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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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Integral conservation laws from Euclidean standpoint      246ff
Integral conservation laws with Einstein tensor      232ff
Integral conservation laws with Killing vector      237
Integral conservation laws with pseudo-tensor      253ff
Integral conservation laws with Riemann tensor      237ff
Integral electromagnetic theorems      363ff
Integral, potential      206
Interchange, rule of      50
Interferometer      115 401
Interior Schwarzschild field      287ff
Internal impulse      159 160
Intersection of geodesics      (see Conjugate points)
Intrinsic luminosity      327
Intuition and geometry      243
Invariant components      10 419
Invariant components of electromagnetic tensor      355 365
Inverse square law      284
Inversec      423 425 426
Irrotational motion      173 196
Isolated body, motion of      194ff 246ff
Isothermal coordinates      205 269ff 310 311
Isotropic coordinates      269ff 342
Isotropic coordinates, pressure      331 338
Isotropic coordinates, transparent medium      376
Israel, W. X      40 269
Jebsen, J. T.      276
Junction conditions      39ff 186 187 194 208 274 278 281 286
Kermack, W. O.      322
Killing equation, tensor, vector      236 420
Kilo      422
Kilometre      425
Kinematical mean velocity      168 176
Kinematics of continuum      169ff
Kinematics of waves      372ff
Kozyrev, N. A.      139
Kronecker delta      3 19 356 420
Lagrangian equation and function      290 323 347 381 418
Lagrangian equation and function, method      169
Lanczos, C. X      19 123 248
Landau, L.      252
Laplace equation and operator      207 217 311 313 339ff
Latin suffixes      1 415
Latitude and world-line curvatures      139 140 148 149
Lecat, M.      427
Lemmas for Cauchy problem      211ff
Length      3 108 113 290 421
Lense, J.      309
Levi — Civita, T.      12 228 310 389 415
Lichnerowicz, A. IX      1 40 211 213 228 360
Lifshitz, E.      252
Light, deflection of      297
Light, particle of      (see Photon)
Light, speed or velocity in vacuo      124 174 228 295 298 343 345 375 378 423 424 426
Light, wave      361 (see also Geometrical optics null
Limit, coincidence      51ff 57 420
Line, straight      245 301
Linear approximation      192 194 202ff 211 221 309
Linear approximation, momentum      229
Lorentz indices      10 164
Lorentz indices, matrix      9 77 418
Lorentz indices, transformation      9 77 82
Lorentz — Heaviside law      359
Luminosity distance      327
Luminosity distance, intrinsic      327
Magnitude of vector      2
Majumdar, S. D.      368
Mapping by null geodesics      21
Marder, L.      352
Margerison, T. A.      411
Marshall, W.      411
Mass centre      239 248ff
Mass in statical universe      340
Mass of body      209 282
Mass of earth      184 425 426
Mass of electron      184 425
Mass of fluid sphere      288
Mass of galaxy      184
Mass of moon      184 425 426
Mass of particle      109 159
Mass of photon      110 159
Mass of star      282 418
Mass of Sun      184 294 425 426
Mass, conservation of      219 359
Mass, density      174 180 355 420
Mass, dimensions of      177 179 180 250 421
Mass, gravitational and inertial      174
Mass, measured in sec      180 421
Mass, positive and negative      314 315
Mass, proper      109 418
Masses, oscillating      353
Mast, C. B.      X XI 394
Material continuum      159ff
Material continuum, particle      105 109 159
Mathematical observation      103 418
Matrix, Lorentz      9 77 418
Matrix, rate-of-strain      171 420
Matrix, spin or rotation      171 420
Matrix, stress      164
Matter, spherically symmetric distribution of      278ff
Matter, tensor      (see Einstein tensor)
Maxwell’s equations      356ff 361 364 367
McCrea, W. H.      322
McVittie, G. C.      211 270 289 296 298 300 301 322 328 329 337
Mean velocity      168 169 176
Measure of curve      3 108 418
Measure of vector      2
Measure, spatial      112ff
Measurement of direction      118ff
Measurement of gravitational field (Riemann tensor)      VIII IX X 144ff 156ff 408ff
Measurement of time      105ff 138 401 421
Mechanical angular momentum      241
Mechanics in statistical model      165ff (see also Fluid Force Geodesic Orbit)
Mechanics of continuum      169ff 173ff
Medium, dispersive      375ff 385 388
Medium, equation      376 386 420
Medium, non-dispersive      377 384 385 386 388
Medium, static      386ff
Medium, transparent      372ff
Mega      422
Mercury      296
Metric for axial symmetry      309ff 352
Metric for electrovac universe      367ff
Metric for Fermi coordinates      87ff
Metric for fluid sphere      287ff
Metric for optical coordinates      87ff
Metric for quasi — Cartesian coordinates      80
Metric for solar field      290 304 342
Metric for spherical symmetry      265ff
Metric, conformastat      341 342 369
Metric, form      1 107 420
Metric, isotropic      269ff 342
Metric, modified optical      376 384 418
Metric, orthogonal      211 270
Metric, Schwarzschild      275 289 290 304
Metric, second extension of      55
Metric, statical      205ff 276 304 338ff 367ff 386ff 393
Metric, stationary      275 299 398
Metric, tensor      1 107 179 243 418
Metric, tensor and change of signature      417
Michelsen — Morley experiment      401 408 410
micro      422
Mie, G.      289
Milli      422
Milne, E. A.      322
Minkowski, H.      IX X
MO      103 418
Model universes      330
Molecule      176
Moller, C. IX      5 18 133 252 301
Moments of distribution      163 419
Momentum      418 419
Momentum in solar field      290 297ff
Momentum in statistical model      159
Momentum in transparent medium      109 375ff
Momentum of body      248 250
Momentum of particle or photon      110 114 122 159 325 378 391 419
Momentum of photon      110 114 122 159 325 378 391 419
Momentum, angular see angular momentum, linear      229 3
Momentum, conservation of      165 167 232ff 237ff 253ff
Momentum, density of      242
Momentum, flux of      164ff 174 238 240 418
Momentum, gravitational      240
Momentum, mechanical      240
Momentum, space      160
Momentum, total      238 240
monopole      278
Moon      104 132 210
Moon, attraction of      426
Moon, distance from earth      425
Moon, mass of      184 425 426
Moon, P. B.      411
Moon, radius of      425 426
Moon, velocity of      426
Mossbauer, R. L.      411
Motion in electromagnetic field      358 359
Motion of continuum      169ff 173ff
Motion of isolated body      194ff 246ff
Motion of perfect fluid      175ff 188 218ff
Motion, incompressible      173 220
Motion, irrotational      173 196
Motion, rigid      114ff 173 179 188 219 414
Motions, group of      234ff 275 299 309 337 352
Muto, Y.      47
Nano      422
National Bureau of Standards      421
Natural observation      103 418
Nebula      322
Negative energy and mass      (see Density energy mass)
Newtonian absolute time      105
Newtonian, astronomy      289 294 390
Newtonian, comparisons      179ff 184 284 289ff 390
Newtonian, fallacies      154
Newtonian, hydrodynamics      176 184 188
Newtonian, potential      2 148 149 181 183 191 208 209 419
NO      103 418
Non-dispersive medium      377 384 385 386 388
Nordstrom, G.      289
Norm of vector      2
Normal congruence      173 196
Normal congruence, coordinates      77
Normal congruence, unit      418
Normals of curve      12 417 418 First Second Third)
Normals of terrestrial world-line      135ff 143 147ff
Notation      415ff
Null cone      21 33 109 201 244 330 375
Null cone in momentum space      160
Null coordinates      187 269 270
Null geodesic      7
Null geodesic and aberration      391ff
Null geodesic and null surface      33 225
Null geodesic and spectral shift      120 299 322ff 411ff
Null geodesic as bicharacteristic      227 361
Null geodesic as gravitational ray      228
Null geodesic as world-line of photon      110
Null geodesic in charged fluid      361
Null geodesic in coherent system      33
Null geodesic in de Sitter universe      259 263
Null geodesic in differential chronometry      401ff
Null geodesic in expanding universe      322ff
Null geodesic in Hamiltonian theory      31
Null geodesic in matter      110 378
Null geodesic in solar field      290ff 297
Null geodesic with modified metric in optics      384 388
Null geodesic, deviation      21 259
Null geodesic, mapping by      21
Null geodesic, special parameter on      7 47 110 394ff
Null rays, shell      330
Null rays, surface      32 33 225 227 228 345 361
Null rays, system of      33
Null rays, vector      2 109
Null rays, wave      34 375
Number of particles per unit volume      164
Number, conservation of      165 167 168 176
Number, polarized      161 162 164
Numerical flux      163
Numerical flux, values      421ff
Numerical flux, vector      163 176 418
Observation, astronomical      118 289 330 390ff
Observation, mathematical and natural      103 418
Observation, optical      21 86 91 123ff 401ff
Observer, first curvature and normal      126ff 131 136ff 142ff 144ff 177 396 401 414 417 424 426
Observer, second curvature and normal      131 136ff 146ff 401 418
Observer, third curvature and normal      136ff 146ff 401 418
Observer, world-line of      21
OC      86 418
One-point principal function      29 419
Operational method      105
Operator, d’Alembertian      200 236 357
Operator, projection      172 397 419
Optical coordinates      86 87ff 91ff 418 419
Optical coordinates, distance      409
Optical coordinates, modified metric      376 384 418
Optical coordinates, observation      21 86 91 123ff 401ff
Optical coordinates, ray      30 377
Optics, geometrical      (see Geometrical optics)
Optics, physical      225
Orbit in solar field      289ff
Orbit of earth      421 425
Orientable space      43
Oriented cell      42
Oriented cell, tensor      18
Origin of quasi — Cartesian coordinates      76 81ff
Orthogonal metric      211 270
Orthogonality of ray and wave      32
Orthogonality, chronometric      211ff
Orthonormal tetrad and triad      8ff 14 419 420
Oscillating masses      353
OT      8
Overlapping coordinates      1 48 76 81 344
O’Brien, S.      X
O’Raifeartaigh, L.      X 3 84 277
Papapetrou, A.      252 368
Parabolic orbit      293
Parallel propagator      59 67 82 120 258 418
Parallel propagator, covariant deratives of      64ff
Parallel transport      12
Parameter, special, on geodesic      7 47 110 394ff
Parsec      426
Particle in statistical model      159
particle of light      (see Photon)
Particle, free      109 110
Particle, identifiable in continuum      169
Particle, mass of      109 159
Particle, material      105 109 159
Particle, momentum of      110 114 159 419
Particle, radiation from      379
Particle, test      359 (see also Geodesic hypothesis)
PAST      21 105
Pastori, M.      228
Pauli, W.      IX 42 180 204 289 407 415 416
Perfect fluid with spherical symmetry      285ff 316
Perfect fluid, Cauchy problem for      218ff
Perfect fluid, energy tensor for      175
Perfect fluid, field equations for      186
Perfect fluid, motion of      175ff 188 198 199 218ff
Perihelion, advance of      293ff
Period of atomic clock      106 421 425
Period of waves      343 347 373
Permutation symbol      18 42 364 420
Permutation symbol, tensor      18 44 172 355 363 420
1 2 3 4 5
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