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Held A. (ed.) — General relativity and gravitation. 100 years after the birth of Albert Einstein (volume 2)
Held A. (ed.) — General relativity and gravitation. 100 years after the birth of Albert Einstein (volume 2)

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Название: General relativity and gravitation. 100 years after the birth of Albert Einstein (volume 2)

Автор: Held A. (ed.)

Язык: en

Рубрика: Физика/Гравитационное взаимодействие/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1980

Количество страниц: 540

Добавлена в каталог: 12.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Einstein — Yang — Mills equations in spin coefficient formalism      27—28
Energy      see also "Stress-energy tensor"
Energy condition and Higgs mechanism      149
Energy condition and microwave background      148
Energy condition on the stress-energy tensor      133
Energy condition, strong      148
Energy condition, strong, on the average      149
Energy, Bondi      17 76
Energy, extraction from ergoregion      144
Energy, Newman — Unti      76
Energy, radiation of in collapse      382 385—388
Energy-momentum tensor      see "Stress-energy tensor"
Energy-momentum, heavenly      84
Energy-momentum, Ludvigsen conservation of      84
Enthalpy function, relativistic      368
Entropy and thermal equilibrium      509
Entropy in paraelectromagnetic dipole gas      519
Entropy, change in a virtual displacement      509
Entropy, density      504
Entropy, flux      494 497 498 514
Entropy, per baryon      341
Entropy, production      505—506
Entropy, singularity and increase of      142
Equation of state      361 364
Equation of state and weak cosmic censorship      177—181
Equation of state at equilibrium      499
Equilibrium      515—516
Equilibrium, equation of state      499
Equilibrium, function      515
Equilibrium, thermal, characterized      509—510
Ergoregion (sphere)      85 86 384
Ergoregion (sphere) and extraction of energy      144
Ergoregion (sphere) in Kerr metric      91 143 380
Ernst potential      259
Ether      see "Universal rest frame"
Euler equation      87 92
Euler equation, relativistic form      366
Event horizon      see "Horizon"
Extendibility of a space-time      155—156
Extendibility of a space-time, local      159
Exterior derivative, covariant      245
Exterior derivative, covariant, on bundle of orthonormal frames      248
Fourier's law      493 494
Fourier's law, relativistic      495
Friedmann model      101 149 330 335 336 371 427
Friedmann model and trapped surface      182—185
Friedmann model, singularity in      104
Future distinguishing conditions      119
G orbits      248—249
G structure      244 247
G structure, invariants of      250
g-boundary (geodesic)      140 152
g-boundary (geodesic) of $J^{+}(S)$      121
Galaxies, "seeding" of, by black holes      355
Galaxies, distribution of      342—345
Galaxies, radio      331
Galaxies, red shifts of      347
Galaxies, superclusters      345
Gauss equation, null analog      265
Gauss — Bonnet formula      128
Geodesic and shear-free congruence      21 217 227 228
Geodesic boundary      see "Boundary"
Geodesic completeness      139
Geodesic curvature      264
Geodesic deviation and mass of an isolated system      55
Geodesic deviation, equation of      115
Geodesic deviation, modified      436—437
Geroch version of ADM      62
GHP (Geroch — Held — Penrose) formalism      213
Gibb's relation      495 499
Gibb's relation, covariant      501 516
Global hyperbolicity      121
Global hyperbolicity, stability of      175
Goldberg — Kerr gauge invariant radiation calculation      84
Goldberg — Sachs theorem      21 228
Goldberg — Sachs theorem, complex      249 265 267
Good cut equation      22 242 325
grand canonical ensemble      509
Grassman manifold, complex      222 230
Grassman representation of lines in $\mathbb{CP}^{3}$      287
Gravitation, alternative theories of      488
Gravitational antenna and Brownian motion      404
Gravitational antenna and thermal vibration      405
Gravitational antenna of elastic solid      441—442
Gravitational antenna of free mass      442—443
Gravitational antenna, damping time of      439
Gravitational antenna, directivity pattern      446—447
Gravitational antenna, effective temperature of      451
Gravitational antenna, instrumentation of      443 446
Gravitational antenna, instrumentation of, with piezoelectric crystal      444
Gravitational antenna, laser interferometer      443
Gravitational antenna, low temperature      461
Gravitational antenna, mass quadrupole      437—441
Gravitational antenna, radiation resistance      439
Gravitational antenna, sensitivity of      447—448
Gravitational binding energy      470
Gravitational collapse and the formation of black holes      360—365 see
Gravitational constant, time variation of      483—485
Gravitational instability      345—347
Gravitational waves and polarization      398 417
Gravitational waves, absorption cross section      439
Gravitational waves, characteristic value, of amplitude      397
Gravitational waves, detection of      402—416
Gravitational waves, detection of, electromagnetically      409—413
Gravitational waves, detection of, with mechanical oscillator      403—406
Gravitational waves, detection of, with rotating two-body system      413—416
Gravitational waves, dispersion of      418 419 422 424 425 426 429
Gravitational waves, diurnal effects      454
Gravitational waves, identification of      455—460
Gravitational waves, interactions of      393—430
Gravitational waves, interactions of, with background curvature      427
Gravitational waves, interactions of, with coupled masses      436—441
Gravitational waves, interactions of, with electromagnetic waves      417—419
Gravitational waves, interactions of, with matter      419—427 441—442
Gravitational waves, metric for weak      396
Gravitational waves, phase velocity of      424 427 499
Gravitational waves, plane      435
Gravitational waves, power flux      438
Gravitational waves, tail of      429
gyromagnetic ratio      217 218
Gyroscope experiment      486—487
Half (conformally) flat space-times      234 235 310 311—320 see "Right
Hawking effect      144 169 348
Hawking effect and the second law of thermodynamics      147
Hawking effect and weak cosmic censorship      176
Heat, flux, conditions for absence of      500 501
Heat, inertia of      500
Heat, speed of      493 522—523
Heavenly angular momentum      83
Heavenly energy-momentum      84
Heavenly equation, first      251
Heavenly equation, second      252
Heavenly equation, second, and Yang-Mills field      279
Hermitian form of Riemannian metric      224
Hermitian inner product      225
Hermitian manifold      225 235
Hermitian manifold, Ricci tensor for      227
Hermitian pseudospace      242
Hermitian spinor      285
Higgs field and the energy condition      149
Higgs field at $i^{0}$      68
Holomorphic coordinate transformation      221 222
Holomorphic deformation of twistor space      234
Holomorphic functions      221
Holomorphic functions and $\mathscr{H}$ spaces      227—237
Holomorphic Riemannian metric      225 231
Holonomy group      257 266 267
Holonomy group, reduced      274
Homothetic Killing vector      258
Horizon, apparent      146
Horizon, Cauchy      122 135 138 151 162
Horizon, Cauchy, stability of      167—176
Horizon, causality      123
Horizon, event      110 122 143 146 376 378
Horizon, event, and asymptotically flat stationary space-times      143
Horizon, event, and trapped surface      132 145
Horizon, event, destruction of, in Kerr — Newman metric      188
Horizon, event, generators of      145
Horizon, Killing      143
Horizon, Killing, bifurcation of      144
Horizon, particle      110 122
Horizon, particle, and background microwave radiation      142
Horizon, particle, and Bianchi cosmologies      142
Horizon, Schwarzschild      132 364 369
Hubble constant      331 324 336
Hubble relation      103 330
Hubble shift      104
Hubble sphere      340 350
Hubble time      429
Hydrogen, intergalactic      347—348
Hyperheavenly equation, expanding      271
Hyperheavenly equation, nonexpanding      268
Hyperheavenly spaces      263—279
Hyperheavenly spaces with two sets of null strings      274
Hyperheavenly spaces, electrovac      278
Hyperheavenly spaces, explicit solutions for      275—279
Hyperheavenly spaces, symmetries in      277
i      286 287
IF (irreducible future set)      155
Impulsive gravitational waves      310
Inertial material density      503
Initial data set, boosting of      38
Initial singularity      103 109 163
Instability of Cauchy horizon in anti-de Sitter space      152 171—172
Instability of Cauchy horizon in Taub — NUT space      152
IP (irreducible past set)      154
Isentropic changes of energy      504
Isentropic expansion, work done in      503
Isentropic flows      501 502
Israel — Carter — Robinson theorem      144 179 378
Kaehlerian form      226
Kaehlerian geometry and Maxwell field      236
Kaehlerian manifold      226 231 235
Kaehlerian metric      325
Kaehlerian scalar      226 325
Kaehlerian scalar, complex      235
Kaluza — Klein theory      108
Kerr congruence      230 231
Kerr factor      384
Kerr metric      21 66 80 128 214 218 220 359 378
Kerr metric and asymptotic predictability      145
Kerr metric and Cauchy surface      120
Kerr metric and causality violation      123
Kerr metric and domain of dependence      120
Kerr metric and fluid interior      89
Kerr metric and stability      179
Kerr metric, angular momentum of      74
Kerr metric, black hole      146 379—380
Kerr metric, energy of      74
Kerr metric, ergo region of      91 143 380
Kerr metric, matching of internal solution to external      88
Kerr theorem      218 229 230 305 310
Kerr theorem, hypersurface version      321
Kerr — Newman metric      151 152 359 378
Kerr — Newman metric and destruction of event horizon      188
Kerr — Newman metric and stability of Cauchy horizon      188
Kerr — Newman metric in tetrad form      215
Killing equation in spinorial form      258
Killing equation, conformal      258
Killing equation, conformal, on $\mathscr{J}^{+}$      17 18
Killing equation, master      262
Killing field, asymptotic      52
Killing field, timelike, and dipole angular momentum      61
Killing horizon      see "Horizon"
Killing scalars      86 89 90
Killing spinor      259 261
Killing vector and axisymmetry      85
Killing vector and stationarity      85
Killing vector, commutation of      85
Killing vector, homothetic      258
Kinetic theory and derivation of transport equation      519—522
Kinetic theory, covariant      511—523
Kinnersley group      259
Klein representation of lines in $\mathbb{CP}^{3}$      287
Kodaira theorem      313
Komar conservation laws      73
Komar integral      59 61 66 73 74 80
Komar integral in axisymmetric space-times      86
Komar integral, modified for $\mathscr{J}^{+}$      75—77
Lagrange's identity      309
Landau damping of electromagnetic waves in a plasma      424 429
Laser interferometer as gravitational wave antenna      443
Left (conformally) flat space      23 312 314
Lens-Thirring effect      see "Dragging of inertial frames"
Lie group as symmetry group of space-time      125
Lie system of partial differential equations      262
Lienard-Wichart solutions, generalized      220
Light deflection by gravitational field      474—477
Limit of stress-energy tensor      54
Limit of tensor field      44
Limit, directional dependent      43
Limit, regular      44
Lindblom theorem      80
Liouville equation, relativistic and linearized      422
Liouville theorem      514 517
Liouville theorem for paraelectromagnetic dipole gas      518
Lorentz group      19 62
Lorentz group on Spi      53 59
Lorentz slice of a complex space-time      312
Ludvigsen's heavenly energy conservation      84
Mach's principle      71
Magnetic dipole in $\mathscr{H}$ space      234
Magnetic-type gravitational force      92 93
Mass      see also "Stress-energy tensor"
Mass in axisymmetric stationary space-times      86
Mass quadrupole gravitational antenna      437—441
Mass, aspect at $i^{0}$      59
Mass, Bondi      15 76
Mass, quadrupole as gravitational antenna      437—441
Mass, radiated away      15
Mass, ratio of inertial to gravitational      470
Massless free field and twistors      296—297
Massless free-field equation      298
Massless free-field equation on half flat background      318
Massless free-field equation, generation of solutions      301
Massless free-field equation, left-handed potential for      320
Massless free-field equation, related to twistor equation      299—300
Massless particle and twistors      296—297
Matching of stationary interior solutions to stationary exterior      88
Maxwell field as example at $i^{0}$      42
Maxwell field, polarization of      396
Maxwell field, stress-energy tensor in spin coefficient formalism      27
Maxwell — Lorentz equations      496
Maxwell's equations and Kaehlerian geometry      236
Maxwell's equations in spin coefficient formalism      320
Maxwell's equations, algebraically null solutions      227
Maxwell's equations, generation of solutions      320
Mechanical oscillator as gravitational wave detector      403—406
Mechanical oscillator, quantum theory of      406—409
Medium, deformation and torsion of      497
Medium, entropy flux in      497
Medium, equilibrium of      497—501
Medium, lattice points of      497
Medium, thermodynamics of a polarized      495—508
Metric equations of the spin coefficient formalism      24—25
Metrics, space-times, and cosmologies      see also "Algebraically special space-times" "Cosmologies" "Kerr" "Reissner "Schwarzschild" "Taub
Metrics, space-times, and cosmologies, B1      209
Metrics, space-times, and cosmologies, Brill — Cohen      90
Metrics, space-times, and cosmologies, charged C      128
Metrics, space-times, and cosmologies, Goedel      89 111 112
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