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Zakharov V.D. — Gravitational waves in Einstein's theory |
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Предметный указатель |
Geodesic deviation , dilation 114
Geodesic deviation , equation of 145 150
Geodesic deviation , rotation 114
Geodesic deviation , shear 108 114
GERTSENSHTEIN, M.E. xix
Godel metric 128
GODEL.K. 128
Goldberg - Sachs theorem 108
GOLDBERG,J.N. xviii 6 85 105 108 110 113
Gravitational analog 33
Gravitational bremsstrahlung 12 141 142
Gravitational constant, Einstein's xix 1 6 7
Gravitational field(s) xvii xviii 12 34 96
Gravitational field(s), algebraic classification of 31 34 35 38
Gravitational field(s), algebraically general 108
Gravitational field(s), algebraically special 81 108 111
Gravitational field(s), analogy with electromagnetic fields 34 76 89 113
Gravitational field(s), asymptotic behavior of 85 113
Gravitational field(s), axially symmetric 108
Gravitational field(s), axially symmetric, nonstationary 108
Gravitational field(s), chronometric invariant see Chronometric invariance; Chronometric invariants
Gravitational field(s), degenerate types 53
Gravitational field(s), Einstein - Maxwell 113
Gravitational field(s), energy density of 50
Gravitational field(s), energy of 50
Gravitational field(s), equations of, in the Riemannian spacetime 78
Gravitational field(s), flat 16
Gravitational field(s), gravitational waves described by 52
Gravitational field(s), in empty space 49 76
Gravitational field(s), isotropic 44 52 53 75 77
Gravitational field(s), isotropic, analogous with isotropic electromagnetic fields 76
Gravitational field(s), isotropic, definition of 44 76
Gravitational field(s), momentum of 50
Gravitational field(s), of isolated axially symmetric system 101
Gravitational field(s), of isolated sources (algebraic interpretation) 109
Gravitational field(s), of plane waves 114
Gravitational field(s), Petrov-type 53
Gravitational field(s), purely wavelike 59 60 61
Gravitational field(s), Schwarzschild 6
Gravitational field(s), superenergy flux density of 50
Gravitational field(s), tracking of 44
Gravitational field(s), types of 36
Gravitational field(s), types of, degenerate 53
Gravitational field(s), weak 1 12 14 15
Gravitational field(s), Wyman - Trollope 45
Gravitational momentum 139
Gravitational optics (geometric) 78
Gravitational radiation, xviii xix xx 8 10 11 16 17 58
Gravitational radiation, "high frequency" 12
Gravitational radiation, astrophysical aspect of xx
Gravitational radiation, criterion 101
Gravitational radiation, emergent from a system 102
Gravitational radiation, field(s) of 32
Gravitational radiation, field(s) of, asymptotic behavior 106
Gravitational radiation, field(s) of, asymptotic properties 97 ff
Gravitational radiation, from cosmic sources xx 141
Gravitational radiation, high-frequency limit 15
Gravitational radiation, incident upon a system 102
Gravitational radiation, monopole--pole 11
Gravitational radiation, of arbitrary isolated systems 105 113
Gravitational radiation, of elementary particles xix
Gravitational radiation, quadrupole-quadrupole 11
Gravitational radiation, total 59 72 77 95
Gravitational radiation, total, of integrable type 73
Gravitational radiation, total, of special type 72 73
Gravitational rays 30 78 81 90
Gravitational shadow 79 80 84 108
Gravitational wave(s) (see also Waves gravitational)
Gravitational wave(s), "body gravitational waves" 122
Gravitational wave(s), "high-frequency" 12
Gravitational wave(s), "high-frequency", limit 15
Gravitational wave(s), "zone" 16
Gravitational wave(s), and physical experiment 136 ff
Gravitational wave(s), criteria for existence of see Criteria criterion
Gravitational wave(s), definition of see Definition of gravitational waves
Gravitational wave(s), detection of xvii xix
Gravitational wave(s), detection of, experimental 135 136
Gravitational wave(s), energy transport by 50
Gravitational wave(s), fields 34 (see also Gravitational fields)
Gravitational wave(s), fields, conformal representation 60
Gravitational wave(s), fields, free 45
Gravitational wave(s), free 17 42 44 51 53 54
Gravitational wave(s), front 29 42 61 78 85 96
Gravitational wave(s), gravitational-inertial see Gravitational-inertial waves
Gravitational wave(s), in empty space 42 59
Gravitational wave(s), in empty space, generally covariant geometric definition 42
Gravitational wave(s), in terms of the Riemann tensor 74
Gravitational wave(s), investigation of, by approximation methods 1 ff
Gravitational wave(s), investigation of, experimental xix
Gravitational wave(s), monochromatic 86 87 88
Gravitational wave(s), monochromatic, plane 89
Gravitational wave(s), of the integrable type 71 72
Gravitational wave(s), of the integrable type, free 72
Gravitational wave(s), plane xviii 79 83 84 85 87 90 108
Gravitational wave(s), plane-front 85
Gravitational wave(s), plane-polarized 86
Gravitational wave(s), possible sources of 138
Gravitational wave(s), propagation of 78 ff
Gravitational wave(s), propagation of, trajectories 78 81 85 90 96 113 146
Gravitational wave(s), radiation see Gravitational radiation
Gravitational wave(s), spherical xviii 79 82 105 108
Gravitational wave(s), stimulating effect on electromagnetic dynamic fields 146
Gravitational wave(s), strong 12
Gravitational wave(s), wave vector of 78 (see also Vectors)
Gravitational-inertial waves 115 116 119 120 125 126 127 132 135
Gravitational-inertial waves, chronometrically invariant 119 124
Gravitational-inertial waves, criterion of 124
Gravitational-inertial waves, definition (chronometrically invariant) of 119
Gravitational-inertial waves, equations for 121
Gravitational-inertial waves, generally covariant 119
Gravitational-inertial waves, physical conditions of existence 125
Greenstein, G. xx 143
GRIGOR'EVA, L.B. 46 125 135
Group, Bondi - Metzner 112 113
Group, Lorentz 112
Group, supertranslations 112
GUALDI, C. xx
Gupta, S. 6
GUTMAN, II. xviii
HLY.J. 71 72 86
Hadamard discontinuity 20 21 22 23 24 25 29 31 42 55 150 151
Hadamard discontinuity, formula of 56
Hadamard,J. 20
HALLIDAY, W.H. xviii
HALPERN, L.E. xix 149
Harmonic coordinates 25
Harrison, B.K. xix
Hartle, J.B. 12 16
Havas, P. 6
Hawking, S.W. xviii
HEINTZMAN, H. xix 146
Hely criterion 71
HENRIK SEN, R.N. xx
HILBERT,D. 3
HOFFMAN, R.B. xix 5 8 12
HUNTER, A.J. 11
Hydrodynamic analogy 80
Hypersurface, characteristic 21 25 26 146 150
Hypersurface, characteristic, three-dimensional 29
Hypersurface, free 21 24 25
ISAACSON, R.A. xviii xix 2 12 15 16
Isotropic geodesics 79 81 84 85 87 90 114 geodesic)
Isotropic geodesics, congruence of 106 107 108 110 114
IVANENKO, D. 62
JANIS,A.J. xviii 103
JOHARI, V.B. xviii xix 86
JOHN.F. 21 24
Jordan - Ehlers solution 108
Jordan, P. 108
K, G.A. xvii 74 150
| KAFKA, P. 20 144
KAIGORODOV,V.R. 45 93 94 95 102
KAMMERER, J.B. 111 112
KAUFMAN, W.J. xx
Kerr - Schild metric 83
Kerr - Schild solution (in empty space-time) 82
KERR.R.P. xviii 82 83 85 113
Killing vector 46 106
KINNERSLEY, W.M. xix 103
Kompaneets metric 121
Kompaneets solution 108
KOMPANEETS,A.S. xviii 108 120 123
KONOPLEVA, N.P. xvii 32 33 60 74 150
KOPVILLEM, U JCh. xix 149
KOZARZEWSKI, B. 113
KRISHNA RAO, J. xix 108
KROKI.K. xix
KRUCHKOVICH, G.I. 68 90 96
KRZYWOBLOCKI, M. xx
Kundt definition of gravitational waves 83 84 87
Kundt definition of gravitational waves, in empty space 84 90 92 96
Kundt metric 84 85
Kundt, W. xviii xix 45 81 83 84 85
KUSHWAHA, R.S. xix
LANCZOS.K. 18
Landau - Lifshits energy pseudotensor 138 141 145
Landau, L.D. 6 24 129 130
LAURENT, B. xix
LAVRENT'EV, G.Ya. xx 149
Le DENMAT, G. xviii
Lehman, E. 110
Leray's theorem 24 25
Leroy, J. xviii xix
Levi - Civita symbol 28
Levine, J. xvii 71 72 73
LIAS.R.I. xix
Lichnerowicz conditions 57 95 96
Lichnerowicz's criterion 55 ff 67 69 72 73 91 95 96 150
Lichnerowicz's theorem 29 30
Lichnerowicz, A. xvii xviii 15 21 22 23 25 27 28 29 33 43 55 56 57 58 59 60 71 72 74 120
Lie group 13 14 15
Lie group, generators of 14 15
Lie group, infinitesimal transformations 15
Lifshits, E.M. 6 24 129 130
Linearized theory of gravitation 16
Lorentz group 112
LUKAEVl, I. xvii
MLLER.C. xviii
MADORE.J. xviii 16
Maldybaeva criterion 73 75
MALDYBAEVA.E.Ya. xvii 73 74
MARDER.L. xviii 108
MARIOT, L. 56 114
MAS, L. 83
Mascon 144
Mass, Bondi 105
Mass, mass-detector (harmonic) 142
Mass, Schwarzschild 10
Mass, secular variation of 8
Mass, Weyl 105
MATTE, A. xix 48 76
MAVRIDES, S. xix
Maxwell stress tensor 27 43 53 55 56 61 81
Maxwell's electrodynamics 78
Maxwell's equations 27 29 30 34 55 74 113 132
MEHRA.A.L. xix
MELOSH, H.J. xx 142
Metagalaxy 138 139 141
Metric, Bondi 101 103 104 105 106 107 109
Metric, Einstein - Rosen 121 124 147
Metric, Gdel 128
Metric, Galilei 88
Metric, Kerr - Schild 83
Metric, Kompaneets 121
Metric, Kundt 84
Metric, Minkowski 1
Metric, of background 12 13 14
Metric, of background, curved space-time 15
Metric, of background, flat 15
Metric, of background, flat space-time 7 12 72
Metric, of background, nonflat 2 15
Metric, Peres 89 92 121
Metric, perturbed 140
Metric, Petrov 92 150
Metric, Robinson- Trautman 46 79 81 82 106
Metric, Sachs 105 107 108
Metric, Schwarzschild 7 8 10 16 82 130
Metric, space-time xvii 7 12 72 127
Metric, stationary 140
Metric, Takeno 92
Metric, Weyl 100 109
METZNER, A. 11 101 112
Minkowski metric 1
Minkowski space-time 84 85 114
MIRONOVSKII,V.N. xix 144 145 146
Misner, C. xviii
Misra - Singh criterion 75 76 77
Misra - Singh theorems 76
MISRA, R.M. xvii xix
MITSKEVICH, N.V. xx 27 33 137
Monopole moment 100 104
Monopole terms 101
Moon 144
Multipole expansion 8
Multipole moments 100 101 104
Multipole oscillations 7
MURENBEELD.M. xix
NAGIBAROV,V.R. xix 149
Neutron stars 12 138 139 140
Neutron stars, binary 139
Newman - Penrose formalism 101 ff 110
NEWMAN,E.T. xviii xix 81 84 101 102 103 105 110
NFELD, L. xviii xix 5 8 12
NIKOLAENKO, V.M. xvii 75
NORDEN.A.P. 53
Nordtvedt - Pagels differential conditions 67 95
Nordtvedt, K. xviii
NOVIKOV, l.D. xx 12 138 139
Operators, d'Alembert (chronometrically invariant definition of; chronometrically invariant spatially covariant) 119
Operators, de Rahm 74 75
Operators, of differentiation (chronometrically invariant) 116
Operators, wave (generalized) 62
Oscillations (multipole) 7
Pagels, H. xix
PANDEY.S.N. xix
PANDYA.J. xviii 92
Papapetrou, A. viii xix 101
PAPINI, G. xx
PARIZET,J. xvii
Peeling 108 113
Peeling theorem 107 109 110 112
Peeling theorem, Sachs 109 110 111 112
Peeling theorem, Sachs, formula 113
Penrose's diagram 37 39 44 53 59 60 66 67 76
PENROSE,R. xviii 37 83 101 102 103 110
Peres metric 89 92 121
Peres, A. xviii xix 45 69 92 95 120
Persides, S. xviii 109
Perturbations (theory of) 147
PESTOV.A.B. 93 95
Peters, P.C. xx
Petrov's algebraic classification, xvii 34 37 39 42 45 46 59 60 65 67 79 107 109 112 120
Petrov's algebraic classification, degenerate second type in 75 90 92
Petrov's fundamental theorem 36
Petrov's metric 92
Petrov's original terminology 37
Petrov, A.Z. xvii xviii xix xx 34 35 36 37 45 63 65 66 79 86 92 93 95 120 122 127
Petrovskii, l.G. 19 21
Pirani's criterion 42 ff 47 51 52
Pirani, F.A.E. xvii xviii xix xx 42 44 80 83 84 85 95 120 122
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