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D'Inverno R. — Introducing Einstein's Relatvity
D'Inverno R. — Introducing Einstein's Relatvity



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Название: Introducing Einstein's Relatvity

Автор: D'Inverno R.

Аннотация:

There is little doubt that Einstein's theory of relativity captures the imagination. Not only has it radically altered the way we view the universe, but the theory also has a considerable number of surprises in store. This is especially so in the three main topics of current interest that this book reaches, namely: black holes, gravitational waves, and cosmology. The main aim of this textbook is to provide students with a sound mathematical introduction coupled to an understanding of the physical insights needed to explore the subject. Indeed, the book follows Einstein in that it introduces the theory very much from a physical point of view. After introducing the special theory of relativity, the basic field equations of gravitation are derived and discussed carefully as a prelude to first solving them in simple cases and then exploring the three main areas of application. Einstein's theory of relativity is undoubtedly one of the greatest achievements of the human mind. Yet, in this book, the author makes it possible for students with a wide range of abilities to deal confidently with the subject. Based on the author's fifteen years experience of teaching this subject, this is achieved by breaking down the main arguments into simple logical steps. The book includes numerous illustrative diagrams and exercises (of varying degrees of difficulty), and as a result this book makes an excellent course for any student coming to the subject for the first time.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 382

Добавлена в каталог: 17.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
electric field      158
Electrodynamics      163 273
Electromagnetic field tensor      159
Electromagnetic radiation      161 201
Electromagnetic wave      279 281 285
Electromagnetism (electromagnetic theory)      16 120 273 279 281 298 302
Electrostatic field      239
ellipse      19 194 195 198 208 209 216 279
Ellis      6 164 358
Elsewhere      24 111
Embedding geometry      208 209 233 319 321 352
Energy, density      163 164 169 265 323 347 354
Energy, density, relativistic      156
Energy, kinetic      47 114 224 310
Energy, potential      114 224 310 329
Energy, relativistic      48
Energy, transfer      275 290
entropy      266
Epoch      124 311 312 319 320 323 331 343 355
equation      see field equations
Equation of continuity      156 159 160 168
Equation of geodesic      75-6 83-4 89 90 100-1 111 113 116 130 133 142 144 165 166 173 174 195 210 216 218 221 242 243 247 268 302 304
Equation of geodesic deviation      135 136-42 144 225 279 285 288
Equation of motion      114 119 136 164 168 195
Equation of Newtonian deviation      136
Equation of state      158 285
Equatorial plane      196 210 221 229 254 260 291
Equivalence problem      178-9
Ergosphere      255 260 263
Escape velocity      224
Ether      16
Euclidean space      27 56 57 66 67 102 107 135 189 190 208 308 319 320 321 326 329 352
Euler - Lagrange derivative      98 146 149
Euler - Lagrange equations      83 96-101 103 114-16 119 149 152 195 210 216 256 257
Event      16
Event diagram      24 39
Event future horizon      350
Event horizon      38 222 228 231 232 243 246 247 254-6 260-2 264 266 268 285 348-9 350 358
Everett      356
Exact solution      179 285 290 303
Existence      177
expansion      302 303
Expansion (of universe)      172 309-11 336 338 0 345 346 354 355
Experiment, bucket      122-3 132
Experiment, E$\ddot{o}$tv$\ddot{o}$s      205-7
Experiment, Fizeau      22
Experiment, Hughes - Drever      124 207
Experiment, lift      129-30 133 134-5
Experiment, Michelson - Morley      16 23 33
Experiment, moon      126-7
Experiment, Pisa      126 128
Experiment, Pound - Rebka      203 207
Experiment, thought      16 129
Extreme relativistic condition      343
Faraday's law      159
Field      see also gravitational
Field equation(s)      99 119 142 143 146 148 151 152 162 164 169-77 192 228 313 322 323 346 347
Field equation(s), constraint      176 177 296
Field equation(s), dynamical      176 296-8
Field equation(s), Einstein      177 179
Field equation(s), Einstein - Maxwell      163 169 179 239 241 247
Field equation(s), evolution      176 177
Field equation(s), full      142-3 153 162 163 167-9 171 172 179 274
Field equation(s), hypersurface      297 298
Field equation(s), internal      158 159 161 162 168
Field equation(s), Laplace      44 136 144
Field equation(s), linearized      271-9 288
Field equation(s), main      176 296 297 304
Field equation(s), Maxwell's      155 158-62 168
Field equation(s), Navier - Stokes      157 158
Field equation(s), Palatini      145 150 152
Field equation(s), Poisson      44 143 168
Field equation(s), source      158 159 161 162
Field equation(s), steady state      347
Field equation(s), supplementary condition      296 298
Field equation(s), symmetry condition      296
Field equation(s), trivial      296
Field equation(s), vacuum      141 142 149 151-3 170 171 174 176 179 186 187 248 274 279 280 281 290 292 296
Field, electromagnetic      155 158 162 163
Field, electrostatic      239
Field, inertial      135 142
Fitzgerald      16 33
Fitzgerald Contraction      16 33
Fixed stars      123
Flat space      107 171 179 189 204 207 217 282 283 284
Flatness problem      355
Fluid dynamics      156 157 159
Fock      120 173
Focusing of geodesics      76 265 284 294
force      42 51
Force, electromagnetic      354
Force, fundamental      354
Force, gravitational      130
Force, inertial      121 123 124 129 130 142
Force, internal      42
Force, strong nuclear      354
Force, weak nuclear      354
Four-acceleration      117
Four-force      118 119
Four-momentum      118
Four-potential      160-2 168
Four-velocity      117 119 140 155 157
Fowler      341
Frame      139 141 179 225 248
Frame of reference      17 43
Frame of reference, co-moving      37 119
Frame of reference, free fall      129 135
Frame of reference, inertial      17 18 25 27 37 40 41 110 111 121-3 129 130 133 210 253
Frame of reference, non-inertial      121 130 133 253
Frame of reference, rotating      253
Frame, components      140 164
Frame, dual      140 144
Frame, formalism      248
Frame, metric      248-9
Frame, orthogonal      139
Frame, orthonormal      314
Frame, parallely propagated      140 314
frequency      49 52 202 286 287 325
Frequency shift      202
Friedmann      339
Friedmann (cosmological) model      265 307 308 489 322-3 335-7 358
Friedmann singularity      313
Friedmann's equation      307 312 323 328 331 334 359
FRW models      323
Full theory      144 163 170
Functional      96 146 148 152 153
Functional derivative      98
future      111
Future, absolute      24
Future, relative      24
Future, sheet      109
Galilean transformation      18 19 26 27 28 31
Galileo      128
Gamma ray      203 268
Gauge, condition      160 170
Gauge, deDonder      273
Gauge, Einstein      273-4 276 288
Gauge, Fock      273
Gauge, freedom      168 276 277 288
Gauge, Hilbert      273
Gauge, Lorentz      161
Gauge, transformation      160 168 273
Gauge-invariant quantity      273
Gauss's law      158
Gauss's theorem      96
General relativity      3 4 5 6 9 37 44 51 56 120 125 128 130-6 141 142 143 146 153 155 157 162 171 173 177 192 195 196 198 202 204-9 223 225 228 248 256 265 271 281 292 307 308 314 315 322 324 338 340 346 347 358
Generalized coordinate      114
Generalized force      114
Generalized momentum      115 119
Generalized velocity      114
Genericity condition      266
Geodesic      115 207 209
Geodesic, affine      75-6
Geodesic, coordinates      77-8 90 145
Geodesic, metric      83 100-1
Geodesic, motion      174
Geodesic, null      834 89 90 101 113-14 199 234 237 256 292 293
Geodesic, radial null      216 217 219 221 229 230 231 237 238 242 247 256 324
Geodesic, radial timelike      218 230 231 243 247
Geodesic, spacelike      101 111 113
Geodesic, structure      173 303
Geodesic, timelike      111 113 119 136 137 142 144 165
Geodesically complete      230 262 265 266 354
Global structure      303
Gold      344 347
Goldenberg      206
GR conferences      7
Grand Unified Theory (GUT)      354
Gravitational (gravity) wave      3 4 9 188 192 209 265 271 274 284-7 288 301 358
Gravitational (gravity) wave, Brinkmann form      281 282 288
Gravitational (gravity) wave, colliding plane      265 283-5
Gravitational (gravity) wave, Coulomb-type      302
Gravitational (gravity) wave, impulsive      281-4
Gravitational (gravity) wave, longitudinal      302
Gravitational (gravity) wave, Penrose - Khan form      283
Gravitational (gravity) wave, plane (exact)      280-1 283 290 300
Gravitational (gravity) wave, plane (linearized)      271 274-9
Gravitational (gravity) wave, pure transverse      301
Gravitational (gravity) wave, retarded      301
Gravitational (gravity) wave, Rosen form      281-3 288
Gravitational (gravity) wave, sandwich      282 285
Gravitational (gravity) wave, shock      282
Gravitational (gravity) wave, step      284
Gravitational (gravity) wave, transverse      271 279
Gravitational acceleration      127-30 205
Gravitational astronomy      3 288 358
Gravitational collapse      223 228 238 262-6 286
Gravitational field      22 125-30 132-5 142 153 165 167 170 171 173 178 192 195 199 201 204 205 209 224 226 227 271 274 275 290 294 299 300 343
Gravitational lens      201 207
Gravitational potential      44 124 126 127 128 130 135 166
Gravitational radiation      10 192 248 271 275 285 286 291 293 295
Gravitational radiation burst      286
Gravitational radiation, periodic      286
Gravitational radiation, stochastic      286-7
Graviton      22
Grommer      173
Group      28 31-2 110 119 297 312 313
Group, abelian (commutative)      28
Group, BMS      297
Group, Lorentz      109-11 119
Group, Poincar$\acute{e}$      110 113 119 297
Group, rotation      110
Gut      354
Hamiltonian      115 117 119
Hawking      6 164 228 265-7 357 358
Hawking effect      266-8
Hawking radiation      267
Heat death      345
Heavy elements      308 340 341 356
Heavyside step function      281
Hierarchical model      314
hilbert      172
Hill      206
history      17
Hole problem      177-8
Homogeneous space      307 310 312 313 316 317 322 324 329 349 355 356 358
Horizon      see event
Horizon problem      355
Hot Big Bang      see big bang
Hoyle      341 344 347
Hubble      328
Hubble constant      311 313 327 339 341
Hubble parameter      311 327 329 333-5 354
Hubble's Law      311 313 323 325 327 329 330 346 347
Hydrogen      267 308 342
Hyperbola      35 38 231
Hyperbolic motion      38 222
Hypersurface      57 67 175 178 181
Hypersurface, characteristic      292 296
Hypersurface, null      241 242 284 292 293 296
Hypersurface, spacelike      174 312 313 315
ICARUS      198
Identification      246 261 321
Identity      66 288
Identity element      110
Incoherent matter      see dust
Index, bound      59
Index, dummy      59 61
Index, free      59 61
Index, repeated      59
Index-free      55 62 64
Inertia      42 126 171 344
Infeld      173
infinity      56 233 234
Infinity, future null      236 237 294
Infinity, future timelike      236
Infinity, null      236 237
Infinity, past null      236 297
Infinity, past timelike      236
Infinity, spacelike      236
Infinity, spatial      171 184 229
Inflation      354-6 357
Inhomogeneous model      313-14
Initial data      174-8 284 285 298
Initial value problem (IVP)      268 284 285 292 296
Initial value problem (IVP), characteristic      284 296
Integrating factor      186
Integration by parts      147
Integration schema      297 304
Intensity      309 326
Interference      292
Interior Schwarzschild solution      215
interval      27 28 32 81 82 83
Invariant      119
Inverse element      110
Inverse square law      193
Irst fundamental form      81
Isolated radiative system      297 300 301
Isolated source      171 254 281 290 292 301
Isolated system      44-5 133
Isometry      102-3 110 111 312
Isotropic space      26 29 307 310 313 316 317 322 329 355 356
Isotropic space, globally      313
Jacobi's identity      66
Jacobian      58 59 67 91 103
Janis      248
Jupiter      198
K$-factor      20-2 28 40
Karlhede      179
Karlhede classification      179 301
Kasner solution      314
Keller      9
Kepler problem      192-5
Kepler's laws      209 210
Kerr      398 399
Kerr - Newman solution      248 264 265 268
Kerr solution      228 239 248 250-64 268 300
Kerr solution, (advanced) Eddington-Finkelstein form      251 252 258-60 263 264 268
Kerr solution, Boyer - Lindquist form      251 252 255 256 261 268
Kerr solution, Kerr form      251
Khalatnikov      313
Khan      283
Killing vector      102-4 119 144 180-5 188-91 214 229 252 284 290 291 303
Kronecker delta      59 67 82 92 110 135 140
Kronecker delta, generalized      92
Kruskal      230 231
Kruskal solution      231 233 237-238 245 246
Lagrangian (density)      97-101 103 114-17 119 120 146 153 154 162-4 172 179 272 288
Lagrangian (density), Einstein      148-9 151-3
Lamb shift      267
1 2 3 4
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