Flat and Curved Space-Times
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Product details:
- Edition number 2
- Publisher OUP Oxford
- Date of Publication 26 October 2000
- ISBN 9780198506560
- Binding Paperback
- No. of pages388 pages
- Size 235x156x20 mm
- Weight 668 g
- Language English
- Illustrations 5 halftones, 220 line figures 0
Categories
Short description:
Many people know that Einstein invented the theory of relativity, but only few have more than a superficial idea of its content. This book aims to explain the basic features of relativity in detail, emphasising the geometrical aspects by using a large number of diagrams, and assuming no knowledge of higher level mathematics.
MoreLong description:
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.
" 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"
Table of Contents:
Preface to second edition
Preface
Introduction
Space-time diagrams and the foundation of special relativity
Fundamentals of measurement
Measurements in flat space-time
The Lorentz transformation and the invariant interval
Curved space-times
Spherical and stellar collapse
Simple cosmological models
Afterword
Appendices
A. Line integrals
B. Four-vectors and relativistic dynamics
C. Four-tensors, electromagnetism, and energy-momentum conservation
Index
