General Relativity: An Introduction to the Theory of Gravitational FieldThis book is an excellent introduction to the subjects of gravitation and space-time structure. It presumes a good background in special relativity, electrodynamics, and classical mechanics. The book discusses the foundations of Riemannian geometry; the derivation of the Einstein field equations; linearised theory, far fields and gravitational waves; the invariant characterization of exact solutions; gravitational collapse; cosmology; and a final chapter deals with alternative gravitation theories and the problem of quantum gravity. This revised and correct edition brings the experimental evidence up to date. In addition, the sections on quantum gravity have been rewritten and enlarged, and now form a coherent introduction to this subject. |
Contents
IV | 1 |
V | 2 |
VI | 4 |
VII | 6 |
VIII | 8 |
IX | 12 |
X | 14 |
XI | 15 |
LXVII | 147 |
LXVIII | 149 |
LXIX | 151 |
LXX | 154 |
LXXI | 158 |
LXXII | 160 |
LXXIII | 164 |
LXXIV | 166 |
XII | 17 |
XIII | 20 |
XIV | 24 |
XV | 25 |
XVII | 27 |
XVIII | 30 |
XIX | 33 |
XX | 34 |
XXI | 37 |
XXII | 42 |
XXIII | 45 |
XXIV | 46 |
XXV | 47 |
XXVI | 49 |
XXVII | 51 |
XXVIII | 52 |
XXIX | 54 |
XXX | 56 |
XXXI | 60 |
XXXII | 61 |
XXXIII | 62 |
XXXIV | 64 |
XXXV | 66 |
XXXVI | 67 |
XXXVII | 70 |
XXXVIII | 73 |
XXXIX | 78 |
XL | 80 |
XLI | 83 |
XLII | 84 |
XLIII | 86 |
XLV | 89 |
XLVI | 91 |
XLVII | 95 |
XLVIII | 99 |
XLIX | 102 |
L | 104 |
LI | 105 |
LII | 108 |
LIII | 113 |
LIV | 114 |
LV | 119 |
LVI | 120 |
LVII | 122 |
LVIII | 125 |
LIX | 126 |
LX | 128 |
LXI | 129 |
LXII | 130 |
LXIII | 132 |
LXIV | 136 |
LXV | 138 |
LXVI | 141 |
LXXV | 168 |
LXXVI | 171 |
LXXVIII | 175 |
LXXIX | 178 |
LXXX | 183 |
LXXXI | 184 |
LXXXII | 187 |
LXXXIII | 189 |
LXXXIV | 192 |
LXXXV | 194 |
LXXXVI | 195 |
LXXXVII | 196 |
LXXXVIII | 198 |
LXXXIX | 200 |
XC | 204 |
XCI | 210 |
XCII | 211 |
XCIII | 212 |
XCIV | 213 |
XCV | 221 |
XCVII | 222 |
XCVIII | 224 |
XCIX | 227 |
C | 230 |
CI | 231 |
CII | 235 |
CIII | 242 |
CIV | 246 |
CV | 247 |
CVI | 248 |
CVII | 251 |
CIX | 253 |
CX | 256 |
CXI | 260 |
CXII | 265 |
CXIII | 267 |
CXIV | 271 |
CXV | 273 |
CXVI | 275 |
CXVII | 279 |
CXVIII | 283 |
CXIX | 284 |
CXX | 288 |
CXXI | 289 |
CXXII | 292 |
CXXIV | 295 |
CXXV | 297 |
CXXVI | 298 |
CXXVII | 299 |
CXXVIII | 300 |
309 | |
319 | |
Other editions - View all
General Relativity: An Introduction to the Theory of Gravitational Field Hans Stephani No preview available - 1990 |
Common terms and phrases
angular momentum arbitrary Bibliography to section black hole calculations Christoffel symbols components conservation law coordinate system coordinate transformations cosmological models covariant derivative curvature tensor curve defined described dsĀ² eigenvectors Einstein field equations Einstein theory energy energy-momentum tensor equations of motion example field tensor finite flat space follows formula Friedmann universe function gravitational field gravitational theory gravitational waves hypersurface inertial system integral invariant K(ct Killing vectors Lie derivative light rays line element linearized theory Lorentz mass density metric tensor Minkowski space Newtonian null tetrad observer obtain parallel parameter partial derivatives photons physical possible properties quantities quantum radiation radius red shift region relation relativity Riemannian space Robertson-Walker metrics rotation satisfied scalar Schwarzschild metric Schwarzschild solution singularity space-time spacelike spatial spherically symmetric star surface test particles three-dimensional space timelike tion vacuum solution vanish vector field velocity Weyl tensor world line zero