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Synopsis
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.
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Review
" G.Ellis and R. Williams two seasoned and wellknown Relativists, have done a super job in suceeding to present " just the facts" and at the same time make their book a pleasure to read, even for motivated, non-experts" (European Astronomical Society Newsletter)
About the Author
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
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- PublisherOxford University Press, USA
- Publication date2001
- ISBN 10 0198506562
- ISBN 13 9780198506560
- BindingPaperback
- Edition number2
- Number of pages392
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Flat and Curved Space-Times
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