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Zakharov V.D. — Gravitational waves in Einstein's theory
Zakharov V.D. — Gravitational waves in Einstein's theory



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Название: Gravitational waves in Einstein's theory

Автор: Zakharov V.D.

Аннотация:

In physics, gravitational waves are ripples in the curvature of spacetime which propagate as a wave, travelling outward from the source. Predicted to exist by Albert Einstein in 1916 on the basis of his theory of general relativity, gravitational waves theoretically transport energy as gravitational radiation. Sources of detectable gravitational waves could possibly include binary star systems composed of white dwarfs, neutron stars, or black holes. The existence of gravitational waves is possibly a consequence of the Lorentz invariance of general relativity since it brings the concept of a limiting speed of propagation of the physical interactions with it. Gravitational waves cannot exist in the Newtonian theory of gravitation, in which physical interactions propagate at infinite speed.
Although gravitational radiation has not been directly detected, there is indirect evidence for its existence. For example, the 1993 Nobel Prize in Physics was awarded for measurements of the Hulse-Taylor binary system which suggests gravitational waves are more than mathematical anomalies. Various gravitational wave detectors exist. However, they remain unsuccessful in detecting such phenomena.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1973

Количество страниц: 201

Добавлена в каталог: 22.03.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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-$2^{4}$-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
H$\acute{E}$LY.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
LUKA$\check{C}$EVl$\check{C}$, I.      xvii
M${\O}$LLER.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, G$\ddot{o}$del      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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