A first course in general relativity

書誌事項

A first course in general relativity

Bernard F. Schutz

Cambridge University Press, c2009

2nd ed

  • : hard

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注記

Previous ed.: 1985

Includes bibliographical references (p. [378]-385) and index

内容説明・目次

内容説明

Clarity, readability and rigor combine in the second edition of this widely-used textbook to provide the first step into general relativity for undergraduate students with a minimal background in mathematics. 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 edition now 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. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, whilst the informal writing style makes the subject matter easily accessible. Selected solutions for instructors are available under Resources.

目次

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

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