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

Flat and Curved Space-Times

Paperback Published: 1st November 2000
ISBN: 9780198506560
Number Of Pages: 392

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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.

Industry Reviews

" 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 *

Preface to second edition Preface Introduction 1: Space-time diagrams and the foundation of special relativity 2: Fundamentals of measurement 3: Measurements in flat space-time 4: The Lorentz transformation and the invariant interval 5: Curved space-times 6: Spherical and stellar collapse 7: Simple cosmological models Afterword Appendices A. Line integrals B. Four-vectors and relativistic dynamics C. Four-tensors, electromagnetism, and energy-momentum conservation Index

ISBN: 9780198506560
ISBN-10: 0198506562
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 392
Published: 1st November 2000
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 23.39 x 15.6  x 2.03
Weight (kg): 0.65
Edition Number: 2
Edition Type: Revised

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