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Synge J.L. — Relativity: The general theory
Synge J.L. — Relativity: The general theory



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Название: Relativity: The general theory

Автор: Synge J.L.

Аннотация:

General relativity, or the general theory of relativity, is the geometric theory of gravitation published by Albert Einstein in 1916[1] and the current description of gravitation in modern physics. General relativity generalises special relativity and Newton's law of universal gravitation, providing a unified description of gravity as a geometric property of space and time, or spacetime. In particular, the curvature of spacetime is directly related to the energy and momentum of whatever matter and radiation are present. The relation is specified by the Einstein field equations, a system of partial differential equations.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1960

Количество страниц: 519

Добавлена в каталог: 27.03.2013

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Предметный указатель
Pham Mau Quan      213 355 360 384
Phase-angle and function      372 420
Phase-angle, speed and wave      372ff 375ff 419
Photon      21 109ff
Photon and field theory      228 361
Photon in astronomy      118 290ff 324ff 391ff
Photon in astronomy, bouncing      123ff
Photon in conformally flat universe      322ff
Photon of high energy or frequency      109 225 373 378
Photon, energy of      114 118 122 325 392 418
Photon, gun      123 131
Physical optics      225
Physical optics quantities, numerical values of      421ff
pico      422
Pilot-values      194 223
Pirani, F. A. E.      X XI 344
Planck’s constant      122 372 418 425
Plane gravitational wave      345ff 350ff
Planetary orbit      290ff
Plebanski, J.      192
Plumb line      147 149 2
Point invariant      48 77 411
Point tensor      49 59 82 242 2
Point-curve invariant      84
Poisson’s equation      181 189 225
Polar angle      267 420
Polar angle, Gaussian coordinates      266 270 272 276 288 420
Polar angle, space      260 263
Polarization factor      161
Polarized number of particles      161 162 164
Polarized, target      161
Ponderomotive force      359
Positive energy and mass      (see Density energy mass)
Potential      357 420
Potential integral      206
Potential integral, Newtonian      2 148 149 181 183 191 208 209 419
Potential integral, retarded and advanced      193 200ff 211 353
Pound, R. V.      411
Precession of equinox      296
Pressure      164 419
Pressure and density      188 219 286
Pressure and gravitational pull      205ff
Pressure as eigenvalue      175
Pressure in earth      177
Pressure of atmosphere      205 426
Pressure, constant on stream-line      220
Pressure, isotropic      338
Pressure, positive      186 319 331 336 337
Principal direction      (see Eigenvector)
Principal direction, function      28 29 419
Principle of equivalence      IX 133
Principle of Fermat      380 386 389 418
Principle, variational      6 7 26 27 380ff 388ff
Product, scalar      112ff
Projectile      141
Projection formula      161
Projection formula, operator      172 397 419
Propagation of vector      (see Transport)
Propagator, parallel      59 67 82 120 258 418
Propagator, parallel covariant derivatives of      64ff
Proper density      174 355 420
Proper density, mass      109 418
Proper density, time      105 283 288 289 290
Pseudo-distance      323
Pseudo-distance, sphere      34 160
Pseudo-distance, tensor of energy      252ff 419
Pulsating star      278ff
QC      77 419
Quadratic form      (see Metric)
Quadripole      315
Quasi — Cartesian coordinates      76ff 81ff 347ff 419
Radial speed      120 419
Radiation from atom or particle      106 379
Radiation from atom or particle, Cerenkov      380 (see also Geometrical optics Null
Radio waves      111
Radius of curvature      138 424 425 426
Radius of earth and its orbit      425 426
Radius of moon      425 426
Radius of Riemannian curvature      424 425
Radius of sun      294 425 426
Rate-of-strain      171 172 178 182 195 414 420
Rational unit      356 366
Ray in geometrical optics      377ff 386ff
Ray in Hamiltonian theory      29ff
Ray in solar field      289ff 393
Ray, deflection of      297
Ray, gravitational      228
Ray, speed of      377 378 387 388 419
Ray, velocity      378 (see also Null geodesic photon)
Rayner, C. B. X      173
Realistic spirit      184 189 223 290
Rebka, G. A.      411
Reception, energy and frequency of      121 122 325
Recession, speed of      120 300 322
Red-shift      121 (see also Spectral shift)
Reference, frame of      (see Frame of reference)
Refractive index      376 386 418
Relative electrical density      355
Relative electrical density, speed and velocity      120 189 289 306 307 419 426
Relative electrical density, tensor      247 357
Repeated suffixes      1 415
Rest and aberration      400 401
Rest and aberration, energy      169
Rest and aberration, frame      168 376
Rest and aberration, relative      120
Retarded potential      193 200ff 211 353
Ricci tensor      17 419
Ricci tensor for axial symmetry      31
Ricci, G.      415
Riemann subtensor      38 419
Riemann tensor      15 16 419
Riemann tensor and change of signature      417
Riemann tensor and conservation laws      237ff
Riemann tensor and measurement of gravitational, field      VIII IX X 109 132 137 144ff 156ff 183 408ff
Riemann tensor at discontinuity      39
Riemann tensor for conformal space-times      318
Riemann tensor for conformastat metric      341 342
Riemann tensor for curvature coordinates      272
Riemann tensor for Gaussian coordinates      38
Riemann tensor for Godel-type universe      332 333
Riemann tensor for gravitational wave      345 346
Riemann tensor for spherical symmetry      271 272
Riemann tensor for statical field      207 339
Riemann tensor in empty space-time      337
Riemann tensor, double dual of      18 19 239 240 419
Riemann tensor, eigentensor of      237
Riemann tensor, small      24 58 70 74 76 79 83 87 89 93 189 209 240 301 394 403
Riemann tensor, symmetrized      54 57 125 405 419
Riemannian curvature      17 75 126 149 412 418 424 425
Riemannian curvature, rigidity      114ff 173 179 188 219 401 414
Riemannian curvature, space-time      11ff 30ff 103ff
Robertson, H. P.      321 322
Robinson, I.      344
Rosen, N.      173 315 352
Rosen, N. and Fermi transport      14 131 173 407
Rosen, N. and Sagnac effect      407
Rosen, N. matrix, tensor, vector      171 172 182 420
Rosen, N. of continuum      171ff
Rosen, N. of earth      138ff 425 426
Rosen, N. of frame of reference      14 117 131 138ff 147ff 173 407
Rosen, N. of perihelion      293ff
Rosen, N., rotation of body      147ff 196ff 309
Rotational symmetry      (see Axial symmetry)
Ruse, H. S.      VIII 47
Sagnac effect      407
Salmon, G.      409
Salzman, G.      173
Satellite, artificial      132 142
Scalar product      112ff
Scheidegger, A. E.      192
Schiffer, J. P.      411
Schiicking, E.      322
Schild, A.      1 18 38 42 247 252 357
Schouten, J. A.      42 47
Schrodinger, E. X      261 354
Schwarzschild field, complete      285ff
Schwarzschild field, exterior      274ff 296 315 342
Schwarzschild singularity      283
Schwarzschild, K.      275 288
Second and centimetre      138 423 425
Second and mass or energy      180 184 329 423 425
Second as unit of time      138 421 425 426
Second, physical quantities expressed in      421ff
Shift, red or spectral      (see Spectral shift)
Shock wave      225ff 344
Shock wave, electromagnetic      361 362
Sign of G      44
Sign of T      44 186 316 331
signal      377 401
Signature      107 189 193 244 276 331 345 416 417
Signature, effect of changing      417
Singer, S. F.      142
Singularity of Schwarzschild      283
Sirius, companion of      301
Sitter, W. de      257 321 330
Slowness of wave      375
Small body      250 290
Small body, curvature      24 58 70 74 76 79 83 87 89 93 189 209 240 301 394 403
Small body, geodesic triangle      73ff
Small body, relative velocity      121 189 289 306 307
Smallness      58 62 70 74 132 177 250 290
Smithsonian Physical Tables      423
Solar field, metric for      290 304 342
Solar field, orbits and rays in      289ff 393
Solar field, spectral shift in      298ff 393
Solar field, world-function for      305
Solar system      185 223 393
Space-time      VIII IX 105
Space-time from Euclidean standpoint      243ff
Space-time of constant curvature      17 80 256ff 281
Space-time of small curvature      (see Small curvature)
Space-time with group of motions      234ff 275 299 309 337 352
Space-time, conformal      317ff 322ff
Space-time, diagram      VIII IX 112
Space-time, flat      17 48 76 256 257 281 289
Space-time, Godel type      331ff
Space-time, Hamiltonian rays and waves in      30ff
Space-time, Riemannian      30ff 103ff
Spacelike curve      150ff
Spacelike curve, geodesic      154 156
Spacelike curve, target      161
Spacelike curve, vector      2 108 109
Spacelike curve, wave      375
Spatial measure, distance or length      3 108 112ff 290 327 418 421
Special parameter on geodesic      7 47 110 394ff
Special parameter on geodesic, universes      309ff
Spectral shift and Doppler effect      121 298 301 307 308
Spectral shift and energy      121
Spectral shift and frequency      122
Spectral shift and world-function      123 298ff 306ff 393 411ff
Spectral shift for companion of Sirius      301
Spectral shift in continuum      411ff
Spectral shift in solar or statical field      298ff 387
Spectral shift, cosmological      322ff
Spectrometer      391
Speed of group      378 388 419
Speed of light in vacuo      124 174 228 295 298 343 345 375 378 423 424 426
Speed of phase      372ff 419
Speed of ray      377 378 387 388 419
Speed of wave      372ff 388 419
Speed, fundamental      378
Speed, radial or of recession      120 300 322 419
Speed, relative      120 289 306 307 419 426
Sphere, celestial      393 397
Sphere, coordinates on      76 344
Sphere, fluid      285ff 316
Spherical gravitational wave      352 353
Spherical gravitational wave, space      260
Spherical symmetry      256ff 265ff 419
Spherical symmetry and axial symmetry      315
Spherical symmetry complete field with      278ff 285ff
Spherical symmetry exterior field with      274ff 290ff
Spherical symmetry, formulae for      270ff
Spherical symmetry, metric for      265ff
Spin matrix, tensor, vector      171 172 182 420
Spinning body      147ff 196ff 309
Spring-balance      144
Standard clock      105ff 421
Star, aberration of      393ff
Star, apparent direction of      396ff 418 419
Star, gravitational field of      278ff
Star, mass of      282 418
Star, operator      211 (see also Conjugate tensor dual)
Star, pulsating      278
Statical      205ff 276 304 338ff 367ff 386ff 393
Statical field and spherical symmetry      276
Statical field with embedded bodies      205ff
Statical field, conformastat      341 342 369
Statical field, electrovac      367ff
Statical field, metric and tensors for      338ff
Statical field, optics in      386ff 393
Statical field, world-function for      304 (see also Metric solar
Statical measurement of gravitational field      144ff
Statical, stationary      275 299 398 universe)
Stationary field      275 299 389 398
Stationary field, principle      (see Variational principle)
Stationary field, time      390
Statistical equilibrium      169 176
Statistical equilibrium, model      159ff 165ff
Stellar aberration      (see Aberration)
Stockum, W. J. van      309
Stokes, theorem of      41ff 230 239 364
Straight line      245 301
Strain, rate of      171 172 178 182 195 414
Strathdee, J.      X 394
Stream-line      169
Stream-line, curvature of      176 178 195 197
Stream-line, geodesic      175
Stream-lines and rotation      173
Stream-lines and rotation, tube of      172 185
Stress and gravitational pull      205 210
Stress and gravitational pull in statistical model      164
Stress tensor      175 419
Stress tensor and eigenvalues of energy tensor      186
Stress tensor and junction conditions      187 (see also Energy tensor pressure)
Stress-density test      353
Subtensor      38 419
Successive approximation      191
Suffixes, capital, Greek, Latin      1 15 261 332 345 415
Suffixes, repeated      1 415
Suicide, ballistic      141
Summation convention      1 415
Sun, attraction of      205 426
Sun, density of      210 223
Sun, mass of      184 294 425 426
Sun, radius of      294 425 426
Surface, Hamiltonian      26
Surface, null      32 33 225 227 228 345 361
Symbols, list of      417ff
Symmetrized Riemann tensor      54 57 125 405 419
Symmetry in time      217
Symmetry of energy tensor and pseudo-tensor      164 173 253
Symmetry, axial      309ff 352
Symmetry, simplifications due to      191
Symmetry, spherical      (see Spherical symmetry)
T-method      190 193 211 213
Tangent vector      417
TARGET      161ff 174
Taub, A. H.      173 337
Telescope      118 326 391 396
1 2 3 4 5
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