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| Àâòîðèçàöèÿ |
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| Ïîèñê ïî óêàçàòåëÿì |
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| Carmeli M. — Classical Fields: General Gravity and Gauge Theory |
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| Ïðåäìåòíûé óêàçàòåëü |
Maxwell spinor 426 463
Maxwell spinor, decomposition of 493
Maxwell tensor, tetrad components of 142
Maxwell's equations 105—112 227 237 273
Maxwell's equations, tetrad form of 142 582
Mean curvature 76
Mechanics, Newtonian 2—3 33
Menukin, A.B. 19
Mercury 221 227 228 229 230
Metric equations 571
Metric spaces 33
Metric spinor 416 417 420
Metric tensor 12 33—35 459
Metric tensor, spinor equivalent of 417 418 434
Metric, axisymmetric 365—367
Metric, Curzon 380
Metric, Demianski — Newman 386 387
Metric, Einstein — Rosen 198—204 235
Metric, exterior Schwarzschild 198
Metric, exterior Tolman 195—196
Metric, flat-space 135 418 434
Metric, generalization of static 366
Metric, generalized Kerr 391
Metric, generalized Schwarzschild 385
Metric, interior Schwarzschild 198
Metric, inverse 186
Metric, Kerr 131 144 185 323 366 382—383 384 386 387 389—396 396=404
Metric, Kerr — Newman 608 610
Metric, Kerr — Schild 390
Metric, Lewis 368
Metric, Minkowskian 11 206 418 419
Metric, nonstatic 183
Metric, nonstationary Kerr 389—396
Metric, NUT Taub 385—387
Metric, Papapetrou 368—372 379
Metric, radiating 183
Metric, radiative Kerr 390—391
Metric, Reisaner 168 612
Metric, Schwarzschild 134 144 155—162 179 180 182 183 230 246 323 365 366 379 380 386 393 397
Metric, stationary axlsymmetric 365—367
Metric, time dependent 189
Metric, Tolman 189 195
Metric, Tomimatsu — Sato 366 383—384
Metric, Vaidya 183—189 323 331 336 358 389 390 391 393 395
Metric, variable-mass Kerr 391
Metric, Weyl — Levi-Civita 172 176 181 182 365 366 384
Metric, Yasskin 608
Mills, R.L. 553 565 579 612
Minimal coupling principle 18
Minkowskian metric 11 206 418 419
Minkowskian spacetime 66 123 180 235 236 278
Misner, C.W. 168 336 337 363 363 616
Misra, M. 390 405
Mixed tensor 24
Moebius transformation 409 410
Moessbauer effect 211
Mofffler's supplementary condition 326
Moffler, C. 326 363
Moment of inertia tensor 5
Moment, dipole 180
Moment, quadnipole 177 182 221 253 384
Momentum and angular momentum 623—625
Momentum density 250
Momentum flux density 250
Momentum, angular 210 212 217 250—251 330 384 623—625
Momentum, four- 249—250
Momentum, linear 329 623—625
Momentum-velocity relation 628—630
Monochromatic waves 199
Monopole solution of Yang — Mills equations 603—607
Monopole, magnetic 590—593
Moroz, B.Z. 552
Motion in centrally symmetric gravitational field 215—222
Motion in charged particles 310—322
Motion in Schwarzschild field 328—336
Motion in Vaidya gravitational field 336—363
Motion of gyroscope 322 626
Motion of planet 219
Motion of spinning panicles 322—328
Motion of test particle 61 65 88 231 267
Motion, elliptic 195
Motion, hyperbolic 195
Motion, integrals of (general case) 358—363
Motion, integrals of (particular cases) 343—358
Motion, parabolic 195
Moving frame 556
Multipole 180
Naimark, M.A. 480
Naked singularity 390
Neumann function 9
Neutrino equation 151
Neutrino field 398 404
Newman — Penrose equations 135—143 145—147 244 403 554 577
Newman — Penrose method and SL(2,C) theory 554 571—572
Newman — Penrose quantities 402
Newman — Penrose variables 571
Newman, E.T. 135 154 366 386 404 405 543 601 676
News function 241
Newton's gravitational constant 3 85 86 95
Newton's law of motion 1 4 10
Newton's theory of gravitation 3—4 231
Newton, I. 13 14
Newtonian equations of motion 2—3 88 217 277 282
Newtonian force 3 296
Newtonian gravitation 1—10 90 275
Newtonian limit of Einstein field equations 88—93
Newtonian mechanics 2—3 33 231 624
Newtonian potential 3—10 85 88 90 92
No-hair theorem 366
Nomizu, K. 616
Non-Abelian gauge fields 206 560 593—993
Non-Abelian gauge fields in the presence of gravitation 593—595
Non-Abelian group 560
Non-Riemannian geometry 46 52
Noncoordinate basis 556
Noninertial system of coordinates 11 12
Nonrotating black hole 397
Nonrotating star 365
Nonstatic metric 183
Nonstationary Kerr metric 389—396
Null cone 235 236 237
Null coordinates 183 337 459
Null curve 66
Null direction 389 492—500
Null experiments 13—16
Null geodesics 65—66 222 235 559
Null infinity 240
Null rotation 458
Null tetrad 135 240 392 397 458 459
Null tetrad approach to Vaidya metric 185—189
Null tetrad formulation of Yang — Mills theory 596—601
Null tetrad formulation of Yang — Mills theory, in fiat spacetime 601—603
Null tetrad method 397
Null tetrad quantities 391—394
Null tetrad vectors 155 392
Null vector 183 419 492
NUT-Taub metric 385—387
O(2,C) (group) 563
O(3) (group) 445
O(4) (group) 471—480
One-forms 557
Operator, Casimir 334 346 348 350 358
Operator, commutator 421 429 433
Operator, covariant derivative 420 421
Operator, D'Alembertian 208 242 278
Operator, differential 433 557
Operator, Dirac differential 473
Operator, divergence 372
Operator, gradient 3 372 376
Operator, Laplacian 3 91 370 372 376 377
| Operator, representation 409
Optical scalars 141 394
Optics, geometrical 185 188
Orbitral equations 340—343
Oriented manifold 555
Orthogonal gauge field 471
Other tests of general relativity theory 227—230
Palatini variational principle 103—105 574
Palatini-type variational principle for SL(2,C) gauge theory of gravitation 572—579
Panov, V.I. 14 19
Papapetrou equations of motion 323—328 338
Papapetrou metric 368—372 379
Papapetrou — Corinataesi equations of motion 328—336
Papapetrou, A. 204 322 323 324 325 326 328 331 363 631
Papinl, G. 265
Parallel displacement 470
Particle Physics vii
Patel, L.K. 390 406
Paull matrices 416 418 447 454 455
Peeling-off property of Riemannian tensor 241 401
Pekar, D. 13 14 19
Pendulum 14
Penrose classification scheme 492—507
Penrose diagram for classification of gravitational field 503 505
Penrose diagram for conformal structure at infinity 240
Penrose diagram for three dimensional cone 237
Penrose diagram for two-dimensional manifold 236
Penrose, R. 135 154 235 265 480 492 499 552
Peres, A. 297 299 363
Perfect fluid 189
Perihelion advance 220 310
Periodic solutions 199—200
Perturbation on gravitational background 143—151
Perturbation on Kerr metric background 396—405
Petrov classification scheme 488—492 507 509
Petrov type D field 144 188
Petrov's canonical form 498
Petrov, A.Z. 74 83 552
Pettengill, G.H. 265
Pfaffian equation 403 405
Phase group 563
Phase transformation 385 388 389
phase velocity 402
Pirani's supplementary condition 326 338
Pirani, F.A.E. 326 331 332 338 364 552
Planck's constant 102 259
Plane waves 235 243 252 255 509
Plebanski, J. 281 363
Poincare group 13 123—128 207 243 349 350 358
Poincare transformation 207
Point at infinity 235
Poisson equation 3 4 210 211 299 319
Polarization and energy 401—404
Pole-dipole particle 324
Polynomials 408
Polynomials, Chern 551
Polynomials, Legendre 6 179 377
Pontrjagin forms 550—552
Pontrjagin index 473
Post-Newtonian approximation 311 317
Post-Newtonian force 296 298
Post-Newtonian Lagrangian 316—322
Potential and field strength 446
potential energy 4 92 280 299 618
Potential energy, Newtonian 3 4 6 92
Potential, Emit 373—377
Potential, general relativistic 85
Potential, gravitational 227
Potential, Newtonian 3—10 83 88 92
Potential, twill 374
Potential, Yang — Mills 446 450 472
Pound, R.V. 214 215
Press, W.H. 144
Pressure 189
Price, R.H. 144 134
Primed indices 413 455
Principal null direction 389 492—500
Principal null vector 492
Principle of equivalence 16—17 51 109 555 558
Principle of general covariance 17—19 109
Principle of minimal coupling 18
Product, direct 25
Product, inner 557
Product, scalar 26
Product, tensor 557
Projection 559 562
Projective plane 235
Prolate spheroidal coordinates 177 181 375
Propagation of light 222
Proper gauge 521
Proper mass 282
Proper time 11 231 559
Properties of gravitational field 205—265
Properties of Weyl tensor 73—76 488—489
Pseudoscalar 28 38
Pseudotensor 38
Pseudotensor, energy-momentum 189 247—255
Pseudovector 28
Pulsating star 161
Pulse solutions 200—204
Pure gravitational field equations 583—586
Quadrupole moment 177 182 221 253 384
Quadrupole moment tensor 5 7 253 256
Quadrupole radiation formula 253—254 256
Quadrupole, spectral resolution of intensity of 256—257
Quantization, remarks on 578—579
Radar echo experiment 127
Radiating metric 183
Radiating nonrotating star 390
Radiating rotating body 389
Radiating rotating star 390
Radiation formula, dipole 256 262
Radiation formula, quadrupole 253—254 256
Radiation of low frequencies in collision 257
Radiative field 183
Radiative Kerr metric 390—391
Raising and lowering indices 34 416 455 572
Realization 517—528
Realization of spinor representation 409—411
Rebbi, C. 472 479 480
Rebka, O.A. 214 215
Red shift, gravitational 213—215
Reducible quantity 30
Regge, T. 143
Regionally symmetric line element 172
Regionally symmetric line element, Lagrangian density for 176 177
Reina, C. 176 366 405
Reisaner metric 168 612
Relation to Riemann tensor 431—433
Remarks on quantization 578—579
Renner, J. 14 79
Renormalizability of SL(2,C) theory 558 578 615—616
Representation of group SL(2,C) 408—411
Representation of Lie groups 552
Representation of Lorentz group 455—463 491
Rest frame 333
Retarded solution 209 251 278 279 288
Retarded time 184 201 251 278 279 288
Retarded time coordinate 337 343 389 390 391 459
Ricci identity 69—70
Ricci identity, spinorial 430
Ricci rotation coefficients 135
Ricci scalar 71—72 394 437 465 467 468
Ricci tensor 71—72 76 394 465
Ricci tensor, tetrad components of 137 394
Ricci tensor, tracefree 72 438—439 465
Riemann curvature tensor 67—80 237 428 429 431 432 434—435 464 465
Riemann curvature tensor, decomposition of 78 434—435 443 569
Riemann curvature tensor, dual of 70 71 443
Riemann curvature tensor, linear expression of 208
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