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| Zakharov V.D. — Gravitational waves in Einstein's theory |
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| Предметный указатель |
AICHELBURG, P.C. xvii xix
ALLA DIN, S.M. xx
Approximation (s),  7 8 9 11
Approximation (s), convergence of series of 16
Approximation (s), high-frequency 15
Approximation (s), higher-order 5 ff
Approximation (s), linear 1 ff 8 11 101 147
Approximation (s), method(s) 1 ff
Approximation (s), method(s), Bondi's 9 16
Approximation (s), method(s), Bonnor - Rotenberg's 7 11 12
Approximation (s), method(s), Bonnor's 16
Approximation (s), method(s), Brill - Hartle's 12
Approximation (s), method(s), critique of 11 ff
Approximation (s), method(s), double parameter 7 11
Approximation (s), method(s), Einstein - Infeld - Hoffman's 5 8 12
Approximation (s), method(s), Isaacson- Brill - Hartle's 16
Approximation (s), weak-field 1 3 146
Araki, H. xviii
ARFOV, L.Ya. xx
ARNOWITT.R. xviii
Asymptotic properties 113
Asymptotic symmetries 112
Avez definition 86
Avez theorem 87
Avez, A. xviii 86 87
Axially symmetric systems of sources 10 103 104
Axially symmetric systems of sources, isolated 10 11 16 97 101 112
Background metric 12 13 15
Background metric, curvature 13
Background space-time 2
Background space-time, curved 12 13 15
Background space-time, flat 2 9 12 15
Background space-time, nonflat 2 15
Baroclinic medium 129 134
Barotropic medium 129 130 134
BARTRUM.P.C. xix 80 81 82
BASHKOV,V.I. xix 149
Bel's criteria 47 ff 83
Bel's first criterion 51 52
Bel's second criterion 52 53 54 88
Bel's superenergy tensor 47 48 71
Bel, L. xvii 22 38 47 48 49 50 51 52 53 54 59 70 76 120
BERGER, V.K. xix
BERGMANN.P.G. xvii 86
BERMAN,D. xix 138 139
BERS.L. 21 24
Bertotti, B. xix 149 150
BI AK, J. xviii
Bianchi's identities 33 103 112
Bicharacteristics 25 26 27 29 32
Bicharacteristics of Einstein's equations 29 46 65 79 96 146
Binary neutron stars 139
Binary stars 12 138 139 144 148
BOARDMAN.J. xviii 86
BOCCALETTI, D. xx
BONDARENKO, N.P. 123
Bondi - Metzner group 112 113
Bondi - Pirani - Robinson definition 85 86
Bondi - Sachs method 97 106 112 113
Bondi approximation method 9 16
Bondi coordinates 100 102
Bondi coordinates system 106
Bondi criterion 101
Bondi information function 97 ff 109
Bondi mass 105
Bondi metric 101 103 104 105 106 109
Bondi metric, axially symmetric 107
Bondi metric, Weyl- type of wave zone term for 106
Bondi news function 100
Bondi plane waves 147
BONDI,H. xviii xx 9 11 12 16 83 85 95 97 89 100 101 108 112 122
Bonnor, W.B. xviii xix 4 5 6 7 9 11 12 16
BOOTH, D.J. 10
BRAGINSKII.V.B. xix 135 142 143
Bremsstrahlung 12
Bremsstrahlung, gravitational, of-the sun 141 142
Brill, D. xviii 12 16
BUDKO, L.I. xviii
CAHEN.M. xviii
Campbell, W.B. xix 10
CAMPOLATTARO, A. 140
Carmeli, M. xix xx 12 141
Cauchy - Kowalevsky theorem 24
Cauchy - Kowalevsky-type equations 94
Cauchy problem 17 18 21 27 28 29 64
Cauchy problem for Einstein - Maxwell equations 55
Cauchy problem for Einstein equations 32 146
Cauchy problem in empty space 23 24 32
Cauchy problem, statement of 21
Chandrasekhar, S. xx
Characteristic cone 25 27
Characteristic equations 29
Characteristic hypersurfaces 21 25 26 29 146 150
Characteristic manifolds 32 79 96
Characteristics of system of Einstein's equations 18 19
CHAU, W.Y. xx
Chevreton theorem 84 85
CHEVRETON.M. xviii 84 113 114
CHOQUET - BRUHAT,Y. xix
Christoffel symbols, chronometrically invariant analogs of 117
Chronometric invariance 116 117
Chronometric invariance, characteristical for frame of reference 135
Chronometric invariance, scalars of 122
Chronometric invariants 115 ff
Chronometric invariants, density of 126
Chronometric invariants, pressure of 126
Chronometric invariants, stress tensor of 126
Chronometric invariants, three-dimensional covariant differentiation 117
Classification of gravitational fields, algebraic 31 35 38
Classification of gravitational fields, algebraic, Petrov's 34
COBURN,N. xvii
Collapsed stars 12 138 139
COLLINSON, C .D. xviii
Cone, characteristic 25 27
Cone, light 25 27
Conservation laws 101 134
Conservation laws of Bondi mass 105
Conservation laws, relativistic 129
COOPERSTOCK, F.I. xix xx 10 12 138 139 141 147 148
Cosmic sources, gravitational radiation from xx
COUCH, W.E. xviii xix 103
COURANT.R. 19 25 26 27 29
Crab Nebula 142
Criteria, criterion, Bel's 47 ff 83
Criteria, criterion, Bel's, first 51 52
Criteria, criterion, Bel's, second 52 53 54 88
Criteria, criterion, Bondi's 101
Criteria, criterion, Debever's 70
Criteria, criterion, H ly's 71
Criteria, criterion, Lichnerowicz's 55 ff 67 69 72 73 91 95 96 150
Criteria, criterion, Maldybaeva's 73 75
Criteria, criterion, Misra - Singh 75 76 77
Criteria, criterion, of gravitational-inertial waves 124
Criteria, criterion, of gravitational-inertial waves, chronometrically invariant 119 120
Criteria, criterion, Pirani's 42 ff 47 51 52
Criteria, criterion, Zel'manov's 62 ff 73 75 92 96 104 116 117 118 119 123 124 126
Criteria, criterion, Zund - Levine 71
Curvature of background space-time 13 34
Curvature tensor 23 24 32 36 38 44 52 53 57 62 63 65 70 127 137 151
Curvature tensor, "curvature 2-form" tensor 74
Curvature, total 13
D NGVU, H. xix 89
d'Alembert operator 119
Dautcourt, G. xx
de Donder, T. 18
de Rahm operator 74 75
de RAHM.G. 15 74 75
de SABBATA.V. xx 144
de WITT.B. xix
Debever - Sachs approach 41
| Debever - Sachs symbol 40
Debever criterion 70
Debever vector(s) 40 41 53 54 107 110 111
Debever vector(s), field 79 110
Debever vector(s), Petrov type 40
Debever's theorem 39 70 88 90
DEBEVER.R. xvii 37 39 47 48 53 70 71 76 111
Definition of gravitational waves, Avez 86
Definition of gravitational waves, Bondi - Pirani - Robinson 85 86
Definition of gravitational waves, Kundt 83
Definition of gravitational waves, Robinson - Trautman 79
DENISOV,V.I. xviii
Density of chronometric invariants 126
Density, superhigh, medium of 134
DERRY, L. xviii
DESBRANDES, R. xix 149
Deser, S. xviii
Differentiation, three-dimensional covariant 117
DIMANSHTEIN, F.A. xx 147
Dipole moment 100 104
Dipole terms 101
Dirac, P. xix
Discontinuity, coefficients of 22
Discontinuity, Hadamard 20 21 22 23 24 25 29 31 42 55 150 151
Discontinuity, Hadamard, formula of 56
Discontinuity, weak 23 24
DOZMOROV, I.M. xviii xix
Dyson, F.J. xix 144
Eddington, A.S. xix 6 10
EHLERS.J. xvii xviii 80 108
Eikonal equation 24 25 29 64 78 79 88 106 108
Einstein - Maxwell equations 27 ff 55 95 96 113 147
Einstein - Rosen cylindrical waves 147
Einstein - Rosen metric 121 124
Einstein - Rosen solution 108
Einstein('s) equations, xviii xix 1 3 4 6 18 31 32 47 57 64 65 67 84 87 88 91 92 96 120 140
Einstein('s) equations, bicharacteristics of 29 46 65 79 96 146
Einstein('s) equations, Cauchy's problem for 32 146
Einstein('s) equations, characteristic hypersurface of 29
Einstein('s) equations, characteristic manifolds of 79 69
Einstein('s) equations, characteristics of system 18 19
Einstein('s) equations, classification of 38
Einstein('s) equations, in empty space 24 26 45 81 119 120
Einstein('s) general theory of relativity xvii xix 1 18 27 31 32 34 150
Einstein('s) gravitational constant xix 1 6 7
Einstein('s) spaces 35 47 49 60 61 62 63 65 66 75 93 94 125 127
Einstein('s) spaces, types of 37
Einstein('s) special theory of gravitation xvii xix 60 101 140
Einstein('s) tensor (energy-momentum) 57
Einstein, A. xvii xviii 1 5 8 12 108 120 123
EISENHART.L.P. 24 38 68 90 106
Electromagnetic current 33
Electromagnetic field(s) 32 96
Electromagnetic field(s), analogy with energy-momentum tensor 47
Electromagnetic field(s), analogy with gravitational field(s) 34 76 113
Electromagnetic field(s), anisotropic 132 134
Electromagnetic field(s), asymptotic behavior of 113
Electromagnetic field(s), dynamic, stimulation of by gravitational waves 146
Electromagnetic field(s), energy-momentum tensor of 131
Electromagnetic field(s), isotropic 42 56 67 78 95 131 134
Electromagnetic field(s), of plane waves 113
Electromagnetic radiation 85
Electromagnetic radiation,theory of, analogy with Bondi - Sachs approach 106
Electromagnetic rays 30
Electromagnetic vector 50
Electromagnetic waves 27 30
Electromagnetic waves, analogy with gravitational waves 42 47 55 86
Electromagnetic waves, equations of in Riemannian space-time 78
Electromagnetic waves, front of 68 96
Electromagnetic waves, plane 79 84 96
Electromagnetic waves, plane monochromatic 88
Electromagnetic waves, plane monochromatic, analogy with plane monochromatic gravitational waves 89
Electromagnetic waves, spherical 79 82
Electromagnetic waves, trajectories of propagation of 85 113
empty space see Space empty;
Energy-mass loss 138
Equation(s), -approximation 11
Equation(s), Cauchy - Kowalevsky type 94
Equation(s), characteristic 29
Equation(s), eikonal 24 25 29 64 78 79 88 106 108
Equation(s), Einstein see Einstein('s) equations
Equation(s), Einstein - Maxwell 27 ff 55 95 96 113 147
Equation(s), field 7 16
Equation(s), fundamental 98 99
Equation(s), in empty space 18 24
Equation(s), linear xix 16
Equation(s), Maxwell 27 29 30 34 55 74 113 132
Equation(s), Maxwell, bicharacteristics of 96
Equation(s), Maxwell, characteristic manifold of 96
Equation(s), of continuity 48
Equation(s), of geodesic deviation 145 150
Equation(s), of gravitation 25 26 27 29 32 46 65 79 96 146 wave
Equation(s), of gravitation, quasi - Maxwell 33
Equation(s), wave 18 34 121
Equation(s), wave, generalized 74
Equation(s), wave, generally covariant 63 65
Equation(s), wave, inhomogeneous 11
Equation(s), wave, solution of 120
Equation(s), wave, solution of, axially symmetric 104
EZAWA, Z.F. xx 139
Field(s), Bondi - Sachs 112
Field(s), electromagnetic see Electromagnetic field(s)
Field(s), equations 7 16
Field(s), free gravitational wave 45
Field(s), free gravitational wave, in the -approximation 7
Field(s), gravitational see Gravitational field(s); Gravitational wave(s)
Field(s), gravitational radiation 32
Field(s), gravitational radiation, asymptotic behavior of 106
Field(s), gravitational radiation, asymptotical properties of 97 ff
Field(s), gravitational-inertial 116 122
Field(s), gravitational-inertial, scalar and vector potentials of 116
Field(s), isotropic vector 39 54 79
Field(s), Killing vector 106 107
Field(s), null 42 43
Field(s), Schwarzschild 6
Field(s), tensor, electromagnetic 34 74
Field(s), vacuum 14
Field(s), vector 79
Field(s), vector, absolutely parallel 90 95 96
Field(s), vector, absolutely parallel, isotropic 94
Field(s), vector, algebraically general 41
Field(s), vector, algebraically special 41
Field(s), vector, asymptotically geodesic 110
Field(s), vector, bilinear antisymmetric form 56
Field(s), vector, degenerate form 56
Field(s), vector, singular form 56
Field(s), Yang - Mills type 60
Field, G.B. xx 144
FINZI.B. xx 25 29
FOCK (FOK), V.A. xix 5 12 16 18
FORTINI, P. xx
FORWARD, R.L. xix 138 139 142
Foster, J. xviii 81
Fowler model 141
Fowler, W.A. xx 141
FRENCH,D.C. xviii
Friedlander, F.G. xviii
Functions, Bondi information 97 ff 109
Functions, Bondi news 100
Functions, information 100 101 106 112
Functions, Legendre 103
Functions, of class  characteristic 24
Functions, of class  , piecewise, smooth 21
Functions, wave 127
Galilean metric 88
Gauge invariance 3 15
GEHENIAU, J. 53
GEISSLER, D. viii
Generators (Lie group) 14 15
Geodesic deviation 136 137 146
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