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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
AICHELBURG, P.C.      xvii xix
ALLA DIN, S.M.      xx
Approximation (s), $ps$      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$\check{C}$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$\acute{e}$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$\breve{A}$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), $ps$-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 $ps$-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 $C^{1}$ characteristic      24
Functions, of class $C^{r}$, 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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