Flat and Curved Space-timesOxford University Press, 2000 - 375 pagina's 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. |
Inhoudsopgave
Introduction | 1 |
Fundamentals of measurement | 35 |
Measurements in flat spacetimes | 49 |
The Lorentz transformation and the invariant interval 122 22 | 122 |
Curved spacetimes | 186 |
Spherical and stellar collapse | 240 |
Finale | 313 |
B Fourvectors and relativistic dynamics | 325 |
Fourvectors electromagnetism and energy | 341 |
| 368 | |
Overige edities - Alles bekijken
Flat and Curved Space-times George Francis Rayner Ellis,Ruth M. Williams Geen voorbeeld beschikbaar - 1988 |
Veelvoorkomende woorden en zinsdelen
acceleration angle black holes causal clock components consider constant coordinate system cosmology curvature curved space-times defined density detector determine dilation direction dr² ds² Earth effect Einstein's electromagnetic emitted energy equations event Q example Exercise flat space-time four-dimensional four-momentum four-vector four-velocity frame F fundamental observers galaxies geodesic given gravitational field gravitational waves images initial interval invariant K-factor length contraction light cone light rays light travel Lorentz transformation magnetic field matter metric form metric tensor Minkowski momentum moving Newtonian theory object parallel transport particle horizon past light cone path photograph photons physical position quantity quantum r₁ radar radiation redshift reference frame relation relative motion relativistic relativity theory represent rest frame rest mass result rocket rotation Section shows signals space-time diagram spatial distance special relativity speed of light star stationary surfaces of simultaneity t₁ time-like twin paradox universe model vector world-line x-direction zero