Numerical Relativity: Solving Einstein’s Equations on the Computer (New Book)

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Numerical Relativity: Solving Einstein’s Equations on the Computer

T. W. Baumgarte and S. L. Shapiro
Cambridge University Press, 2010

Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, this textbook develops the mathematical formalism from first principles, then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. Applications include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and many more.

Features of the book include:

– 300 exercises help readers master new material as it is presented.

– Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations.

– Summary boxes encapsulate some of the most important results for quick reference.

– Applications cover topics of current physical and astrophysical significance.

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