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| Ehlers J. (ed.) — Relativity theory and astrophysics. Relativity and cosmology |
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| Предметный указатель |
Absolute derivative 24
action 43
Advance of perihelion of orbit of inner planet 107
Algebraically, general 97 102
Algebraically, metrics 160
Algebraically, special 97 102
Asymptotic flatness 152
Asymptotically flat space-times 148
Atlas 62
Atomic hydrogen in intergalactic, medium, neutral 207
Back-scattering of gravitational waves 149
Bending of light 92
Bianchi identity 25
Bicharacteristics 67
Birkhoff, see ergodic theorems, bivectors 96
Cartan frames 201
Cauchy problem 61 68
Center mass 17
Center of mass, characteristic (s) 67
Center of mass, hypersurfaces 66
Center of mass, local 18
Center of mass, relativistic 18
Charge 26
Christoffel symbol 24
Classical tests 84
Clustering, amplitude 247
Clustering, scale 247
Co-moving 185
Coefficients of connection 46
Collapse with pressure-gradient 198
Collapse, zero-pressure 196
Collision laws 26
Condensation (s) 268 269 271
Conformal, technique 150
Conformal, tensor 101 154
Conformal, transformation 150
Conservation of charge 13
Conservation of mass 173
Conservation of momentum 177
Conservation, laws 48 50
Conserved quantities 148
Constraint equations 70
Continuum mechanics 15
Coordinate, invariance 106
Coordinate, patch 162
coordinates 187
Coordinates, stationary in 189
Cosmic evolution 256
Cosmogony 251
Cosmological, constant 43
Cosmological, principle 265 266
Cosmology 237
Cosmology, relativistic 229
Covariant derivative 24
Cross section 145
Cross section, absorption 144
Cross section, curvature 242
Cross section, radius of 242
Cross section, tensor 141
Debever — Penrose directions 102
Density, discontinuity 183
Density, fluctuation, mean square fractional 252
Density, scalar rest mass 172
DeSitter (see Einstein)
Differentiable manifold 62
Differential forms 165
Directions, principal null 97 102
Distribution function (s) 170 258
Dual 12 24
Duality rotation 97
Dust 16 232
Eddington 143
Einstein 142 143
Einstein tensor 25
Einstein three tests 107
Einstein universe, static 271
Einstein — deSitter cycloidal model 267 269
Einstein — deSitter hyperbolic model 267
Elastic solid, normal modes of 144
Electromagnetic potentials 13 26
Electromagnetism 12
Electromagnetism, Maxwell’s equations 26
Energy, binding 196
Entropy, irreversible generation of 256
Entropy, S, specific
equation 246
Equation-momentum tensor 232
Equivalence, principle of 20
Ergodic, property 257
Ergodic, theorems of Birkhoff and Khinchin 239
Ergodicity 246
Eulerian, coordinate system 187
Eulerian, velocities 185
Expansion parameter a (t) 274
Fermi coordinates of first kind 22
Fermi coordinates, derivative 53
Fermi coordinates, geodesic 23 55
Fermi coordinates, geodesic of second kind 54
Fermi coordinates, propagation 53
Field equations, gravitational 37
Field equations, weak 200
Fluctuations 241
Fluids, perfect 175
Free particle 26
Friedman 239
Friedman, equation 225
Friedman, models 224 228
Fundamental form, first 72
Fundamental form, second 73
Galaxies 264 272
Galaxies, formation of 264 269 273
Galaxy, cluster 238
Galaxy, formation 271 272
Gauge transformations 135
Gaussian normal coordinates 71
Gauss’ divergence theorem 157
Geodesic, affine parameter 24
Geodesic, coordinates 21
Geodesic, deviation 40 41
Geodesic, Fermi coordinates 23 55
Geodesic, variational principle 25
Gravitation constant 143
Gravitational 211
Gravitational, collapse 194
Gravitational, deflection of star light 107
Gravitational, field equations 37
Gravitational, gravitons 142
Gravitational, plane waves 130
Gravitational, rotation 141 148
Gravitational, wave antenna 144
Gravitational, wave detector 145
Green’s Theorem 13
Gyroscope 105
Gyroscope, precession 108
harmonic oscillator 144
Heat flow-vector 174
Hertz type experiments 143 146
Hierarchy of self-gravitating systems 238
Hugoniot (see Rankine)
Hydrostatic pressure 174
Hypersurface(s), null 65 149
Inertial, dragging of 200
| Inertial, frames 200
Inertial, system 221
information 256 257
Initial, interplanetary plasma 126
Initial, stages of expansion 253
Initial, value equation 201
Isolated system 14 17
Jeans’ formula 263 264 269
Jump conditions 61
Junction conditions 63
Khinchin (see Ergodic theorems)
Killing vector field 48
Killing’s equation 48
Kruskal extension 81
Lagrange coordinates 185 187
Lagrangian 43 185
Laws, local 219
Lemaitre model 271 272
Levi — Civita symbol 10
Lie, derivative 47
Lie, differential 47
Lie, limiting fluid 178
Lorentz, equations of motion 26
Lorentz, force 13
Lorentz, metric 142
Lorentz, transformations 1 4
Lyman a line 207
Mach 245
Mach’s principle 201
Macroscopic 257
Magnitude of condensation 268
Manifolds 161
Mass 148
Mass-current effect 110
Material stress energy tensor 15 27
Matter, incoherent 16
Maxwell stress energy tensor 16 26
Metric (s) analytic continuation for 161
Metric (s) tensor 106
Microscopic 257
Microscopic, information 260
Minkowski space-time 1
Momentum 148
Momentum, angular 17
Momentum, conservation of 177
Momentum, density 17
Momentum, world 11 17 26
Motion, equations of 51
Neutron star 211
Newman-Penrose gravitational, invariants 148
News function 159
Newtonian, approximation 38
Newtonian, cone 2
Newtonian, cosmological models 263
Newtonian, null 97
Newtonian, world models 264 265 266 268 269 272
NUT space (see Taub)
Orthonormal tetrad 22
Parallel propagation 24
Particle, pole-dipole 56
Particle, simple pole 56
Particle, test 55
Partition 98 102
Penrose (see Debever Newman)
Petrov — Pirani classification 94 102
Photon 26
Piezoelectric, crystals 145
Piezoelectric, effect 146
Planetary radar reflection 112
Polarization 133
Precession, geodetic 110
Precession, Thomas 109
Primordial fireball 274
Quadrupole moments, rotational 138
Quadrupole moments, vibrational 138
Quasi-stationarity 250
Quasi-stationary isolated systems of gravitating particles 250
Quasi-stellar radio sources 203 204
Radar, astronomy 117
Radar, performance 117
Radiation, background 278
Random process, stationary 250
Range — Doppler mapping 119
Rankine — Hugoniot equations 178
Red shift 85 204 211
Red shift, acceleration 34
Red shift, cosmological 274
Red shift, gravitational 30 107
Red shift, magnitude relation 207
Red shift, second order 110
Relaxation time 145
Rest specific, enthalpy 175
Rest specific, internal energy 174
Ricci tensor, curvature invariant 25
Riemann, normal coordinate system 144
Riemannian space 21
Rotating mass shell 201
Schwarzschild, metric, isotropic 201
Shock wave(s) 183
Singularity 163
Slip-stream discontinuity 183
Solution 73
Space, affine 46
Sphere 78
Spin, tensor 59
Spin, two field 59
Spin, Vector 59
Spinor(s) 6 94
Spinor(s) curvature 100
Spinor(s) two-component 155
static 73
Steady-state, cosmology 269 272 279
Stress tensor 174
Stress tensor, equation of state for 240
Stress tensor, substratum 239
Taub — NUT space 161
Temperature 176
Tensor, discontinuity of vacuum 65
Tensor, measurement of 143
Tetrad components 95
Thermodynamics, second law of 256
Time of relaxation 250
Time, delay 125
Time, dilatation acceleration 34
Time, gravitational 30
Time, proper 3
total 14
Total stress energy tensor 16
Turbulence 272
Twin effect 3
Ultraviolet excess 205
Uncertainty 257
Uniformity, principle of 238
Universe, observable 238
Universe, radius of the observable 242
Variational Principle 43
Vector 11
Vorticity vector 191
Wave, fronts 136
Weyl tensor (conformal curvature tensor) 25
World, force 11 26
World, line 2
World, velocity 10
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