Flat and Curved Space-Times
Seiten
2000
|
2nd Revised edition
Oxford University Press (Verlag)
978-0-19-850657-7 (ISBN)
Oxford University Press (Verlag)
978-0-19-850657-7 (ISBN)
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.
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.
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.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
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
| Erscheint lt. Verlag | 1.11.2000 |
|---|---|
| Zusatzinfo | 5 halftones, 220 line figures |
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 162 x 241 mm |
| Gewicht | 799 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik | |
| Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie | |
| ISBN-10 | 0-19-850657-0 / 0198506570 |
| ISBN-13 | 978-0-19-850657-7 / 9780198506577 |
| Zustand | Neuware |
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