Flat and Curved Space-Times / Edition 2

Flat and Curved Space-Times / Edition 2

ISBN-10:
0198506562
ISBN-13:
9780198506560
Pub. Date:
01/11/2001
Publisher:
Oxford University Press
ISBN-10:
0198506562
ISBN-13:
9780198506560
Pub. Date:
01/11/2001
Publisher:
Oxford University Press
Flat and Curved Space-Times / Edition 2

Flat and Curved Space-Times / Edition 2

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Overview

The present book explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasized 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.

Product Details

ISBN-13: 9780198506560
Publisher: Oxford University Press
Publication date: 01/11/2001
Edition description: REV
Pages: 388
Product dimensions: 9.21(w) x 6.14(h) x 0.80(d)

About the Author

University of Cape Town

Cambridge University

University of Pavia

Table of Contents

Introduction1. Space-time diagrams and the foundations of special relativity2. Fundamentals of measurement3. Measurements in flat space-times4. The Lorentz transformation and the invariant interval5. Curved space-times6. Spherical and stellar collapse7. Simple cosmological models8. FinaleAfterwordAppendix A. Line integralsAppendix B. Four-vectors and relativistic dynamicsAppendix C. Four-vectors, electromagnetism, and energy-momentum conservationSymbols usedIndex
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