Flat and curved space-times

著者

書誌事項

Flat and curved space-times

George F.R. Ellis and Ruth M. Williams ; diagrams by Mauro Carfora

Oxford University Press, 2000

2nd ed

  • : hard
  • : pbk

大学図書館所蔵 件 / 全16件

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注記

"Further reading": p. [315]-317

Includes index

内容説明・目次

巻冊次

: pbk ISBN 9780198506560

内容説明

The present book explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised throughout, and provides the basis of understanding of the special relativity effects of time dilation, length contraction, and the relativity of simultaneity. Bondi's K-calculus is introduced as a simple means of calculating the magnitudes of these effects, and leads to a derivation of the Lorentz transformation as a way of unifying these results. The invariant interval of flat space-time is generalised to that of curved space-times, and leads to an understanding of the basic properties of simple cosmological models and of the collapse of a star to form a black hole. The appendices enable the advanced student to master the application of four-tensors to the relativistic study of energy and momentum, and of electromagnetism. In addition, this new edition contains up-to-date information on black holes, gravitational collapse, and cosmology.

目次

  • APPENDICES
  • INDEX
巻冊次

: hard ISBN 9780198506577

内容説明

The present book explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised throughout, and provides the basis of understanding of the special relativity effects of time dilation, length contraction, and the relativity of simultaneity. Bondi's K-calculus is introduced as a simple means of calculating the magnitudes of these effects, and leads to a derivation of the Lorentz transformation as a way of unifying these results. The invariant interval of flat space-time is generalised to that of curved space-times, and leads to an understanding of the basic properties of simple cosmological models and of the collapse of a star to form a black hole. The appendices enable the advanced student to master the application of four-tensors to the relativistic study of energy and momentum, and of electromagnetism. In addition, this new edition contains up-to-date information on black holes, gravitational collapse, and cosmology.

目次

  • Preface to second edition
  • Preface
  • Introduction
  • 1. Space-time diagrams and the foundation of special relativity
  • 2. Fundamentals of measurement
  • 3. Measurements in flat space-time
  • 4. The Lorentz transformation and the invariant interval
  • 5. Curved space-times
  • 6. Spherical and stellar collapse
  • 7. Simple cosmological models
  • Afterword
  • APPENDICES
  • A. Line integrals
  • B. Four-vectors and relativistic dynamics
  • C. Four-tensors, electromagnetism, and energy-momentum conservation
  • INDEX

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