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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 |
Differential identities 80—83
Differential operator 433 557
Differentiation 21
Differentiation, covariant 51—61
Dipole 254
Dipole moment 180
Dipole radiation formula 256 262
Dipole, pectral resolution of intensity of 256—257
Dirac delta function 111 201
Dirac differential operator 473
Dirac equation 472
Dirac matrices 473
Dirac — Maxwell equations 110
Direct product 25
Directional derivative 186 392 555 571 602
Distorsion 141
Divergence 141 240
Divergence operator 372
Dixon, W.G. 322 326 363 617 622 630 630 631
Dotted indices 413
Double covenant derivative 471 593—594
double stars 253
Double-expansion method 280—287
Drell, S.D. 19
Dresden, M. ix
Dual, bundle 563—564
Dual, conjugate bundle 563 565
Dual, left 71
Dual, right 70
Dual, space 557
Dual, tensor 38 107
Duality rotation 495
Dust 190
Dyad bases 564
Dyce, R.B. 265
Earth 13—15 16 214 215 221 227 228 229 230 262
Earth, Schwarzschild radius of 160
Eccentricity 219
Eddington — Finkelstein form of spherically symmetric metric 164—165 196
Eddington — Finkelstein transformation 164
effective mass 330
Effective radiation 261 264
Ehlers, J. ix 163 629 631
Eigenspinor-eigenvalue equation of classification 509—516
Eigenspinor-eigenvalue equation of classification, for electromagnetic field 484—485
Eigenspinor-eigenvalue equation of classification, for gauge field 511—516
Eigenspinor-eigenvalue equation of classification, for gravitational field 500—507
Eigenvectors-eigenvalue equation of classification, for electromagnetic field 487
Eigenvectors-eigenvalue equation of classification, for gravitational field 490
Einstein field equations 84—154 445 453
Einstein field equations and energy-momentum tensor 600
Einstein field equations, axisymmetric solutions of 365—406
Einstein field equations, linearized 207—213 234 242 251
Einstein field equations, Newtonian limit of 88—93
Einstein field equations, properties of 86—88
Einstein field equations, tetrad formulation of 135—143
Einstein gravitational constant 85 86 94
Einstein Lagrangian 312
Einstein spinor 439 468
Einstein summation convention 12 22
Einstein tensor 71—72
Einstein — Infeld — Hoffmann equation 277—310
Einstein — Infeld — Hoffmann equation, expression of 298
Einstein — Infeld — Hoffmann equation, Lagrangian for 321
Einstein — Maxwell equations 110 189 311 579—590
Einstein — Rosen metric 198—204 235
Einstein — Yang — Mills field equations 596—601
Einstein — Yang — Mills field equations, solutions of 608—616
Einstein, A. 163 168 204 206 267 277 280 281 296 322 363 554 555 558 569 570
Electrodynamics vii 209
Electrodynamics, equations of 105—112
Electromagnetic current 107 111 142 312 589
electromagnetic field 142—143 398 580—583
Electromagnetic field, classification of 481—488 517—520
Electromagnetic field, combined with gravitational field 586—590
Electromagnetic field, eigenspinor-eigenvalue equation of 484—485
Electromagnetic field, eigenvector-eigenvalue equation of 487
Electromagnetic field, energy-momentum tensor of 100—102 312 428
Electromagnetic field, equations 105—112
Electromagnetic field, invariants of 481—484
Electromagnetic field, Lagrangian density for 100
Electromagnetic field, spinors 425—428 483
Electromagnetic field, tensor 106 425 427 481
Electromagnetic field, U(1) invariance of 553
Electromagnetic potential spinor 425
Electromagnetic principal null directions 493
Electromagnetic waves 227 234 243
Electron, Schwarzschild radius of 160
Elementary solutions of Ernst equation 377—381
Ellipsoidal coordinates 177
Ellis, G.F.R. 616
Elongation 228
Elsenhart, L.P. 79 83
Energy and polarization 401—404
Energy momentum, pseudotensor 189 247—255
Energy momentum, spinor 452—453
Energy momentum, tensor 82 85 86 97 110 142 174 183 185 188 199 190 196 204 210 242 251 281 296 312 336 394—396
Energy momentum, tensor of electromagnetic field 100—102 312 428 583
Energy momentum, tensor of electromagnetic field, spinor equivalent of 428 583
Energy momentum, tensor of Yang — Mills field 600
Energy momentum, tensor, and Einstein equations 574 600
Energy, density 183 185 336
Energy, flux density 250 255 403 404
Energy, kinetic 280 299
Energy, loss by two-bodies 254
Energy, potential 4 92 280 299 618
Eoetvoes experiment 13—16 299
Eoetvoes, R.V. 13 14 16 19
Equation of motion, of charged panicle 109
Equation of motion, of light 222
Equation of motion, of test particle 88 215 230 267
Equation of neutrino 151
Equation, Debever — Penrose 492
Equation, Dirac 472
Equation, eigenspinor-eigenvalue 484—485 500—507 509—516
Equation, eigenvector-eigenvalue 490
Equation, Ernst 375—377 379 380 382 383 387
Equation, geodesic 61 88 191 216 222 230 267 299 322 324
Equation, Hamilton — Jacobi 67 154
Equation, Killing 122—130
Equation, Klein — Gordon 102—103
Equation, Laplace 3 7—10 175 176 210 377
Equation, Legendre 377
Equation, master 144
Equation, Pfaffian 405
Equation, Poissor 3 4 210 211 299 319
Equation, Schroedinger-like 154
Equation, Teukolsky 147 398—405
Equations of electrodynamics 105—112
Equations of motion in general Relativity 266—364
Equations of motion of spin 337—340
Equations of motion, Einstein — Infeld — Hoffman 277—310
Equations of motion, Newton 2—3 88 217 277 282
Equations of motion, Papapetrou 323—328 338
Equations of motion, Papapetrou — Corinaidesi 328—336
Equations of Newman and Penrose 135—143 145—147 244 403 554 577
Equivalence class of atlaces 555
Equivalence principle 16—17 51 109 555 558
Equivalence transport 446
Equivalent basis spinors 446
Erez, O. 178
Ernst equation 375—377 379 380 382 383 387
Ernst equation, constant phase solution of 382
Ernst equation, covariance group of 388—389
Ernst equation, elementary solutions of 377—381
Ernst formulation 382
Ernst potential 373—377
Ernst, F.J. 366 372 382 385 389 405
Euclidean geuge field spinors 471—480
Euclidean group 128 129
| Euclidean plane 235
Euclidean SL(2,C) theory of gravitation 579
Euclidean space 33
Euler angles 445
Event horizon 401 402
expansion 141
Experiment of Eoetvoes 13—16
Experiment, null 13—16
Explicit relations between potentials and fields 596—597
Extended bodies in general relativity 617—631
Exterior Tolman metric 195—196
External symmetries 559
Fackerell, E.D. 143 396 405
Fekete, E. 13 14 19
Fermi coordinate system 51 270 558
Fermi, E. 51
Fiber bundle foundations of SL(2,C) gauge theory 562—569
Fiber bundles 554 559
Fiber bundles and gauge fields 558—561
Field equations for motion of test panicle 271—273
Field equations, Einstein 84—154 445 453
Field equations, Einstein — Maxwell 110 189 311 579—590
Field equations, electromagnetic 105—112
Field equations, gauge 448—449
Field equations, gravitational 84—88
Field equations, pure gravitational 583—586
Field equations, Yang — Mills 448—449 597—599
Field of particle with quadrupole moment 177—182
Field strength 446 565—568
Field, electromagnetic 142—143 398
Field, neutrino 398 404
Field, scalar 102 103 114 398
Field, spin zero 238
Field, spin-two 237 238 240 243
Field, tensor 557
Field, zero-rest mass 237 238 243
Finkelstein, D. 163
Fischler, M. 480 552
Flat-space metric 115 418 434
Fluid without pressure 189—190
Fluid, perfect 189
Fock, V. 154 277 281 300 323 363
Fokker action principle 310—311
Fokker-type action principle 311
force 625—626
Force, centrifugal 14—16
Force, Coriolis 212
Force, gravitational 10 17
Force, Lorentz 87
Force, menial 11 17
Force, Newtonian 3 296
Force, post-Newtonian 296 298
Four-momentum 249—250
Four-way scheme of classification 532—552
Fourier expansion 256
Fourleg 556
Free-field equations 568—569
Fronsdal, C. 163
Function, Bessel 8 9 199
Function, Green 279
Function, Hankel 9 10
Function, harmonic 175 275 370
Function, Legendre 179
Function, Neumann 9
Function, spherical 7
Function, spherical wave 399
Function, world 619—620
Galilean group 1—2
Galilean invariance 2
Galilean transformation 2
Galileo, G. 13 14
Gamma rays 215
Gauge covariant derivative 447—448
Gauge field 446 450 473 560
Gauge field, eigenspinor-eigenvalue equation of 511—516
Gauge field, equations 448—449
Gauge field, equations, monopole solution of 603—607
Gauge field, invariants of 509 511
Gauge field, spinors 450—455
Gauge field, spinors, Euclidean 471—480
Gauge field, strengths 565—568
Gauge field, theory 445—450
Gauge fields and fiber bundles 558—561
Gauge fields, Abelian 559—560
Gauge fields, classification of 509—552
Gauge fields, conformal mapping of 470
Gauge fields, geometry of 464—471
Gauge fields, invariants of 509—511
Gauge fields, non-Abelian 206 560 593—595
Gauge fields, orthogonal 471
Gauge fields, spinor formulation of 407—480
Gauge, group 470 560
Gauge, invariance 446
Gauge, potential 446 450 472 565—568
Gauge, potentials and field strengths 565—568
Gauge, theory 445—450
Gauge, theory of gravitation and other fields 553—616
Gauge, theory of gravitation and other fields, SL(2,C) 135 554 555 558 569—572
Gauge, theory, isotopic spin 560
Gauge, theory, null tetrad formulation in flat spacetime of 601—603
Gauge, theory, null tetrad formulation of 596—601
Gauss theorem 44 252
Gauss theorem, generalization of 44
Gaussian curvature 76
General basis 556
General covariance principle 17—19 109
General form of line element 366—367
General relativistic interpretation of differential geometry 558—559
General relativity theory vii 1
General transformation propertics 455—456
Generalization of static metric 366
Generalized Kerr metric 391
Generalized Schwarzschild solution 385
Generator of rotation 172
Geodesic coordinate system 50 82 247 248
Geodesic equation 61 88 191 216 222 230 267 299 322 324
Geodesic line 64 163 267
Geodesic motion in Valdya metric 336—337
Geodesic postulate 266—277
Geodesics 61—67 267 559
Geodesics, null 65—66 222 235 559
Geometrical metric tensor 12 33—35 459
Geometrical metric tensor, spinor equivalent of 417 418 434
Geometrical optics 185 188 389 390 395
Geometry of curved spacetime 20—83
Geometry of gauge fields 464—471
Geometry of invariants of gravitation 492—499
Geometry of manifold  236 242
Geroch, R. 388 405
GL(2,C) (group) 562 563
GL(n,R) (group) 551
Global cross section 563
Goldberg, J.N. 281 363 404
Grace, J.H. 552
Gradient 23
Gradient operator 3 372 376
Gravitation vii
Gravitation and other fields 553—616
Gravitation, gauge theory of 135 569—572
Gravitation, invariants of 492—499
Gravitation, Newton's theory of 3—4
Gravitation, Newtonian 1—10 90 275
Gravitation, quantization of 578—579
Gravitation, SL(2,C) gauge theory of 135 569—572
Gravitation, spinor formulation of 407—480
Gravitational and gauge fields, classification of 481—552
Gravitational bremsstrahlung 255—265
Gravitational constant, Einstein's 85 86 94
Gravitational constant, Newton's 3 85 86 95
Gravitational current 589
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