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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:

http://www.springer.com/physics/theoretical%2C+mathematical+%26+computational+physics/book/978-1-4614-3657-7

or

http://www.sfu.ca/~adebened/grbook/