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Ehlers J. (ed.) — Relativity theory and astrophysics. 1. Relativity and cosmology
Ehlers J. (ed.) — Relativity theory and astrophysics. 1. Relativity and cosmology

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Название: Relativity theory and astrophysics. 1. Relativity and cosmology

Автор: Ehlers J. (ed.)

Аннотация:

This volume is the first of a series of three which contain the Proceedings of the Fourth Summer Seminar on Applied Mathematics, arranged by the American Mathematical Society and held at Cornell University from July 26 to August 20, 1965.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1967

Количество страниц: 305

Добавлена в каталог: 02.11.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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
Bondi — Sachs “news function”      159
Cartan frames      201
Cauchy problem      61 68
Center of mass, local      18
Center of mass, relativistic      18
Characteristic(s)      67
Characteristic(s), hypersurfaces      66
Charge      26
Charge, total      14
Christoffel symbol      24
Classical tests      84
Clustering amplitude      247
Clustering scale      247
Co-moving      185
Co-moving, coordinates      187
Co-moving, coordinates, stationary in      189
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 laws      48 50
Conservation of charge      13
Conservation of mass      173
Conservation of momentum      177
Conserved quantities      148
Constraint equations      70
Continuum mechanics      15
Coordinate invariance      106
Coordinate patch      162
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
Curvature      242
Curvature tensor      141
Curvature, radius of      242
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
energy equation      246
Energy-momentum tensor      232
entropy      257
Entropy, $S$, specific      176
Entropy, irreversible generation of      256
Equation of state for      240
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, geodesic      23 55
Fermi coordinates, of first kind      22
Fermi coordinates, of second kind      54
Fermi derivative      53
Fermi propagation      53
Field equations, gravitational      37
Field equations, weak      200
Fluctuations      241
Fluids, perfect      175
Free particle      26
Friedman      239
Friedmanequation      225
Friedmanmodels      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
Gauss' divergence theorem      157
Gaussian normal coordinates      71
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 plane waves      130
Gravitational rotation      141 148
Gravitational wave antenna      144
Gravitational wave detector      145
Gravitons      142
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 frames      200
Inertial frames, dragging of      200
Inertial system      221
information      256 257
Initial differential      47
Initial stages of expansion      253
Initial value equation      201
Interplanetary plasma      126
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
Limiting fluid      178
Lorentz equations of motion      26
Lorentz force      13
Lorentz Lyman $\alpha$ line      207
Lorentz metric      142
Lorentz transformations      1 4
Mach      245
Mach's principle      201
Macroscopic      257
Magnitude of condensation      268
Manifolds      161
Mass      148
Mass, center      17
Mass-current effect      110
Material stress energy tensor      15 27
Matter, incoherent      16
Maxwell stress energy tensor      16 26
Metric tensor      106
Metric(s), analytic continuation for      161
Microscopic      257
Microscopic information      260
Minkowski space-time      1
Momentum      148
Momentum, angular      17
Momentum, angular, density      17
Momentum, conservation of      177
Momentum, world      11 17 26
Motion, equations of      51
Neutron star      211
Newman — Penrose gravitational invariants      148
News function      159
Newtonian approximation      38
Newtonian cosmological models      263
Newtonian world models      264 265 266 268 269 272
NULL      97
Null cone      2
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 performance      117
Radar, astronomy      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
Riemann tensor, discontinuity of vacuum      65
Riemann tensor, measurement of      143
Riemannian space      21
Rotating mass shell      201
Schwarzschild metric, isotropic      201
Schwarzschild metric, solution      73
Schwarzschild metric, sphere      78
Shock wave(s)      183
Singularity      163
Slip-stream discontinuity      183
Space, affine      46
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
Substratum      239
Taub — NUT space      161
Temperature      176
Tetrad components      95
Thermodynamics, second law of      256
Time delay      125
Time dilatation, acceleration      34
Time dilatation, gravitational      30
Time of relaxation      250
Time, proper      3
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
Vorticity vector      191
Wave fronts      136
Wave vector      11
Weyl tensor (conformal curvature tensor)      25
World force      11 26
World line      2
World velocity      10
“Nonrotating” coordinate systems      245
“Peeling-off” property      157
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