F: Spacetime beyond Einstein.

New book: “An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity”, by L. Godinho and J. Natario

An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext), by Leonor Godinho, Jose Natario

Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.

The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects.

The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.

Exclusive 30% discount on books from Oxford University Press

Key Cosmology and Relativity titles, both new and established are now available with a 30% Discount from Oxford.

To obtain your discount visit add the book to your shopping basket and use promo code AAFLY6 at the checkout. Offer Expires 31/08/2014

Introduction to 3+1 Numerical Relativity
Miguel Alcubierre
WAS £69.99 NOW £48.99

A First Course in Loop Quantum Gravity
Rodolfo Gambini and Jorge Pullin
WAS £36.50 NOW £25.55

Gravitational Waves
Volume 1: Theory and Experiments
Michele Maggiore
WAS £57.50 NOW £42.25

Relativistic Hydrodynamics
Luciano Rezzolla and Olindo Zanotti
WAS £55.00 NOW £38.50

Relativity: Special, General, and Cosmological
Second Edition
Wolfgang Rindler
WAS £39.99 NOW £27.99

Steven Weinberg
WAS £52.50 NOW £36.75

Book with A. A. Friedmann’s papers on cosmology

Alexander A. Friedmann, Papers On Curved Spaces and Cosmology (Minkowski Institute Press, Montreal 2014), 74 pages

This book contains three papers by Friedmann – “On the Curvature of Space” (1922), “On the Possibility of a World with a Constant Negative Curvature of Space” (1924), and “On the Geometry of Curved Spaces”. The third paper is a 28-page manuscript (dated 15 April 1922) which has not been published even in Russian.

Unlike the existing two English translations of Friedmann’s 1922 and 1924 papers (done from the German publications), now these papers are translated directly from the original Russian texts.

Vesselin Petkov

New book: “Relativistic Hydrodynamics”, by Luciano Rezzolla and Olindo Zanotti

Relativistic Hydrodynamics
Luciano Rezzolla, Olindo Zanotti
Oxford University Press, 2013
Hard back, 752 pages, 128 colour illustrations, available as ebook
Contents and reviews at

Price: 55 GPB/70 EUR; 20% discount available for hyperspace readers. Enter the code AAFLY4 in the promotional code box when adding to the basket (offer valid till 30.11.13).

Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of matter from scales as small as those of colliding elementary particles, up to the largest scales in the universe. This book provides an up-to-date, lively, and approachable introduction to the mathematical formalism, numerical techniques, and applications of relativistic hydrodynamics. The topic is typically covered either by very formal or by very phenomenological books, but is instead presented here in a form that will be appreciated both by students and researchers in the field.

The topics covered in the book are the results of work carried out over the last 40 years, which can be found in rather technical research articles with dissimilar notations and styles. The book is not just a collection of scattered information, but a well-organized description of relativistic hydrodynamics, from the basic principles of statistical kinetic theory, down to the technical aspects of numerical methods devised for the solution of the equations, and over to the applications in modern physics and astrophysics. Numerous figures, diagrams, and a variety of exercises aid the material in the book. The most obvious applications of this work range from astrophysics (black holes, neutron stars, gamma-ray bursts, and active galaxies) to cosmology (early-universe hydrodynamics and phase transitions) and particle physics (heavy-ion collisions).

It is often said that fluids are either seen as solutions of partial differential equations or as “wet”. Fluids in this book are definitely wet, but the mathematical beauty of differential equations is not washed out.

Readership: Graduate and post-graduate students, professors, lecturers, and researchers in astrophysics, particle physics, and applied mathematics.

New book: “Special Relativity in General Frames” by Eric Gourgoulhon

Special Relativity in General Frames: From Particles to Astrophysics
Eric Gourgoulhon
Springer, 2013
784 pages

Special relativity is presented by adopting a four-dimensional point of view from the start. A distinctive feature of the book is that it doesn’t restrict itself to inertial frames and considers accelerated and rotating observers. It is thus possible to treat physical effects such as the Thomas precession or the Sagnac effect in a simple yet precise manner. In the final chapters, more advanced topics like tensorial fields in spacetime, exterior calculus, relativistic hydrodynamics and relativistic gravity are addressed. Illustrated by 178 figures and enriched by many historical notes, this book also presents many applications of special relativity, ranging from particle physics (accelerators, particle collisions, quark-gluon plasma) to astrophysics (relativistic jets, active galactic nuclei), and including practical applications (Sagnac gyrometers, synchrotron radiation, GPS). In addition, the book provides some mathematical developments, such as the detailed analysis of the Lorentz group and its Lie algebra.

1. Minkowski Spacetime
2. Worldlines and Proper Time
3. Observers
4. Kinematics 1: Motion with Respect to an Observer
5. Kinematics 2: Change of Observer
6. Lorentz Group
7. Lorentz Group as a Lie Group
8. Inertial Observers and Poincaré Group
9. Energy and Momentum
10. Angular Momentum
11. Principle of Least Action
12. Accelerated Observers
13. Rotating Observers
14. Tensors and Alternate Forms
15. Fields on Spacetime
16. Integration in Spacetime
17. Electromagnetic Field
18. Maxwell Equations
19. Energy-Momentum Tensor
20. Energy-Momentum of the Electromagnetic Field
21. Relativistic Hydrodynamics
22. What about Relativistic Gravitation?
A. Basic Algebra
B. Web Pages
C. Special Relativity Books

More details on

New Book: “General Relativity: 1972 Lecture Notes” by Robert Geroch

Robert Geroch’s lecture notes on general relativity are unique in three main respects. First, the physics of general relativity and the mathematics, which describes it, are masterfully intertwined in such a way that both reinforce each other to facilitate the understanding of the most abstract and subtle issues. Second, the physical phenomena are first properly explained in terms of spacetime and then it is shown how they can be “decomposed” into familiar quantities, expressed in terms of space and time, which are measured by an observer. Third, Geroch’s successful pedagogical approach to teaching theoretical physics through visualization of even the most abstract concepts is fully applied in his lectures on general relativity by the use of around a hundred figures.

Although the book contains lecture notes written in 1972, it is (and will remain) an excellent introduction to general relativity, which covers its physical foundations, its mathematical formalism, the classical tests of its predictions, its application to cosmology, a number of specific and important issues (such as the initial value formulation of general relativity, signal propagation, time orientation, causality violation, singularity theorems, conformal transformations, and asymptotic structure of spacetime), and the early approaches to quantization of the gravitational field.

Robert Geroch, General Relativity: 1972 Lecture Notes (Minkowski Institute Press, Montreal 2013)

New book: “Heart of Darkness-Unraveling the Mysteries of the Invisible Universe” by Jeremiah P. Ostriker and Simon Mitton

Authors: Jeremiah P Ostriker and Simon Mitton
Publisher: Princeton University Press
ISBN: 9780691134307

Heart of Darkness is a popular science book (level of reader = college educated) that describes the incredible saga of humankind’s quest to unravel the deepest secrets of the universe. Over the past thirty years, scientists have learned that two little-understood components–dark matter and dark energy–comprise most of the known cosmos, explain the growth of all cosmic structure, and hold the key to the universe’s fate. The story of how evidence for the so-called “Lambda-Cold Dark Matter” model of cosmology has been gathered by generations of scientists throughout the world is told here by one of the pioneers of the field, Jeremiah Ostriker, and his coauthor Simon Mitton.

New book: “Gauge Theories of Gravitation”, M. Blagojevic and F.W. Hehl (eds.)

M. Blagojevic (Belgrade) and F.W. Hehl (Cologne and Columbia, MO), Editors,


Foreword by T.W.B. Kibble, FRS
Imperial College Press, London, April 2013

Part A The Rise of Gauge Theory of Gravity up to 1961
1. From Special to General Relativity Theory
2. Analyzing General Relativity Theory
3. A Fresh Start by Yang–Mills and Utiyama

Part B Poincar´e Gauge Theory
4. Einstein–Cartan(–Sciama–Kibble) Theory as Viable Gravit. Theory
5. General Structure of Poincare Gauge Theory (Including Quadratic Lagrangians)
6. Translational Gauge Theory
7. Fallacies About Torsion 259

Part C Extending the Gauge Group of Gravity
8. Poincare Group Plus Scale Transformations: Weyl–Cartan Gauge Theory of Gravity
9. From the Poincare to the Affine Group: Metric-Affine Gravity
10. Conformal Gauge Theory of Gravity
11. (Anti-)de Sitter Gauge Theory of Gravity
12. From the Square Root of Translations to the Super Poincare Group

Part D Specific Subjects of Metric-Affine Gravity and Poincare Gauge Theory
13. Hamiltonian Structure
14. Equations of Motion for Matter
15. Cosmological Models
16. Exact Solutions
17. Poincare Gauge Theory in Three Dimensions
18. Dislocations and Torsion
19. The Yang Episode: A Historical Case Study

Experts in gravity who want to purchase a copy of the book, can get presently a 25% discount on it. Please go to the link

and quote WSSPPK25 upon checking out your shopping cart. Then you will enjoy a 25% discount.


New book: “Black Holes in Higher Dimensions”, edited by Gary Horowitz

A new book devoted to higher dimensional black holes has recently been published. This edited volume includes contributions from the leading experts in the field.

“Black Holes in Higher Dimensions”
Gary T. Horowitz, editor
422 pages
Cambridge University Press

For more information, see

Minkowski Institute Press and Minkowski’s papers on relativity

Dear Colleagues,

This message is to inform you of the launching of a new academic publisher – the Minkowski Institute Press (MIP):

MIP’s first book is: “Hermann Minkowski, Space and Time: Minkowski’s papers on relativity” (Minkowski Institute Press, Montreal 2012), 123 pages.

Minkowski’s three papers have never been published together either in German or English and Das Relativitätsprinzip has not been translated into English so far. More information about the book is available at:

Its free version is also available there as well as in Apple’s iBookstore:

MIP will publish textbooks (and lecture notes), monographs, and introductory science and technology books for a wider audience. All books will be ebooks, but print on demand is available; we have received advanced orders for the first book and a week ago the first 110 softcover copies were printed, half of which are now already sold.

Four distinct features of MIP are:

(i) offering books at affordable prices as a means to reach more readers all over the world,
(ii) authors receive 20-25% royalties based on the ebook price (royalties options are given in the publishing agreement the authors sign),
(iii) rapid publication; once a book is accepted (after a reasonable review period) and the submitted manuscript is in LaTeX, MIP will try to publish the ebook within a month.
(iv) most of the profit will be one of the steady sources of funding of a new institute (; so publishing with MIP will support the Minkowski Institute.

If you would like to receive the MIP Newsletter (announcing new publications), send a blank email to info[AT]

Best wishes,

Vesselin Petkov
Institute for Foundational Studies “Hermann Minkowski”
Montreal, Quebec, Canada

New book: “Patterns in Physics, Toward a Unifying Theory” by Rejean Plamondon

I am pleased to announce the recent publication of my book:

“Patterns in Physics, Toward a Unifying Theory”, by Rejean Plamondon, 214 pages; 49 figures.
Presses Internationales Polytechnique, June 2012.

The main message conveyed throughout the book is that the four basic interactive forces of physics, which are considered to be empirical facts, can be seen as emergent phenomena described by specific mathematical patterns, when seen through the appropriate representation and interpretation schemes. Similarly, in such a model, once a coherent set of physical units is defined, the values of the fundamental constants can be seen as numerical parametric patterns that can be predicted after taking into account the various projections that are required to perform these measurements as well as the physical environment and the specific context in which these estimates are made.

More specifically, in generalizing a statistical pattern recognition methodology, it is possible to point out some basic patterns that could contribute to bridging the gap between quantum mechanics and general relativity. The whole argument stems from two basic principles: the principle of interdependence and the principle of asymptotic congruence. It starts with an analogy between problem-solving methods in physics and the search for solutions in statistical pattern recognition. Based on this heuristic and analogical approach, a probabilistic version of the Einstein field equations is derived and a solution for the case of a weak-field symmetric massive object is proposed on the grounds of the central limit theorem and the Bayes’ law. The model has only one emergent characteristic feature, a constant parameter which can be associated to the intrinsic proper length or the space-time response of the physical system. The resulting field and potential equations can be seen as generalizations of Newton’s empirical law. Once incorporated in the metric it leads to very chllenging predictions, regarding for example the dark matter and dark energy.

Rejean Plamondon

Ecole Polytechnique de Montreal
Quebec, CANADA

New book: “Relativistic Astrophysics of the Transient Universe” by M.H.P.M. van Putten and A. Levinson

Relativistic Astrophysics of the Transient Universe: Gravitation, Hydrodynamics and Radiation
by Maurice H. P. M. Van Putten and Amir Levinson
Cambridge University Press, 2012

Advance praise:
‘Van Putten and Levinson have made an enjoyable compilation of all those strange things that can happen in our Universe, not only providing detailed physical calculations to understand them, but also including descriptions of all the channels of radiation that we can use to receive as much information about them as we can.’
Gerard ‘t Hooft, Utrecht University, from the Foreword

New Book: “The Geometry of Special Relativity” by Tevian Dray

I am pleased to announce the imminent publication of my book:
“The Geometry of Special Relativity”, by Tevian Dray,
150 pages; 70 figures.
A K Peters/CRC Press, 2012.

Publication details are available at:

This book emphasizes the use of hyperbolic triangle trigonometry to solve problems in special relativity.

An online version of the book also exists in both wiki and PDF formats:

Please note that the online version does not contain all of the editorial changes in the print edition.

Companion volumes on differential forms and general relativity are planned; early drafts are available at:

Tevian Dray
Professor of Mathematics
Oregon State University

New book: “The General Theory of Relativity: A Mathematical Exposition” by Anadijiban Das and Andrew DeBenedictis

Anadijiban Das and Andrew DeBenedictis
“The General Theory of Relativity: A Mathematical Exposition”
705 pages, 105 figures.
Springer (2012).

“The General Theory of Relativity: A Mathematical Exposition” will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to:

– tensor analysis,
– the special theory of relativity,
– the general theory of relativity and Einstein’s field equations,
– spherically symmetric solutions and experimental confirmations,
– static and stationary space-time domains,
– black holes,
– cosmological models,
– algebraic classifications and the Newman-Penrose equations,
– the coupled Einstein-Maxwell-Klein-Gordon equations,
– appendices covering mathematical supplements and special topics,

Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars.

For full publication details please see:

“Quantum Gravity” by C. Kiefer (third edition)

Claus Kiefer: “Quantum Gravity” (Third Edition)
International Series of Monographs on Physics 155, 408 pages
Oxford University Press 2012

Table of Contents:

1: Why quantum gravity?
2: Covariant approaches to quantum gravity
3: Parametrized and relational systems
4: Hamiltonian formulation of general relativity
5: Quantum geometrodynamics
6: Quantum gravity with connections and loops
7: Quantization of black holes
8: Quantum cosmology
9: String theory
10: Phenomenology, decoherence, and the arrow of time

For more information, see:

New Book: “Relativistic Cosmology” by G. Ellis, R. Maartens and M. MacCallum

“Relativistic Cosmology” by George F.R. Ellis, Roy Maartens and Malcolm A.H. MacCallum, was published on 22 March 2012.

Full publication details are available at as is a sample consisting of the first 10 pages, the index, and the full table of contents. It’s also listed on Amazon but not (yet) on Abe Books. CUP advise that stocks for the US will arrive in about 6 weeks.

The book has 636 pages and 68 black and white illustrations, many of which are also available in colour on the web page above. Extensive references (40 pages of them) are provided.

From the cover:

Cosmology has been transformed by dramatic progress in high-precision observations and theoretical modelling. This book surveys key developments and open issues for graduate students and researchers. Using a relativistic geometric approach, it focuses on the general concepts and relations that underpin the standard model of the Universe.

Part 1 covers foundations of relativistic cosmology whilst Part 2 develops the dynamical and observational relations for all models of the Universe based on general relativity. Part 3 focuses on the standard model of cosmology, including inflation, dark matter, dark energy, perturbation theory, the cosmic microwave background, structure formation and gravitational lensing. It also examines modified gravity and inhomogeneity as possible alternatives to dark energy. Anisotropic and inhomogeneous models are described in Part 4, and Part 5 reviews deeper issues, such as quantum cosmology, the start of the universe and the multiverse proposal.