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| Àâòîðèçàöèÿ |
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| Ïîèñê ïî óêàçàòåëÿì |
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| Israel W. — Relativity, Astrophysics and Cosmology |
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| Ïðåäìåòíûé óêàçàòåëü |
Labelled hypersurface 251
Lagrangean description 92
Landau — Lifshitz form of field equations 111
Langrangian density of field 246
Langrangian for gravitational field 41 259
Langrangian for particle 55 243
Lapse function 244 248 262
Left invariant vector field 300—301
Lie, algebra 296 301
Lie, bracket 58
Lie, derivative 58 92 308—310
Lie, group 300—305
Lie, transport 204—206
Lift of curve 311
Lift of vector field 308
Light bending 136—137 141
Light clocks 34
Light rays 23—24
Light rays (in gravitational field (Fermat's principle)) 134—136
Light velocity, finiteness 12
Light, lightlike geodesics see "Geodesics"
Linear connection see "Connection"
Linearized Einstein equations 109—110 143—144
Liouville equation 66—67
Liouville operator 57 198
Liouville photon 68—69
Liouville theorem 63 67
Lorentz group 15
Lorentz metric 13
Lovelock's theorem 40—41
Luminosity of collapsing star 171
Luminosity, distance 101
Lump formation (cosmology) 220—221 227—230
Mach's principle 127
Manifold 289—290
Maps between manifolds 298—300
Mass of neutron star, maximum 162—163
Mass versus radius relationship 162
Mass, anisotropy experiment 131
Material tensor (continuum mechanics) 91
Matter tensor 16 70 200
Matter tensor, non-symmetric 42
Maximum mass of neutron star 162—163
Maxwell equations 15 28 46
Maxwell equations, transition to geometrical optics 99—101
Mean fluid velocity 72
Measurements in curved spacetime 54
Mercury, perihelion precession 10 138—141
Metric 295
Metric, connection 318—320
Metric, Galilean 3
Metric, theories of gravity 133—134
Microwave background 68 197
Mini superspace 272—275 288
Minimal gravitational coupling principle 46
Minkowski geometry 13
Moment, approximation (kinetic theory) 87—89
Moment, equations, multipole 104—105
Momentum dynamical and kinematical 249
Motion of spinning multipoles in gravitational fields 101—106
Naked singularity 178—179
Neutrino viscosity 233—235
Neutrinos in cosmology 225
Neutron stars 162—166
Newton's second law 5—6
Newtonian connection 8
Newtonian frames 7
Newtonian group 8
Newtonian spacetime 3—12
Nonrotating axes 47
Nordvedt effect 141
Normal co-ordinates 44—45
Normal neighborhood 322
Normal solutions of Boltzmann's equation 86—87
Null cones 12
Null cones, geodesics see "Geodesics"
Occupation functional 64
Onsager reciprocity 89
Opacity 77
Optical depth 77 208
Optical observations in cosmology 68—69 207—213
Orbit or symmetry group 114—115 231—233
Orientability 38
Parallel propagation 311
Parametrized post-Newtonian parameters 133—134
Parametrized theories 238 263 286
Particle see "Test particle"
Particle, 4-current density 69 82 200
Path, space 5
Path, structure 29
Penrose energy-extraction process 192—193
Perihelion precession 10 138—141
Perturbation methods, Boltzmann equation 85—89
Perturbation methods, cosmology 227—230
Perturbation methods, Einstein field equations 106—114 143—146
Perturbation methods, spherical collapse 179
Phase space 56
Photon, Distribution function 69 207 219
Photon, scattering 222
Photon, transport equation 77 208
Physical constants, conversion factors 164 197
Physical constants, variability of 130
Planck distribution 69 82 219
Plane wave, electromagnetic 99
Plane wave, gravitational 110 145
Poincare group 14
Poisson brackets between constraints 250 258 286
Poisson's equation 12
Polarization of electromagnetic waves 99
Polarization of gravitational waves 145
Post Newtonian corrections 112—114 133—134
Potential, barrier in Schwarzschild metric 183—185
Potential, gravitational 7 156—158
Precession of perihelion 10 138—141
Primordial chaos 231
Primordial helium 197 226
Projective structure 29—31
Propagators (bi-tensors) 102—104 109
Pullback 299
Pulsations, stellar 162—166
Quantization of gravity, methods 238 284—285
Quantum effects at spacetime singularity 223 285
| Radar, coordinate system 24—25
Radar, time-delay experiment 137—138 141
Radiation, gravitational 142—150 191
Radiation, intensity, specific 68 207
Radiation, reaction force, gravitational 106
Recombination radiation (cosmology) 226
Redshift between source and observer 68 101 209 217
Redshift from relativistic star, upper limit 159
Redshift vs angular diameter 219
Redshift, collapsing star 171
Redshift, measurements, terrestrial 17—18 130—131
Ricci commutation relations 46 315
Riemann curvature tensor 9 35 315—318
Riemann curvature tensor, measurement 50—54
Rigid bodies 34
Rigid motion 90
Robertson — Walker spacetimes 69 213—214
Saha equation 82
Scalar field, evolution in gravitational collapse 179—185
Scalar field, parametrized theory 249 263
Scalar-tensor theory 131
Scattering off microwave photons 219—220
Scattering, cross-section 75
Scattering, of photons 207—209 222—223
Schroedinger equation for parametrized scalar field 264
Schwarzschild spacetime 117—119 167—168
Shear rate 90 206 212
Shift function 248 262
Sidereal anisotropy (gravitational wave observations) 149
Simultaneity, relativity of 15
Singularity, big bang 220 230—231
Singularity, g-structure 220
Singularity, naked 178—179
Singularity, removal by quantization 285
Singularity, Schwarzschild spacetime 167
Singularity, spherical collapse 177
Solar oblateness 139—140
Solar system experiments 132—142
Sound velocity 89 156
Spacetime, Newtonian 3—12
Spacetime, pseudoriemannian 16—22
Spacetime, structure of special relativity 12—16
Spectral density 68 207
Speed of thermal disturbances 89
Spherical collapse 166—178
Spherical spherically symmetric spacetimes 114—119
Spherical stellar structure 119—122 156—159
Spin 2 self-coupled field theory of gravitation 42 110
Spinning test bodies in gravitational fields 101—106
Spinor structure 39
Spontaneous emission 208
Stability, analysis (stellar structure) 163—166
Stability, microscopic (equation of state) 156
Stars, collapsing 166—185
Stars, endstate of evolution 159—163
Stars, pulsations 164
Stars, solid 98
Stars, spherical 119—122 156—159
Stars, stability analysis 163—166
Stars, white dwarf 166
Stars, zero temperature (mass radius relation) 162
Stars, zero temperature (maximum mass theorem) 158
Stationary null surface 186
Stationary spacetime, thermal equilibrium in 84
Stimulated emission 74 208
Stokes' theorem 59—60
Strain tensor 92 138
Stress strain relation 95
Structure, constants of infinite dimensional group 255
Structure, equations (Cartan) 316—317
Structure, stellar 119—122 156—159
Super-Hamiltonian 244—248 258—263
Supermetric 261
Supermomentum 248 258
Superspace 259 287
Surface brightness 209
Swiss cheese cosmological model 230
Symplectic structure 57
Tangent vectors 290—292
Temperature in relativistic thermal equilibrium 83—84 98 203
Tensor algebra 294
Tensor field 295
Test particles 23—24
Test particles in Newtonian theory 11
Test particles, geodesic law 106
Test particles, spinning 104—105
Thermal equilibrium 82—84 98 203 223
Thermodynamics 89—101
Thermodynamics, first law 155
Tidal field of gravity 10 21
Tidal friction (black holes) 193—194
Tilting term 255
Time, absolute 3 13
Time, delay experiment 137—138 141
Time, dilation 15
Time, extrinsic 279
Tolman temperature law 84 98
Torsion tensor 37 315
Transition probability 74
Transport coefficients 87—89
Trapped surface 172 177
Unitarity of scattering operator 75
Variability of physical constants 130
Vector field 58 295
Visco-elastic material 94—98
viscosity 87—89
Viscosity, neutrino 233—235
Volume element, Riemannian 62
Von Zeipel's theorem 139
Vorticity, modes (cosmology) 229
Vorticity, tensor 89 206
Wave modes gravitational (cosmology) 229
Waves, cylindrical 275—283
Waves, gravitational 143—150
Waves, plane 113
Weak field equations 109—110 143—144
Weber experiment 146—150
Wedge product 59—297
Weyl conformal tensor 206
Weyl connection 32 35
Wheeler DeWitt equation 269 288
White dwarf stars 166
Yang — Mills field 240 285
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