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Visser M. — Lorentzian wormholes. From Einstein to Hawking |
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Предметный указатель |
Propagator, time-ordered 35 260
Proper distance 10 174 304 305
Proper radial coordinates 101—102 149—150
Proper radial distance 103 179
Proper time 10 14 117 135 136 336
Proper time to the chronology horizon 341—344
Proper time, along throat 181 349 350 355
Pseudodifferential operator 33
Psycho-ceramics warning 83 204 231
Putative horizon 17—18
Quantization, Bohr — Sommerfrlri 361
Quantization, canonical 31—35 68 348 355—357
Quantization, functional integral 35—38 69—70
Quantum cosmology 258 348 351
Quantum field theory 31—38
Quantum field theory, canonical 31—35
Quantum field theory, causal structure 37
Quantum field theory, conformally-coupled 280 290 291
Quantum field theory, curved spacetime 279 282
Quantum Field Theory, euclidean 69
Quantum field theory, flat spacetime 31—38
Quantum field theory, nonrenormalizable 59 60
Quantum fluctuations 33 35—37
Quantum fluctuations, geometrical 62 257
Quantum fluctuations, interference 62
Quantum fluctuations, large on small scales 34 58 60
Quantum fluctuations, metric 55 56
Quantum fluctuations, topological 62
Quantum gravity 3—7 40 369 370 375
Quantum gravity, canonical 68
Quantum gravity, causal? 374
Quantum gravity, choice of microphysics 256 370 374
Quantum gravity, Euclidean 73
Quantum gravity, Euclidean, diseases 93
Quantum gravity, Euclidean, foundations 93
Quantum gravity, exotic 372—373
Quantum gravity, experimental guidance 374
Quantum gravity, full-fledged 7 265 266
Quantum gravity, functional integral 69—70 288 373
Quantum gravity, lattice 372
Quantum gravity, metric fluctuations 55—60
Quantum gravity, minimum requirements 373
Quantum gravity, minisuperspace 347—348
Quantum gravity, Planck scale physics 58
Quantum gravity, semiclassical 7 264 266 279—295 369 370
Quantum gravity, semiclassical, limitations 347
Quantum gravity, supergravity 372
Quantum gravity, superstring 372
Quantum gravity, topology change 348 364—366
Quantum gravity, twistor 372
Quantum gravity, wave function collapse 262
Quantum number 357
Quantum physics, extensions 259—262
Quantum physics, interpretations 258—259
Quantum physics, metaphysics 259
Quantum physics, parameterized post-classical 259—262
Quantum smearing 356
Quantum timelines 257—258
Quantum units 41
Quasi — Minkowski coordinates 111
R parameter 270
Radial tension 27 108 148
Radiation 76 113 365
Radiation, gravitational 113 181
Radiation, Hawking 127
Radical rewrite conjecture 6 7 249—255 257 260 261
Rapidity parameter 223
Raychaudhuri equation 131—134 306—308
Reality check 83 250 364
Redshift 337
Redshift function 103 104 106 110 136 138 139 145 146 280
Redshift, gravitational 231
Refractive index 303 304
Reissner — Nordstroem geometry 48—50 129 178 181 348—352
Reissner — Nordstroem geometry, definition 21—24
Reissner — Nordstroem surgery 181
Relativity of simultaneity 230—231
Renormalization 86 280 284 291
Renormalization scale 198 290—293
Renormalization, ambiguous 284
Renormalization, finite 284 334
Renormalization, mass 284
Renormalization, wave-function 284
Representation Schroedinger 32
Research problems 93 119 129 135 151 192 193 260 262 280 282 293 294 310 316 370 372 375
Retrodictability 254
Ricci flat spacetime 293
Ricci scalar 56 349
Ricci scalar, definition 11
Ricci scalar, thin-shell 158
Ricci scalar, thin-shell, flat-space 166
Ricci tensor 19 314 315 349
Ricci tensor, definition 11
Ricci tensor, linearized 13
Ricci tensor, semi-positive 307 308
Ricci tensor, thin-shell 158
Ricci tensor, thin-shell, flat-space 166
Riemann tensor 11 145 146 312 314 315 317 349
Riemann tensor, cosmic string 221
Riemann tensor, definition 10
Riemann tensor, generic spheric, at throat 107
Riemann tensor, generic spheric, with horizon 26
Riemann tensor, generic spheric, without horizon 28 106—107 110
Riemann tensor, linearized 13
Riemann tensor, Schwarzschild surgery 178
Riemann tensor, short-throat flat-space 318 323
Riemann tensor, thin-shell 157—158
Riemann tensor, thin-shell, flat-space 166
Riemann tensor, tidal effects 137
Riemann tensor, tides 141
Riemann tensor, traversable wormhole 106—107
Riemann tensor, traversable wormhole, at throat 107
Riemann tensor, traversable wormhole, proper radial coordinates 150
Riemannian manifold 10 70 89 90 295 296 307 308
Ring singularity 49 75 77—79 219 220
Roman configuration 234—239 331—332 340
Roman singularity theorem 119
Roman, on inflating wormholes 145
Root-mean-square 294
Runaway mode 113 114 185
Running coupling constants 369 371
Sanity check 83 250 364
Scalar, bi-density 301
Scalar, conformally-coupled 128 198 263 285 335 353
Scalar, curvature-coupled 197
Scalar, density 301
Scalar, free 197
Scalar, free massless 56
Scalar, free massless, curved spacetime 268 284 335
Scalar, free massless, flat spacetime 32 36
Scalar, minimally-coupled 120—121
Scale anomaly 198 290 291 293
Scale anomaly, nonzero 293
Scale anomaly, zero 293
Scale factor (cosmological) 85 341 348
Scale transformation 291
Scale, electrogravitic 40—41
Scale, Planck 39—40
Schroedinger equation 356
Schroedinger equation, functional 33
Schroedinger picture 31 35 68 296
Schroedinger representation 32
Schwarzschild coordinates 18 20 21 47 48 102 177 339 349 355 357
Schwarzschild geometry 46—48 128 134 177 281 293 351 357
Schwarzschild geometry, definition 18—21
Schwarzschild geometry, negative mass 47
Schwarzschild geometry, proximal 147—149
Schwarzschild geometry, surgically modified 349
Schwarzschild geometry, tides 139 140
Schwarzschild radius 19 61 359
| Schwarzschild singularity 20
Schwarzschild surgery 177—186
Schwarzschild wormhole 47 99 135 146
sec 116 118 119 130 309 see
SEC, definition 116
Second fundamental form 12 161 163 166 174 179 182 190 192 324 349
Second fundamental form, as normal derivative 156
Second fundamental form, average 159
Second fundamental form, definition 154—156
Second fundamental form, discontinuity 153 156 162 323 326 331 352
Second law 119 127
Second Stiefel — Whitney class 287
Seifert surface 188
Self-intersecting geodesic 232 264 265 269 274 333 335 336 342
Seminatural units 41
Set closure 206 208 210 252 255
Shadow matter 144
Shape function 103—106 108 136 138 145 146 280
Shear, geodesic congruence 132 307
Shear, tidal 141 142
Shift function see “ADM split”
Shut-up-an d-calculate non-interpret a 258 261
Singularity theorem 95
Singularity theorem, Hawking — Penrose 118
Singularity theorem, Penrose 118 119
Singularity theorem, Roman 119
Singularity theorem, sundry 119
Singularity, coordinate 20 46
Singularity, crotch 365
Singularity, curvature 20 21 24 46 47 99 100 260
Singularity, future 358
Singularity, naked 47 49 77—79 100 185 219 220 349
Singularity, naked, definition 20
Singularity, past 358
Singularity, physical 20 46
Singularity, ring 49 75 79 219 220
Singularity, Schwarzschild 20
Soap bubble 163—164
Soap film 164
Solar system 288 341
Solid state 82—84
Solutions, exact 95 96
Space-orientable 286
Space-orientable, definition 286
Space-time-orientable 286
Space-time-warp 5
Spacelike 10
Spacetime foam 4 54 60—63 145 285 371
Spacetime foam, local microphysics 288
Spacetime foam, microphysics 289 290
Spacetime foam, orientable? 371
Spacetime, curdled 58
Spacetime, definition 9
Spacetime, locally-static 239—247 335
Spacetime, non-Hausdorff 250—255
Spacetime, non-orientable 110 285—288 290
Spacetime, orientable 285—288 290
Spacetime, Ricci flat 293
Spacetime, space-non-orientable 289—290
Spacetime, space-orientable 289—290
Spacetime, time-non-orientable 288—290
Spacetime, time-orientable 288—290
Spacewarp 3—7
Spatial-jump 236 238
Spin angular momentum 49 59 79 80 83 269 359 372
Spin-connexion 373
Spin-half 35
Spinor 263 335
Spontaneous symmetry breaking 59
Squeezed state 126—127
Squeezed vacuum 126—127 130
Stability analysis 170 184—186 192
Stability analysis, linearized 176 186
Stable causality 66 68 69 73 207
Standard model, cosmological 95 96
Standard model, particle physics 3 31 95 96 121 286—289 369
Standard model, particle physics, curved spacetime 286
Standard model, weak interactions 287
Starobinsky inflation 280
Stars 28 29
Static (definition) 25
Stationary (definition) 18
Stellar collapse 220
Stiff string 190—193
Stress 11
Stress, internal 14 123 169
Stress-energy tensor 12
Stress-energy tensor, Casimir effect 122 123
Stress-energy tensor, Casimir with time-shift 269
Stress-energy tensor, cosmic string 171
Stress-energy tensor, definition 11
Stress-energy tensor, electromagnetic 48
Stress-energy tensor, external 56
Stress-energy tensor, fluctuations 294
Stress-energy tensor, generic spheric 27 107
Stress-energy tensor, Goedel 217
Stress-energy tensor, Hartle — Hawking vacuum 128
Stress-energy tensor, loop-based matter 190
Stress-energy tensor, minimally-coupled scalar 120
Stress-energy tensor, Nambu — Goto 191
Stress-energy tensor, point-split 283
Stress-energy tensor, quantum 197—199 290
Stress-energy tensor, quantum, approximate 338
Stress-energy tensor, quantum, expectation value 263—265 279 345
Stress-energy tensor, quantum, renormalized 291 333
Stress-energy tensor, renormalized 198 334—339
Stress-energy tensor, renormalized, singular part 334
Stress-energy tensor, singularity structure 333—345
Stress-energy tensor, thin-shell 158—159
Stress-energy tensor, topological Casimir effect 125
Stress-energy tensor, traversable wormhole 107—109
Stress-energy tensor, traversable wormhole, at throat 339
Stress-energy tensor, type one 115
Stress-energy tensor, vacuum 81
Strings with (1+1)-matter 192 193
Strong energy condition see “SEC”
Strong equivalence principle 67 73
SUGRA 95 96 372
Superconducting supercollider 31 341
Supergravity 95 96 372
Superspace, gravity 347
Superspace, mini 347—348 369
Superspace, particle physics 347
Superspace, Wheeler 347
Superstrings 86 95 96 189 192 372
Supersymmetry 84 86 95 96 347
Surface mass density 123
Surface stress-energy 158
Surface tension 160 164
Surface tension tensor 160 163
Surgery see “Cut and paste”
SUSY 84 86 95 96 347
Synchronous frame 234 267—269 271 273 341—344
Synge’s world function see “Geodetic interval”
Taylor series 185 186 336 356 359
Technological limits 169 175
Temporal anomaly 252 253 255
Tension, bulk matter 144
Tension, linear 169 173 175 221
Tension, linear, monomolecular chain 169
Tension, radial 27 108 143 144 148
Tensor, density 301
Tensor, projection 138 162
Tensor, surface tension 163
Test field 128 198 256 257 261 281
Test mass 80
Test particle 10 256 257
Tetrad 287 373
Theorem, ANEC no-go 292
Theorem, ANEC violation 197—199
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