Flat and Curved Space-Times by G. F. R. EllisFlat and Curved Space-Times by G. F. R. Ellis

Flat and Curved Space-Times

byG. F. R. Ellis, R. M. Williams

Paperback | November 15, 2000

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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 ofsimultaneity. 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, andleads 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. Inaddition, this new edition contains up-to-date information on black holes, gravitational collapse, and cosmology.
G.F.R. Ellis, Professor of Mathematics, University of Cape Town, South Africa. R.M. Williams, Assistant Director of Research, Department of Applied Mathematics and Theoretical Physics, University of Cambridge
Title:Flat and Curved Space-TimesFormat:PaperbackPublished:November 15, 2000Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198506562

ISBN - 13:9780198506560

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Table of Contents

Preface to second editionPrefaceIntroduction1. Space-time diagrams and the foundation of special relativity2. Fundamentals of measurement3. Measurements in flat space-time4. The Lorentz transformation and the invariant interval5. Curved space-times6. Spherical and stellar collapse7. Simple cosmological modelsAfterwordAppendicesA. Line integralsB. Four-vectors and relativistic dynamicsC. Four-tensors, electromagnetism, and energy-momentum conservationIndex