Flat and Curved Space-Times

Paperback | November 15, 2000

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

not yet rated|write a review
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.

Pricing and Purchase Info

$115.50

Ships within 1-3 weeks
Ships free on orders over $25

From the Publisher

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 a...

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

other books by G. F. R. Ellis

The Breadwinner Trilogy
The Breadwinner Trilogy

Paperback|Aug 1 2009

$19.89

The Murder House
The Murder House

Paperback|Apr 5 2016

$10.87 online$19.49list price(save 44%)
Normal: A Novel
Normal: A Novel

Paperback|Nov 29 2016

$14.40 online$18.00list price(save 20%)
see all books by G. F. R. Ellis
Format:PaperbackPublished:November 15, 2000Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198506562

ISBN - 13:9780198506560

Look for similar items by category:

Customer Reviews of Flat and Curved Space-Times

Reviews

Extra Content

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