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| Israel W. (ed.) — Relativity, astrophysics and cosmology |
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| Предметный указатель |
Aberration 12 69
Absolute time 13 195
Absorption of radiation (cosmology) 219
Accelerated frame 49
Acceleration, action of group 304
Acceleration, Coriolis and centrifugal B acceleration, relative 10
Action principle, for elementary dynamical system 242
Action principle, for field 246 250
Action principle, geometrodynamical 41 259
Action principle, Hilbert’s 41
Adiabatic index 160
Affine connection see connection
Angular diameter (cosmology) 68 209 218
Angular velocity of arbitrary frames 48
Anisotropic spacetimes 231
Approximation methods for solving Einstein’s field equations 106-114 143-146 227-230
Atlas 289
Background radiation (cosmology) 68 197
Balance equations (kinetic theory) 71
Baryon conservation 94 155
Basis of tangent space 292 294
Bending of light 136 141
Bianchi identity 12 318
Bianchi type (homogeneous spacetimes) 233
big bang 223-226
Big bang, singularity structure 220 231
Black hole 171
Black hole uniqueness 187-188
Black hole, accretion of matter 194
Black hole, collisions 191
Black hole, dynamics 188
Black hole, extraction of rotational energy 191
Black hole, irreducible mass 191
Black hole, Kerr 179 185
Black hole, scalar field 180
Black hole, tidal friction 193
Black hole, ‘no hair’ theorems 187
Boltzmann equation 66 76 198
Boltzmann H-theorem 80
Boltzmann — Einstein system of equations 78 198
Brans — Dicke theory 136 139
Bundle frame 305
Canonical form 261-262
Canonical formalism for fields 245 286
Canonical formalism for particle dynamics 242 286
Canonical quantization 238 284
Canonical structure of phase space 57
Cartan exterior calculus 58-63 296-298
Cartan structural equations 317
Carter’s Theorem 188
Cauchy initial value problem 40 78 112
Causal spaces 29
Causal structure 3
Centrifugal force 49
Chaotic cosmology 231
Chapman — Enskog method 86
Chart 289
chemical potential 83 203
Chronogeometry 3
Chronological order 23
Clausius — Duhem inequality 93
Clocks, ideal 18
Clocks, light 34
Co-ordinates, comoving 90 205
Co-ordinates, geodesic 44
Co-ordinates, harmonic 112 144
Collapse, gravitational, external scalar field of collapsing star 181
Collapse, gravitational, non-spherical 178
Collapse, gravitational, spherically symmetric 166
Collapse, gravitational, two-dimensional 179
Collision times 222
Collision-free behavior of cosmological matter 223
Collision-time approximation 234
Collisions in Galilean dynamics 5
Collisions in relativistic kinetic theory 64
Commutation relations of covariant derivatives 46 315
Commutation relations of geometrodynamical constraints 250 260 268 287-288
Commutation relations of group generators 255
Commutator of vector fields 296
Conformal curvature tensor 206
Conformal structure 12 27
Connection, 1-forms 312
Connection, affine 6 15 128 310-315 318-319
Connection, geodesically complete 321
Conservation of energy and momentum 16 70-71 103
Constitutive equations 94-98
Constraints in generally covariant theories 244-250 286-287
Continuum mechanics 89-98
Contracted r-form 60
Convective derivative 92
Conversion factors 154 197
Coriolis force 49
Cosmic censorship hypothesis 178-179
Cosmological  -term 43
Cosmological space-times 204
Cosmological space-times, anisotropic 231
Cosmological space-times, Einstein de Sitter 214-227
Cosmological space-times, Friedmann 175 213-227
Cosmological space-times, inhomogeneous 227-231
Cosmological space-times, Robertson — Walker 213-214
Cotangent bundle 56
Cotangent vector space 293
Covariant derivative 310-311
Critical energy density (cosmology) 197
Cross-section of frame bundle 317
Cross-section, collision 94-95
Curvature, 2-forms 317
Curvature, extrinsic 256
Curvature, sectional 51
Curvature, tensor 9 35 315-318
Curve, in manifold 290
Curve, lift of 311
Cylindrical gravitational waves (quantization) 275-282 288
Deceleration equation (cosmology) 213
Deflection of electromagnetic waves by solar field 136 141
Deformation of a hypersurface 252-259
Deformation rate (continuum mechanics) 89
Deformation tensor 93
Delayed little bang (cosmology) 230
Density, critical energy density (cosmology) 197
Density, perturbations (cosmology) detailed balancing 66
Detector (gravitational waves) 146
Differential forms 58-63 296-298
Differential of a map 198 298
Dififeomorphism 298
Dilations of Minkowski space-time 15
Directional derivative 310-311
Dissipation effects (kinetic theory) 84-87
Dissipation of anisotropy (cosmology) 233-235
Distribution function (kinetic theory) 66 200
Distribution function (kinetic theory), equilibrium 83-84 203
Distribution function (kinetic theory), moments of 70
Distribution function (kinetic theory), photon 207
Divergence operator 60
Dual of tangent space 293
Dynamical momentum 249
Dynamical variables 242
Dynamical velocities 243-247
Dynamics of Riemannian spacetime 258
E tvs — Dicke experiment 7 9 128-129
Eikonal equation 100
Einstein de — Sitter space 214
Einstein field equations, action principle for 41
Einstein field equations, approximation methods 21-22 106-114 143-146 228-231
Einstein field equations, general solution 272
Einstein field equations, Green’s function 109
Einstein field equations, heuristic derivation 22
Einstein field equations, initial-value problem 40
Einstein field equations, integro-differential form 109
Einstein field equations, Landau — Lifschitz form 111
| Einstein field equations, linearized 109-110 143-144
Einstein field equations, Lorentz-invariant field theoretical derivation 42
Einstein — Boltzmann system of equations 78 198-199
Einstein — Rosen cylindrical waves 275-283
Einstein — Schrdinger equation 269
Endstates of stellar evolution 159-163
Energy, balance (continuum mechanics) 94
Energy, canonical 247
Energy, density 84
Energy, flux (of astronomical sources) 206
Energy, inequality 70
Energy, momentum tensor 16 42 70 200
Entropy, current density 99 200
Entropy, density (cosmology) 84 204
Entropy, inequality 80 93 95
Equations of motion, continuum mechanics 94
Equations of motion, for extended bodies 101-106
Equations of state 86 155 158
Equations of state of dense matter 160-163
Equations of structure for spherical stars 156-159
Equilibrium, thermodynamical 81-84 223
Equivalence principle, strong 18 46 129-130
Equivalence principle, weak 7 128-129 325
Ergosphere 187
Ether drift experiment 13
Eulerian description 92
Eulerian time evolution equations 98
Event horizon, cosmology 220
Event horizon, gravitational collapse 172 177 186
Expansion, rate of (continuum mechanics) 90
Experiments, gravitational radiation 142-150
Experiments, Kreutzer 133
Experiments, mass anisotropy 131-132
Experiments, redshift 130-131
Experiments, solar system 132-142
Exponential map 321-322
Exterior derivative 59 296-298
Exterior product 59 297
Extrinsic curvature 256
Extrinsic time 279
Fermat principle for light rays in gravitational fields 135
Fermi gases 82
Fermi transport 47
Field equations see Einstein field equations Maxwell’s Poisson’s
Field equations, new possibilities for 42
Fluids 105
Fluids, perfect 154 203
Frame bundle 305-308
Free energy 97
Friedmann cosmology 175 213-216
Frozen formalism 264 287
Fundamental constants, variability of 130
G-boundary 220
Galaxy formation 220-221 227-230
Galilean group 6
Galilean manifold 3
Galilean reference frame 48
Gauge group 240
Gauge transformations (gravitational perturbation theory) 107 228
General linear group 303 306
Generators of infinite dimensional groups 254
Geodesic 8 216 320-322
Geodesic, completeness 168
Geodesic, coordinates 44-46
Geodesic, deviation 10 21 50 145 170
Geodesic, law for test particles 8-9 29-30 101-106 128
Geodesic, lightlike 28 208-209
Geodesic, spray 57
Geodesic, stationary fields 134-136
Geodesic, triangle 258 285-287
Geometrical optics 99-101
Geometrodynamics 258 285-287
Gibbs relation 83
Grad method of moments 87-89
Gravitational collapse, non-spherical 178-185
Gravitational collapse, spherically symmetric 166-178
Gravitational field equations see Einstein field equations Poisson’s
Gravitational field strength 6 20 158
Gravitational focussing 219
Gravitational mass, active 13 132
Gravitational mass, passive 6
Gravitational potential 7 156 158
Gravitational radiation 142-150
Gravitational radiation, in black holes collisions 191
Gravitational radius 159
Gravitational wave modes 229
Gravitational waves 143-146
Gravitational waves, cylindrical 275-283
Gravitational waves, experiments 146-150
Gravitational waves, plane 113
Gravity, as spin two self-coupled field 42 110
Gravity, Einstein’s description 16-22
Gravity, Newtonian theory 3-12
Green’s function for Einstein field equations 109
Gyroscope, axis 206
Gyroscope, experiment 140
Gyroscope, relativistic 104
Hadron physics in cosmology 224
Hagedorn model 224
Hamiltonian, density of field 247
Hamiltonian, of gravitational field 261
Hamiltonian, of particle 56 243
Harmonic coordinates 109 112 144
Hawking’s theorem black hole area 188-189
Heat, conduction 87
Heat, inertia of 94
Helium production 226
Hilbert action principle 41 261
Homogeneity of universe 199
Homogeneous anisotropic spacetimes 231-235 274
Horizons see EVENT horizons
Horizontal life 311
Horizontal subspace 311-315
Hubble constant 197 213
Hydrodynamics, relativistic 89-98 204-207
Hydrostatic equilibrium 119-122
Hyperon stars 166
Hypersurface deformation 251-258
Hypersurface element 62
Inertia, law of 6 29
Inertial frames 6 13-14 48
Inertial frames,local 16 49
Inhomogeneous cosmological models 227-231
Initial conditions in cosmology 224
Initial value problem 40 78 112
Integral curve of vector field 301
Integro-differential form of gravitational field equations 109
Intensity, specific 68 207
Irreducible mass of black hole 191
Irrotational motion 92
Isometry 198 320
Isometry group 114-115 232-233
Isotropic solutions of Einstein — Liouville equations 69
Isotropic visco-elastic solid 97
Isotropy of universe 199
Iteration methods for solving Einstein equations 111-114
Junction conditions 121-122
Kerr black hole 179 185-188
Killing equation 320
Killing vector fields 210 275 310
Kinematical group of Galilean spacetime 5
Kinematical momenta 249
Kinematical velocities 247
Kinetic theory 63-89 200-204
Klein — Gordon equation 264
Kreutzer experiment 11 132
Kruskal coordinates 167-168
Kruskal extended Schwarzschild spacetime 117-119
Kruskal labelled hypersurface 251
Lagrangean description 92
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