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Synge J.L. — Relativity: The general theory |
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Предметный указатель |
Integral conservation laws from Euclidean standpoint 246ff
Integral conservation laws with Einstein tensor 232ff
Integral conservation laws with Killing vector 237
Integral conservation laws with pseudo-tensor 253ff
Integral conservation laws with Riemann tensor 237ff
Integral electromagnetic theorems 363ff
Integral, potential 206
Interchange, rule of 50
Interferometer 115 401
Interior Schwarzschild field 287ff
Internal impulse 159 160
Intersection of geodesics (see Conjugate points)
Intrinsic luminosity 327
Intuition and geometry 243
Invariant components 10 419
Invariant components of electromagnetic tensor 355 365
Inverse square law 284
Inversec 423 425 426
Irrotational motion 173 196
Isolated body, motion of 194ff 246ff
Isothermal coordinates 205 269ff 310 311
Isotropic coordinates 269ff 342
Isotropic coordinates, pressure 331 338
Isotropic coordinates, transparent medium 376
Israel, W. X 40 269
Jebsen, J. T. 276
Junction conditions 39ff 186 187 194 208 274 278 281 286
Kermack, W. O. 322
Killing equation, tensor, vector 236 420
Kilo 422
Kilometre 425
Kinematical mean velocity 168 176
Kinematics of continuum 169ff
Kinematics of waves 372ff
Kozyrev, N. A. 139
Kronecker delta 3 19 356 420
Lagrangian equation and function 290 323 347 381 418
Lagrangian equation and function, method 169
Lanczos, C. X 19 123 248
Landau, L. 252
Laplace equation and operator 207 217 311 313 339ff
Latin suffixes 1 415
Latitude and world-line curvatures 139 140 148 149
Lecat, M. 427
Lemmas for Cauchy problem 211ff
Length 3 108 113 290 421
Lense, J. 309
Levi — Civita, T. 12 228 310 389 415
Lichnerowicz, A. IX 1 40 211 213 228 360
Lifshitz, E. 252
Light, deflection of 297
Light, particle of (see Photon)
Light, speed or velocity in vacuo 124 174 228 295 298 343 345 375 378 423 424 426
Light, wave 361 (see also Geometrical optics null
Limit, coincidence 51ff 57 420
Line, straight 245 301
Linear approximation 192 194 202ff 211 221 309
Linear approximation, momentum 229
Lorentz indices 10 164
Lorentz indices, matrix 9 77 418
Lorentz indices, transformation 9 77 82
Lorentz — Heaviside law 359
Luminosity distance 327
Luminosity distance, intrinsic 327
Magnitude of vector 2
Majumdar, S. D. 368
Mapping by null geodesics 21
Marder, L. 352
Margerison, T. A. 411
Marshall, W. 411
Mass centre 239 248ff
Mass in statical universe 340
Mass of body 209 282
Mass of earth 184 425 426
Mass of electron 184 425
Mass of fluid sphere 288
Mass of galaxy 184
Mass of moon 184 425 426
Mass of particle 109 159
Mass of photon 110 159
Mass of star 282 418
Mass of Sun 184 294 425 426
Mass, conservation of 219 359
Mass, density 174 180 355 420
Mass, dimensions of 177 179 180 250 421
Mass, gravitational and inertial 174
Mass, measured in sec 180 421
Mass, positive and negative 314 315
Mass, proper 109 418
Masses, oscillating 353
Mast, C. B. X XI 394
Material continuum 159ff
Material continuum, particle 105 109 159
Mathematical observation 103 418
Matrix, Lorentz 9 77 418
Matrix, rate-of-strain 171 420
Matrix, spin or rotation 171 420
Matrix, stress 164
Matter, spherically symmetric distribution of 278ff
Matter, tensor (see Einstein tensor)
Maxwell’s equations 356ff 361 364 367
McCrea, W. H. 322
McVittie, G. C. 211 270 289 296 298 300 301 322 328 329 337
Mean velocity 168 169 176
Measure of curve 3 108 418
Measure of vector 2
Measure, spatial 112ff
Measurement of direction 118ff
Measurement of gravitational field (Riemann tensor) VIII IX X 144ff 156ff 408ff
Measurement of time 105ff 138 401 421
Mechanical angular momentum 241
Mechanics in statistical model 165ff (see also Fluid Force Geodesic Orbit)
Mechanics of continuum 169ff 173ff
Medium, dispersive 375ff 385 388
Medium, equation 376 386 420
Medium, non-dispersive 377 384 385 386 388
Medium, static 386ff
Medium, transparent 372ff
Mega 422
Mercury 296
Metric for axial symmetry 309ff 352
Metric for electrovac universe 367ff
Metric for Fermi coordinates 87ff
Metric for fluid sphere 287ff
Metric for optical coordinates 87ff
Metric for quasi — Cartesian coordinates 80
Metric for solar field 290 304 342
Metric for spherical symmetry 265ff
Metric, conformastat 341 342 369
Metric, form 1 107 420
Metric, isotropic 269ff 342
Metric, modified optical 376 384 418
Metric, orthogonal 211 270
Metric, Schwarzschild 275 289 290 304
Metric, second extension of 55
Metric, statical 205ff 276 304 338ff 367ff 386ff 393
Metric, stationary 275 299 398
Metric, tensor 1 107 179 243 418
Metric, tensor and change of signature 417
Michelsen — Morley experiment 401 408 410
micro 422
Mie, G. 289
Milli 422
Milne, E. A. 322
Minkowski, H. IX X
MO 103 418
Model universes 330
Molecule 176
Moller, C. IX 5 18 133 252 301
Moments of distribution 163 419
| Momentum 418 419
Momentum in solar field 290 297ff
Momentum in statistical model 159
Momentum in transparent medium 109 375ff
Momentum of body 248 250
Momentum of particle or photon 110 114 122 159 325 378 391 419
Momentum of photon 110 114 122 159 325 378 391 419
Momentum, angular see angular momentum, linear 229 3
Momentum, conservation of 165 167 232ff 237ff 253ff
Momentum, density of 242
Momentum, flux of 164ff 174 238 240 418
Momentum, gravitational 240
Momentum, mechanical 240
Momentum, space 160
Momentum, total 238 240
monopole 278
Moon 104 132 210
Moon, attraction of 426
Moon, distance from earth 425
Moon, mass of 184 425 426
Moon, P. B. 411
Moon, radius of 425 426
Moon, velocity of 426
Mossbauer, R. L. 411
Motion in electromagnetic field 358 359
Motion of continuum 169ff 173ff
Motion of isolated body 194ff 246ff
Motion of perfect fluid 175ff 188 218ff
Motion, incompressible 173 220
Motion, irrotational 173 196
Motion, rigid 114ff 173 179 188 219 414
Motions, group of 234ff 275 299 309 337 352
Muto, Y. 47
Nano 422
National Bureau of Standards 421
Natural observation 103 418
Nebula 322
Negative energy and mass (see Density energy mass)
Newtonian absolute time 105
Newtonian, astronomy 289 294 390
Newtonian, comparisons 179ff 184 284 289ff 390
Newtonian, fallacies 154
Newtonian, hydrodynamics 176 184 188
Newtonian, potential 2 148 149 181 183 191 208 209 419
NO 103 418
Non-dispersive medium 377 384 385 386 388
Nordstrom, G. 289
Norm of vector 2
Normal congruence 173 196
Normal congruence, coordinates 77
Normal congruence, unit 418
Normals of curve 12 417 418 First Second Third)
Normals of terrestrial world-line 135ff 143 147ff
Notation 415ff
Null cone 21 33 109 201 244 330 375
Null cone in momentum space 160
Null coordinates 187 269 270
Null geodesic 7
Null geodesic and aberration 391ff
Null geodesic and null surface 33 225
Null geodesic and spectral shift 120 299 322ff 411ff
Null geodesic as bicharacteristic 227 361
Null geodesic as gravitational ray 228
Null geodesic as world-line of photon 110
Null geodesic in charged fluid 361
Null geodesic in coherent system 33
Null geodesic in de Sitter universe 259 263
Null geodesic in differential chronometry 401ff
Null geodesic in expanding universe 322ff
Null geodesic in Hamiltonian theory 31
Null geodesic in matter 110 378
Null geodesic in solar field 290ff 297
Null geodesic with modified metric in optics 384 388
Null geodesic, deviation 21 259
Null geodesic, mapping by 21
Null geodesic, special parameter on 7 47 110 394ff
Null rays, shell 330
Null rays, surface 32 33 225 227 228 345 361
Null rays, system of 33
Null rays, vector 2 109
Null rays, wave 34 375
Number of particles per unit volume 164
Number, conservation of 165 167 168 176
Number, polarized 161 162 164
Numerical flux 163
Numerical flux, values 421ff
Numerical flux, vector 163 176 418
Observation, astronomical 118 289 330 390ff
Observation, mathematical and natural 103 418
Observation, optical 21 86 91 123ff 401ff
Observer, first curvature and normal 126ff 131 136ff 142ff 144ff 177 396 401 414 417 424 426
Observer, second curvature and normal 131 136ff 146ff 401 418
Observer, third curvature and normal 136ff 146ff 401 418
Observer, world-line of 21
OC 86 418
One-point principal function 29 419
Operational method 105
Operator, d’Alembertian 200 236 357
Operator, projection 172 397 419
Optical coordinates 86 87ff 91ff 418 419
Optical coordinates, distance 409
Optical coordinates, modified metric 376 384 418
Optical coordinates, observation 21 86 91 123ff 401ff
Optical coordinates, ray 30 377
Optics, geometrical (see Geometrical optics)
Optics, physical 225
Orbit in solar field 289ff
Orbit of earth 421 425
Orientable space 43
Oriented cell 42
Oriented cell, tensor 18
Origin of quasi — Cartesian coordinates 76 81ff
Orthogonal metric 211 270
Orthogonality of ray and wave 32
Orthogonality, chronometric 211ff
Orthonormal tetrad and triad 8ff 14 419 420
Oscillating masses 353
OT 8
Overlapping coordinates 1 48 76 81 344
O’Brien, S. X
O’Raifeartaigh, L. X 3 84 277
Papapetrou, A. 252 368
Parabolic orbit 293
Parallel propagator 59 67 82 120 258 418
Parallel propagator, covariant deratives of 64ff
Parallel transport 12
Parameter, special, on geodesic 7 47 110 394ff
Parsec 426
Particle in statistical model 159
particle of light (see Photon)
Particle, free 109 110
Particle, identifiable in continuum 169
Particle, mass of 109 159
Particle, material 105 109 159
Particle, momentum of 110 114 159 419
Particle, radiation from 379
Particle, test 359 (see also Geodesic hypothesis)
PAST 21 105
Pastori, M. 228
Pauli, W. IX 42 180 204 289 407 415 416
Perfect fluid with spherical symmetry 285ff 316
Perfect fluid, Cauchy problem for 218ff
Perfect fluid, energy tensor for 175
Perfect fluid, field equations for 186
Perfect fluid, motion of 175ff 188 198 199 218ff
Perihelion, advance of 293ff
Period of atomic clock 106 421 425
Period of waves 343 347 373
Permutation symbol 18 42 364 420
Permutation symbol, tensor 18 44 172 355 363 420
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