A First Course in General Relativity

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Content summary:

  1. Special relativity
  2. Vector analysis in special relativity
  3. Tensor analysis in special relativity
  4. Perfect fluids in general relativity
  5. Preface to curvature
  6. Curved manifolds
  7. Physics in a curved spacetime
  8. The Einstein field equations
  9. Gravitational radiation
  10. Spherical solution for stars
  11. Schwarzschild geometry and black holes
  12. Cosmology

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Description

A First Course in General Relativity by Bernard Schutz is a definite classic introductory text beloved by undergraduate and postgraduate students. Clarity, readability and rigor are combined in the second edition of this widely-used textbook to provide the first steps into general relativity for students with a minimal background in university mathematics.

General relativity, at one point a rather obscure field of research with a drought of applications, is now regarded as one of the cornerstones of modern physics. Topics within relativity that fascinate astrophysical researchers and students alike are covered with Schutz’s characteristic ease and authority — from black holes to gravitational lenses, from pulsars to the study of the Universe as a whole.

This new edition contains discoveries by astronomers that require general relativity for their explanation; a revised chapter on relativistic stars, including new information on pulsars; an entirely rewritten chapter on cosmology; and an extended, comprehensive treatment of modern detectors and expected sources.

The text also contains over 300 exercises, many of which are new to this edition. The exercises give students the confidence to work with general relativity and the necessary mathematics, whilst the informal writing style makes the subject matter easily accessible. The solutions to exercises and extra material is available in the Student’s Manual.

About the Author

Bernard F. Schutz is an American physicist. His research is focused on Einstein’s theory of general relativity, more specifically on the physics of gravitational waves. As one of the directors and the head of the astrophysics group at the Max Planck Institute for Gravitational Physics in Potsdam, Germany, Schutz leads the effort behind the revolutionary research of gravitational waves. He is also a principal investigator in charge of data analysis for the GEO600 collaboration.

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