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| Anderson J.L. — Principles of Relativity Physics |
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| Предметный указатель |
1+3 notation 144
Aberration 134
Abraham, M. 284 297 325
Absolute acceleration 122
Absolute motion 122 123
Absolute objects 83 88 339 340
Absolute rotation 466
Absolute simultaneity, planes of 107 155
Absolute space 106 107 121 141 332 460
Absolute space-time 141
Absolute time 106 141
Absolute velocity 126 128 135
Absorber, as source of radiation reaction 240 241
Acceleration 112
Acceleration energy 246
Action Principles see "Variational principles"
Action-at-a-distance, electrodynamics 217 222 240 261 438
Action-at-a-distance, electrodynamics in general relativity 355 438
Action-at-a-distance, electrodynamics in Newtonian mechanics 117 253
Action-at-a-distance, electrodynamics in special relativity 203
Action-at-a-distance, electrodynamics, gravidynamics 254 255 302
Action-at-a-distance, electrodynamics, mesodynamics 290 291
Advanced potential 266
Aether 125 126 130
Aether drag 134
Affine connection 39
Affine connection for internal groups 44
Affine connection, flat see "Affine flatness"
Affine connection, integrability of 51 52
Affine connection, measurement of 119 120
Affine connection, metric see "Metric affinity"
Affine connection, symmetries of 41
Affine connection, translation law for 40
Affine connection, uniqueness of 49
Affine flatness 50 52 53
Affine geodesics 47—49
Affine geometry 39
Affine parameter 48
Affinity see "Affine connection"
Age of universe 446 463
Alexandroff, P. 4
Algebraically special Weyl tensors 66
Amber, E. 78
Analytic extension of Schwarzschild field 388
Anderson, C.D. 213 214
Anderson, J.L. 182 367
Angle between vectors 56
Angular momentum tensor for sources of gravitational field 376
Angular momentum tensor for systems of particles 207 223
Angular momentum tensor of electromagnetic field 275
Angular momentum tensor of gravitational field 425
Anomalous magnetic moment 248 249
Anomalous magnetic moment, measurement of 251
Antisymmetrization of tensors 20
Apparent luminosity 456
Approximate conservation laws 429 430
Area, element of 29
Arnowitt, R. 365 366
Astronomical distance 414 444
Asymptotic Killing vectors 428 429
Averages of microscopic quantities 309
Axial vector 144
B-field 46
Barajas, A. 299
Bargmann, V. 253
Belinfante, F.J. 299
Bending of light 412—414
Bergmann, P.G. 394 425
Berkeley, G. 330
Bertotti, B. 412 418
Bessel, F.W. 334
Bhabha, H.J. 250
Bianchi identities 62 63 96—98 362
Bicharacteristics see "Rays"
Big-bang cosmologies 463
Birkhoff theorem 386
Birkhoff, G.D. 299 386
Blackett, P.M.S. 214
Bland, G.F. 132
Bondi, H. 397 433 434 461
Bonner, W.B. 466
Born — Infeld electrodynamics 286
Born, M. 286 320
boundary conditions 334 339 348 432
Breit, G. 227
Brill, D. 412 418
Brinkmann, H.W. 395
Bucherer, A.H. 199
Canonical momentum 229 235
Cauchy problem see "Initial value problem"
Cauchy — Kowalewski theorem 99 100
Causality 191
Cedarholm, J.P. 132
Center of energy 207 208
Chamberlain, O. 214
Champion, F.C. 211
Characteristic surfaces 70—72 99 434
Charpak, G. 251
Christoffel symbols for a hypersurface 69
Christoffel symbols for a spherically symmetric field 384
Christoffel symbols, first kind 58
Christoffel symbols, second kind 58
Classification of Weyl tensor 65
clocks 138
Clocks in general relativity 415 416
Clocks in Newtonian mechanics 139
Clocks in special relativity 171 172
Clocks, ideal 173
Cocconi, G. 332
Cockcroft, J.D. 213
Coderivative 39
Coderivative for internal groups 44
Coderivative, commutator 43
Comma notation 9
Commutator 10
Comoving coordinates 447
Compass of inertia 409
Complete manifold 388
Completeness of a physical theory 139
Complex scalar field 293
Conformal flatness 63
Conformal tensor see "Weyl tensor"
Conservation laws 93 94
Conservation laws for charges in fields 234—236
Conservation laws for free particle 196 197
Conservation laws for interacting particles 204—207
Conservation laws for systems of charges 222 223s
Conservation laws in general relativity 429
Conservation laws, approximate 429 430
Conservation laws, comparison with Newtonian laws 212 213
Conservation laws, global 429
Conservation laws, relation to symmetry 93
Constitutive equations 323 324
Continuity equations 93
Continuity equations for current 94 258 272
Continuity equations for electromagnetic stress-energy tensor 273
Continuity equations for gravitational stress-energy complex 424
Contraction, operation of 19
Contravector 16 31
Contravector, coderivative of 39
Contravector, infinitesimal transformation of 17
Contravector, norm of 56
Coordinate conditions 96 367 440 442
Coordinate covariance 6
Coordinate covering 5
Coordinate patch 5
coordinates 5 6
Coordinates, relation to space-time measurements 183
Coordinatization 5
Corben, H.C. 250
| Cornish, F.H.J. 433
Cosmological constant 347 348 459
Cosmological numbers 444
Cosmological principle 446
Coulomb gauge 287
Courant, R. 99
Covariance groups 75—80
Covector 17 33
Covector, covariant derivative of 42
Covector, infinitesimal transformation of 17
Cranshaw, T.F. 418
Current four-vector 260
Current four-vector for complex scalar field 294
Current four-vector for Dirac field 297
Current four-vector for systems of point charges 260
Current four-vector, continuity equation for 94 258 272
Curvature scalar 63
Curvature scalar, interpretation of 64
Curvature tensor see "Riemann — Christoffel tensor"
Cyclotron frequency 239
Cylindrically symmetric fields 392
Darwin, C.G. 226
deDonder condition 440
Density of matter in universe 445 446
descriptors 8
Deser, S. 355 365 366
deSitter model 448 459—461
deSitter space, symmetries of 461
deSitter, W. 135 348 444
Determinant 24
Dicke, R.H. 331 408
Dipole moment 375
Dirac delta function 469—471
Dirac derivation of radiation reaction force 278—280
Dirac equation 295 358—360
Dirac equation, variational principle for 297
Dirac field 295 358
Dirac field, interaction with gravitational field 360
Dirac field, transformation of 295—297 358
Dirac, P.A.M. 150 241 243 278 294 363 367
Direct-particle equations of motion 438 see
Distant parallelism 50
Doppler effect 270
Dual vector space 32
Duncombe, R.L. 407(4) 408
Durbin, R. 172
Dust-filled universe 450 451
Dynamical laws 74
Dynamical objects 83 88
Dynamically possible trajectories (abbreviated dpt) 74
Dyson, F.J. 432
Eckart, Carl 321
Eddington analysis 409 413
Eddington, A.S. 303 387 409 465
Ehlers, J. 373 396 397
Einstein addition formulae for velocities 189
Einstein field equations 341 342 344
Einstein field equations, initial value problem for 363—368
Einstein field equations, linearized form of 371
Einstein field equations, structure of 362 363 434
Einstein model 447 458 459
Einstein pseudotensor 423 424 431
Einstein summation convention 8
Einstein tensor 63
Einstein tensor for spherically symmetric field 384
Einstein tensor, linearized form of 371
Einstein, A. 136 213 242 297 315 333 338 341 344 345 347 368 376 391 407 423 432 438 444
Einstein, Infeld, Hoffmann approximation 438 see
Eisenhart, L.P. 452
Elastic scattering 205 208—211
electric dipole moment 249
electric field 228 257
Electric field, motion in 116 237 238
Electric field, uniform 236
Electrodynamics 124
Electrodynamics, action-at-a-distance formulation of 217 222
Electrodynamics, slow-motion approximation to 225—227
Electrodynamics, symmetries of 125 135 136
Electrodynamics, variational principle for 261
electromagnetic field 46 227 257 258
Electromagnetic field of arbitrarily moving charge 220
Electromagnetic field of uniformly moving charge 220 221 264
Electromagnetic field, interaction with gravitational field 355—358
Electromagnetic field, invariants of 263
Electromagnetic field, motion of charges in 227—231
Electromagnetic field, tensor 258
Electromagnetic field, transformation of 262 263
Electromagnetic radiation 430
Electromagnetic stress-energy tensor 273 274
Electron, classical model of 283—286
Eliezer, C.J. 243
Ellis, G.F.R. 467
Emission theories 134
Energy density of electromagnetic field 274
Energy of charges in electromagnetic fields 235
Energy of free particles 195
Energy of particles in gravitational fields 353
Energy, positive definiteness of 299
Energy, relation to mass 199 213
entropy 314
Eoetvoes, R. 334
Equivalence classes of dpt 80 81
Equivalence of inertial mass and gravitational charge 117 118 334 335
Equivalence, principle of 334—337
Equivalent clocks 165 166
Equivalent reference frames 165
Euclidean four-plane 4
Euclidean space 151
Eulerian equation of motion 316
Event horizons 464
Expansion scalar 319
Extrinsic state of a physical system 80
Faithful realization 26
Falling elevator experiment 336
Faraday disc 325
Fast-motion approximation 440
Fekete, E. 334
Fermat’s principle 356
Feynman, R.P. 217 222
Fierz, M. 299
Finkelstein, D. 387
First fundamental form 68
Fitzgerald — Lorentz contraction 133
Fizeap, H. 128 129
Flat affine geometry see "Affine flatness"
Flat metric geometry see "Metric flatness"
Flat-space solution of Einstein equation, uniqueness of 379—381
Fock — Ivanenko coefficients 360
Fock, V. 267 340 360 441
Fokker, A.D. 217 341
Fokker-type equations of motion 203
Force in Newtonian mechanics 111 114 116
Force in special relativity 197 200
Foucault, L. 128
Four-force 198
Four-momentum 196
Four-plane see "Euclidean four-plane"
Four-potential 46 217—219 229 233 259
Foures-Bruhat, Y. 368
Free particle 111 158 159
Free particle, dynamics of 193
Free particle, energy of 195
Free particle, Hamiltonian for 195
Free particle, Lagrangian for 194
Free particle, momentum of 195 196
Fresnel coefficient 189
Fresnel, A.J. 129
Friedmann differential equation 452
Friedmann models 447 462—465
Friedmann, A. 452
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