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| Авторизация |
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| Torretti R. — Relativity and Geometry |
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| Предметный указатель |
A priori knowledge of physical world 232 233
Abraham, M. 138 139—140 143 149 308 309 312 316 351
Abraham, R. 305 351
Acausal set in causal space 124
Achronal set in causal space 124
Action of a group on a set 26 288
Action of a group on a set, effective 26
Action of a group on a set, free 263
Action of a group on a set, left 26;
Action of a group on a set, right 288 note 13
Action of a group on a set, transitive 26
Action-at-a-distance, delayed 133
Action-at-a-distance, instantaneous 130 131
Action-at-a-distance, Newton’s view 33
Aether 37 38 39—47 117 290 291 300
Aether drag, Fresnel 41—42 70
Aether drag, Hertz 40
Aether drag, Lorcntz 42 43 291
Aether drag, Michelson 291 note 15
Aether drag, Stokes 41
Affine manifold 187
Affine metric space 91
Affine parameter 278
Affine space 72 91 296
Affine structure of a manifold 188
Airy, G.B. 42 293 352
Alembert, J.d’ 288
Alexandrov topology 124 308
Alexandrov, A.D. 127 309 352
Alley, CO. 296 352
Alpha body (Neumann) 16 17 286
Alvager, T. 293 352
Ampere, A.M. 35 289 352
Anderson, J.L. 296 352
Andromeda galaxy (M 31) 203 332 note
Angel, R.B. vi 284 344 352
Angle measure in proper Riemannian manifold 327 note 19
Arago, F. 41 352
Archibald, R.C 288 352
Archimedes 1
Archytas of Tarentum 1
Aristotle 9 11 12 220 248 249 285 286 338 346 352
Arnowitt, R. 325 332 352
Arzelies, H. 293 295 298 315 338 345 352
Atlas 257
Atlas, Galilei 24 figure
Atlas, Lorentz 89
Augustine, Saint 346 352
Baade, W.H.W. 332
Babcock, G.C 293 352
Bacry, H. 76 352
Bailey.J. 296 352
Bargmann, S. 340
Barnett, L. 343
Bartok, Bela 203
Bateman, H. 297 352
Bauer, H. 319 352
Beauregard, L.A. 340 352
Bentley, Bishop 33 289
Benz, W. 297 352
Bergman, T.G. 293 352
Bergmann, P.G. 293 307 308 324 352
Berkson, W. 289 293 352
Bern, V. 79 80 82 297 298 352
Bernays, P. 169
Besso, M. 166 167 168 316 320 321 328 359
Bianchi identities 272 280 318 322
Bianchi, L. 322
Bilaniuk, O.M.P. 296 353
Birkhoff, Garrett 284 368
BirkhoiT, George David 335 353
Bolyai, J. 333 340
Bondi, H. 5 284 325 353 377
Boost 61
Bork, A.M. 288 353
Born, M. 2 147 181 195 293 296 300 314 328 353 359 369
Boscovich, R.J. 289 353
Bosshardt, B. 217 353
Bouncing light signal 53
Bouncing signal 223
Bowman, P.A. 338 353 359
Brace, D.B. 85 293 353
Bradley, J. 40 41 291 353
Braginsky, V.B. 310 325 353 355
Brans, C.H. 200 331 353
Brecher, K. 293 353
Bridgman, P.W. 193 298 338 353
Brill, D.R. 330 353 354
Brouwer, L.E.J. 326 353
Bruno.G. 204 333
Bundle 263
Bunge.M. vi 293 306 353 363
Burke, W.L. 325 353
C 36 37 56 82 89 120f. 140 141 289 note
Callaway, J. 330 353
Capek, M. 285 286 353
Carnap, R. 340 354
Cartan, E 21 101 176 189 191 266 318 327 354
Cartan, H. 287 354
Carter, B. 335 354
cartesian 14
Cartesian coordinates 14
Cauchy completion of metric space 211 335
Cauchy sequence 211
Cauchy surface 124 215 332
Cauchy, A.L. 335
Causal automorphism 127
Causal future of worldpoint 121
Causal future of worldpoint, of set of worldpoints 121
Causal past 121
Causal space 123
Causal space, stably 254 337
Causal space, strong 125 253
Causal space, topological 124
Causal structure of relativistic spacetime 192 247 252—255
Causal vector 124
Causality and spacetime structure 123 255
Causality and time order 220
Causality, formal vs.efficient 255
Causally connectible 121
Causally precedes 121 192
Cayley, A. 341
Chart 257
Chevalley, C 295 354
Choquet-Bruhat, Y. 313 325 332 348 349 354
Christoflel, E.B. 2 143 315 354
Chronological future 121
Chronological neighbourhood 124
Chronological past 121
Chronologically precedes 121 192
Clarke, C.J.S. 284 325 326 336 337 344 348 354 376
Clarke, S. 285
Clemence, G.M. 322 354
clock 12 13 52 96
Clock Hypothesis 96 327
Clock paradox 68 figure 96 296
Clock synchronization, by clock transport 226 figure 338 note
Clock synchronization, by light signals 53 figure 223
Clock synchronization, determined by Reciprocity Principle 298 note 4
Clock synchronization, Eddington on 226
Clock synchronization, Einstein on 53 figure
Clock synchronization, Reichenbach on 223 figure
Clock synchronization, standard vs.non-standard 226
Clock synchronization, symmetry of 294 note 7
Clock synchronization, Thomson on 52 294
Clock synchronization, transitivity of 294 note 7
Coffa, J.A. vi 340 354
Cohen, J.M. 330 353 354
Comoving coordinates 329 note 24
Compact topological space 329 note 22
| Compass of inertia 200 331
Conceptual change 108 341
Conformal metrics 192
Conformal structure of a manifold 192
Conformally flat metric 313 note 30
Congruence of curves 28
Congruence path-dependent in Weyl’s “pure infinitesimal geometry” 190
Conjugate vector (in Minkowski geometry) 125
Connected topological space 288 note 12 314
Connection form 271
Connection in a principal fibre bundle 270 (see also “Linear connection”)
Contraction of a tensor 349 note 5
Conventionalism 87 231 232
Conventionalism, geometric, Grunbaum 242 figures 344—346
Coordinate system see “Chart”
Coordinate transformation 15 257
Coordinate transformation, Galilei 24—25
Coordinate transformation, Galilei, purely kinematic (pk) 29
Coordinate transformation, Lorentz 56
Coordinate transformation, Lorentz, homogeneous 72
Coordinate transformation, Lorentz, mathematical vs.physical sense 72
Coordinate transformation, Lorentz, non-kinematic (nk) 57
Coordinate transformation, Lorentz, orthochronous 72
Coordinate transformation, Lorentz, proper 72
Coordinate transformation, Lorentz, purely kinematic (pk) 61 figure
Coordinate transformation, Mobius 76
Coordinates, metrical meaning in Newtonian mechanics and Special Relativity 14 15 51 53 54 56
Coordinates, no immediate metrical meaning if gravity is present 147 149 151 154
Coordination of concepts with reality (Reichenbach) 233 234
Coordinative definition (Reichenbach) 234 342 note
Copernicus, N. 201
Corinaldesi, E. 324 355
Corresponding States, Lorentz’s Theorem of 44 figure 46 292
Cosmological constant 198 f 205
Cosmological Principle (Milne) 333 note 24
Cosmological redshift (in Friedmann universe) 207 figure 334
Cosmology, relativistic 197—199 202—210 328—338
Cotangent bundle 99
Cotangent space 260
Cotangent vector see “Covector”
Coulomb, C.A. 35
Covariance see “General covariance”
Covariant derivative 101 155 274—275
Covariant derivative, absolute 275
Covariant derivative, exterior 270
Covariant differential 275
Covariant differentiation commutative only in flat manifold 317 note 15
Covector 99 260
Covering space 346 note 12
Critical point 304 note 6
Cross-section, of a bundle 263
Cross-section, parallel 271
Cullwick, E.G. 307 355
Cunningham, E. 297 355
Curvature form of a connection 271
Curvature of plane curve 313 note 3
Curvature scalar 210 280 281 318
Curvature, analogy of Gaussian curvature with gravity 146 figure
Curvature, associated with linear connection 275 277
Curvature, associated with Riemannian metric 144 figure
Curvature, constant 145 238 333
Curvature, Gaussian 144 313
Curvature, sectional 145
Curve 6 94
Curve, causal 124 127
Curve, chronological 124
Curve, closed 124
Curve, closed causal 253
Curve, energy-critical 94
Curve, horismotical 124
Curve, length-critical 95
Curve, reparametrization of 259
Curve, tangent to 259
Dautcourt, G. 327 355
Davies, P.C.W. 325 355
de Sitter’s empty universe 199 203 328 note 329
Dehnen, H. 331 364
Descartes, R. 1 9 10 22 37 285 355
Deser, S. 325 332 352
Determinism, chronogeometrical 249—251
Determinism, logical 249
Dicke, R.H. 135 310 316 322 331 353 355 373
Diffeomorphism 258
Differentiability, order of physical significance 348 note 4
Differential 260 261
Differential form 99 266—268
Dingier, H. 287 343 355
Dingle, H. 296
Diocles 1
Dirac, P.A.M. 182 344 355
Direct sum of vector spaces 297 note 5
Distance 303 note 1
Distance in proper Riemannian manifold 95
Dixon, W.G. 121 186 307 323 324 355
Dodson, CT.J. 344 355
Domain of dependence 124
Doppler effect 70 300
Douglass, D.H. 325 355
Drag-along of covariant tensor field by diffeomorphism 165
Drake, S. 288 361
Droste, J. 184 322 355
Dutta, M. 297 355
D’Agostino, S. 289 355
Eardley, D M. 219 356
Earman, J. 21 283 296 311 316 320 322 323 339 344 356
Eddington, A.S.’ 176 190 203 226 284 293 322 324 327 332 338 355 356
Edelen, D. 316 356
Ehlers, J. 4 180 193 310 323 324 325 327 348 356 363
Ehrenfest paradox 314 note 22 315
Ehrenfest, P. 166 167 168 314 315 320 356
Ehresmann, Ch. 266 356
Einstein field equations of the gravitational field 159 160 173 281
Einstein field equations of the gravitational field, singled out among alternatives 160 318 323 332
Einstein field equations of the gravitational field, weak-field or linearized approximation 325 note 35
Einstein simultaneous 54
Einstein spherical static universe 198 204 329
Einstein summation convention 89
Einstein tensor, modified 160 318
Einstein tensor, proper 160 323
Einstein tensor, vanishing of covariant divergence 160 318
Einstein time 54
Einstein, A. vi x 2 3 4 5 7 12 13 20 38 42 47 48—71 83 84 85 86 87 105 108—113 122 130 133 134—139 140 142 143 146—175 176 177 178 181 184 189 190 191 195—199 200 201—202 203 204 220 225 231 233 237 238 241 243 247 256 257 281 283 284 287 292—296 303 306—307 309—333 338 340 342 343 345 354 357—359 368
Eisenhart, L.P. 313 359
Ekhenwald, A. 291 356
Electromagnetic conception of matter 290 note 18 302 322
Electromagnetic energy tensor 117 172
Electromagnetic field tensor 115 307
Electromagnetic stress tensor 117
Electromagnetic unit of charge 289 note 4
Electrostatic unit of charge 289 note 4
Ellis, B. 338 340 359
Ellis, G.F.R. 253 254 284 314 325 335 336 337 339 347 348 359 363 376
Embedding of a manifold into another 326 note 7
Embedding of a manifold into another, isometric 326 note 7
Emden, R. 316
Energy of moving massive particle in Special Relativity 70 figure
Energy tensor 119 308 note
Energy tensor, Conservation law 120
Energy tensor, e.t. of dust 172
Energy tensor, energy tensor not a satisfactory representation of matter 324 note 11
Energy tensor, matching law in General Relativity 158
Energy tensor, of perfect fluid 120 331
Energy tensor, plays same role as gravitational energy matrix in Einstein field eqns 174 175
Energy tensor, vanishing of covariant divergence implied by Einstein field eqns 160 174 175
Energy tensor, vanishing of covariant divergence not a “pure conservation principle” 158
Energy, kinetic (Special Relativity) 111 113
Engel, F. 297 333 367
Eotvos, R. 143 310 359
EP (Equivalence Principle) 135 (see also under “Principle of Equivalence”)
Epstein, P.S. 296 360
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