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Synge J.L. — Relativity: The general theory |
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Предметный указатель |
Aberration 393ff
Aberration, constant of 394
Aberration, curve of no 398
Aberration, tensor 395 419
Absolute acceleration 176 178 195 197
Absolute acceleration, derivative 4 12 417 418 420
Absolute acceleration, physical meaning of 156
Absolute acceleration, time 105
Acceleration in continuum 176 177 195 197
Acceleration of astronomical observer 398
Acceleration of gravity 132 138 150 177 398 418 424 426
Acceleration, absolute 176 178 195 197
Acceleration, locus of no 196ff
Adiabatic equilibrium 169 176
Admissible coordinates 1 36 39 40 107 187 267 317 344
Advance of perihelion 293ff
Advanced potential 193 200ff
Age of universe 329 426
Agonistic spirit 185 189 290
Alexandrow, W. 276
Angle, azimuthal 267 420
Angle, measurement of 118
Angle, phase 372 420
Angle, polar 267 420
Angstrom unit 425
Angular momentum of body 248 250
Angular momentum, conservation of 229 232ff 237ff 253ff
Angular momentum, density of 242
Angular momentum, dual of 242
Angular momentum, flux of 238 241 418
Angular momentum, gravitational 241
Angular momentum, mechanical 241
Angular momentum, Newtonian 229
Angular momentum, total 238 241
Angular velocity 117 140 407
Angular velocity of earth 138ff 420 425 spin)
Anisotropic transparent medium 376
Antipodal space 260 263
Apple falling 132ff 144 284
Approximation, linear 192 194 202ff 211 221 309
Approximation, successive 191
Araki, H. 217
Area, element of 44 419
Areal velocity 294
Artificial satellite 132 142
Astronomy, distance in 327
Astronomy, Newtonian 294 390
Astronomy, observation in 118 289 330 390ff
Atmosphere 205 426
Atomic clock 106 421 425
Attractions of earth, moon, sun 205 426
Axial symmetry 309ff 352
Azimuthal angle 267 420
Bach, R. 310
Balazs, N. L. X 384
Ballistic suicide 14
bar 205 426
Base event 237 242
Base vector 76 82
Bass, L. X
Bending of light ray 297
Bergmann, P. G. IX 192 252 301 310
Bertotti, B. X
Bianchi identity 17 57
Bibliography 427
Bicharacteristic 227 361
Birds on lampposts 152
Birkhoff, G. D. 276 289 296
Birkhoff’s theorem 276 278 352
Body, charged 367ff
Body, mass of 209 282
Body, motion of 194ff 246ff
Body, rigid 188 401
Body, rotating 147ff 196ff 309
Body, small 250 290
Bondi, H. 184 314 322 329 344
Bonnor, W. B. X 192 202 352 353 368
Born, M. 114 173
Bouncing photon 123ff
Boundary of star 278 281
Bridgman, P. W. 105
Brill, D. R. 217
Brillouin, L. 378
Cadmium red line 106 107 138 425
Canonical equations 27
Capital suffixes 261 332 345
Cauchy data 125 215 221 360
Cauchy data for incoherent charged fluid 360ff
Cauchy data for perfect fluid 218ff
Cauchy data, problem 191 211 213ff
Causality 265 377
Celestial sphere 393 397
Cell, oriented 42
Cell, tensor extension of 42 420
Centi 422
Centimetre and second 138 423 425
Centre of mass (see Mass-centre)
Cerenkov radiation 380
Characteristic 223ff 361 362
Characteristic, curve 224 225 375
Characteristic, function 28 47 419
Charge of electron 425
Charge, electric 355 359 366 367 370 419
Charged body 367ff
Charged body, fluid 355ff 360ff
Chazy, J. 205 310
Christoffel symbols 3 420
Christoffel symbols and change of signature 417
Christoffel symbols in spherical symmetry 271
Chronometry 103ff 105ff 112ff
Chronometry, differential 401ff
Circle, timelike 12
Circular orbit 293
Circulation 28 420
Clark, G. L. 192 309
Clemence, G. M. 296
Clock paradox 142
Clock, atomic or standard 105ff 421
Closed geodesic 260ff
Closed geodesic, space 41ff 190 230 283 340 364ff 370 43ff 229ff
Cloud of dust 175 180ff 195 219
Coherent system (Hamiltonian) 29 33 378
Coincidence limits 5
Collisions 160 165
Comma notation 3 417
Commutation rules 16
Components, invariant 10 419
Components, invariant of electromagnetic tensor 355 365
Conditions of consistency (Cauchy problem) 215ff 220ff
Conditions of integrability 173
Conditions, coordinate 187 191 418
Conditions, junction 39ff 186 187 194 208 274 278 281 286
Cone, null 21 33 109 160 201 244 330 375
Conformally flat space-time 319ff 322ff
Conformally, related space-times 317ff
Conformastat metric 341 342 369
Congruence of stream-lines 169ff
Congruence, normal 173 196
Conjugate metric tensor 3 418
Conjugate metric tensor, points on geodesic 48 58 62 81 223
Conjugate metric tensor, tensor 211
Conservation of angular momentum 232ff 237ff 253ff
Conservation of charge 359 367
Consistency conditions (Cauchy problem) 215ff 220ff
Consistency conditions (Cauchy problem), hypothesis of 106
Constant of aberration 394
Constant of aberration, cosmological 180 214 256 257 274 276 278 321 330 331 338 420
Constant of aberration, curvature 17 80 256ff 281
Constant of aberration, gravitational 181 183 184 298 419 423 424 426
Constant of aberration, Hubble’s 328
| Constant of aberration, Planck’s 122 372 418 425
Content, element of 160 201
Continuum, energy tensor of 173ff
Continuum, equations of motion of 178
Continuum, kinematics of 169ff
Continuum, material 159ff
Continuum, mechanics of 169ff 173ff
Continuum, spectral shift in 41ff
Controlled observation 103
Conversion formulae (g, cm, sec) 138 184 329 423 425
Coordinate conditions 187 191 418
Coordinate conditions, cyclic 309
Coordinate conditions, ignorable 291
Coordinate conditions, time 105 283 288 290 419
coordinates 1 419
Coordinates on sphere 76 344
Coordinates, admissible 1 36 39 40 107 267 317 344
Coordinates, curvature 268 270 272 274 276 290 419
Coordinates, dimensions of 179
Coordinates, Fermi 84ff 87ff 91ff
Coordinates, Gaussian, normal and skew 35ff 39 187 213ff 218ff 360 419
Coordinates, imaginary 417
Coordinates, isothermal 269ff 305 310 311
Coordinates, isotropic 269ff 342
Coordinates, normal 77
Coordinates, null 187 269 270
Coordinates, optical 86 87ff 91ff 418 419
Coordinates, overlapping 1 48 76 81 344
Coordinates, polar 266ff 270ff 276 288 420
Coordinates, quasi — Cartesian 76ff 81ff 347ff 419
Coordinates, transformation of 2 48 81 348ff
Corinaldesi, E. 252
Cosmological constant 180 214 256 257 274 276 278 321 330 331 338 420
Cosmological, red-shift 322ff
Cosmological, theory 329 330
Covariant derivative 3 417
Covariant derivative of parallel propagator 64ff
Covariant derivative of world-function 48ff 57ff 67ff 95ff 303 304 420
Creative spirit 185 189 222
Crest of wave 106 372 3
Current 356
Current laws in statistical model 165ff
Current laws of mass 219 359
Current laws of momentum 229
Current laws, integral 229ff 232ff 237ff 246ff 253ff
Current momentum 165 157 232ff 237ff 253ff
Current of energy 229
Current, electric 355ff 364ff
Current, equation (differential) 18 167 174 191 213 356
Curvature invariant 17 39 419
Curvature invariant and change of signature 417
Curvature invariant for conformally related space-times s318
Curvature invariant for Gaussian coordinates 38
Curvature invariant in Cauchy problem 215 220
Curvature invariant in electromagnetic field 363
Curvature invariant in Godel-type space-time 334
Curvature invariant in statical space-time 207
Curvature of stream-line 176 178 195 197
Curvature of terrestrial world-line 132 136 138ff 143 147 149 177 396 414
Curvature, constant 17 80 256ff 281
Curvature, coordinates 268 270 272 274 276 290 419
Curvature, detector (five-point) 408ff
Curvature, first 12 126 136 142 145 155 197 284 396 401 417 420
Curvature, Gaussian 268 290
Curvature, measurement of 401 408
Curvature, radius of 138 424 425 426
Curvature, Riemannian 17 75 126 149 412 418 424 425
Curvature, second 12 131 136ff 146ff 401 418
Curvature, small 24 58 70 74 76 79 83 87 89 93 189 209 240 301 394 403
Curvature, tensor (see Riemann tensor)
Curvature, third 12 136ff 146ff 401 418
Curvature, vector 396 420
Curve of no aberration 398
Curve, measure of 3 108 418
Curve, normals and curvatures of 12 417 418 first second third)
Curve, spacelike 15
Curve, world-function for two points on 95ff
Curzon, H. E. J. 314
Cut-off of gravitational field 25 395
Cyclic coordinate 309
Cyclic coordinate, permutation 364
Cylindrical gravitational wave 218 352
Darmois, G. 310
Das, A. X, XI 142 296 309 368
De Sitter see Sitter, W. de deci 422
Deflection of light 297
Deformation of continuum 171
Degree centigrade 425
Deka 422
Delta, Kronecker 3 19 356 420
Densities, Newtonian and relativistic 183 208
Density and pressure 188 219 286
Density in expanding universe 329
Density of angular momentum 242
Density of angular momentum, dimensions of 180
Density of energy 164 177
Density of mass 174 180 355 420
Density of sun 210 223
density of water 425 426
Density, electric 355 420
Density, positive and negative 186 189 196 213 216 223 319 331 336 337
Density, proper 174 355 420
Density, tensor 247 357
Derivative of parallel propagator 64ff
Derivative of world-function 48ff 51ff 57ff 67ff 95ff 303 304 420
Derivative, absolute 4 12 156 417 418 420
Derivative, covariant and partial 3 417 420
Deviation from flatness 76 87 418 420
Deviation of falling body 138
Deviation of geodesics 19ff 60ff 258 391
Deviation, vector 20
Differential chronometry 401ff
Differentiation, absolute and covariant (see Derivative)
dimensions 177 179 180 184 250 421
Dingle, H. 270
Direction cosines 127 396 418 420
Direction cosines, measurement of 118
Discontinuity 2 39 186 187 194 208 225ff 274 278 281 286 344
Discontinuity, essential 227 (see also Junction conditions shock
Dispersive medium 375ff 385 388
Distance 108
Distance, astronomical 327
Distance, Fermi 403
Distance, function 47
Distance, luminosity 327
Distance, optical 409
Distance, pseudo 323
Distance, spatial 3 108 113 290 327 420
Distribution function 162 420
Distribution function, moments of 163 419
Doppler effect 121ff 298 301 307 308
Dual of angular momentum 242
Dual of electromagnetic tensor 356 366 418
Dual of Killing tensor 236
Dual of skew-symmetric tensor 363
Dual of vector 46
Dual, double 18 19 239 240 419
Duffin, R. J. 422
Dust cloud 175 180ff 195 219
Dust cloud, charged 355
Dynamical mean velocity 168 169 176
Dynamics of continuum 169ff 173ff
Dynamics of particle (see Collisions Geodesic Ponderomotive
d’Alembertian operator 200 236 357
Earth, angular velocity of 138ff 420 425
Earth, attraction of 205 426
Earth, mass of 184 425 426
Earth, orbit and velocity of 421 425 426
Earth, pressure in 177
Earth, radius of 425 426 Riemann observer)
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