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Lawden D.F. — An Introduction to Tensor Calculus, Relativity and Cosmology
Lawden D.F. — An Introduction to Tensor Calculus, Relativity and Cosmology

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Название: An Introduction to Tensor Calculus, Relativity and Cosmology

Автор: Lawden D.F.

Аннотация:

Elementary introduction pays special attention to aspects of tensor calculus and relativity that students find most difficult. Contents include tensors in curved spaces and application to general relativity theory; black holes; gravitational waves; application of general relativity principles to cosmology. Numerous exercises. Solution guide available upon request.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: third edition

Год издания: 1982

Количество страниц: 197

Добавлена в каталог: 15.04.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Aberration of light      60
Acceleration, motion with constant      63
Acceleration, transformation of      59
Adler, R.      200
Aether      5
Affine connection      98
Affinities, difference of      99
Affinity      97
Affinity, metric      110
Affinity, symmetric      100
Affinity, transformation of      98
Aharoni, J.      200
Angel, R.B.      200
Angle between vectors      29 107
angular momentum      57
Axial vector      31
Bateman, H.      161 199
Bazin, M.      200
Berry, M.      200
Bianchi identity      111
big bang      175
Black body radiation of cosmos      175
Bondi, H.      174 175 199
Boyd, T.J.M.      74 199
Cartesian tensor      24
Charge density, proper      74
Charge density, transformation of      82
Charge, conservation of      73
Charge, field of moving      85
Christoffel symbols      109
Clarke, R.W.      200
Clock paradox      13 14 20
Clock, coordinate      131 152
Clock, coordinate, standard      7 132 152
Clocks, synchronization of      7
Cloud, incoherent      51 140
components of vector      24
Compton effect      65
Conjugate tensors      95
Coordinate lines      87
Coordinate surfaces      87
Coordinates of an event      7 132
Coordinates, curvilinear      86
Coordinates, geodesic      108
Coordinates, spherical polar      86
Copernicus      5
Cosmic ray particles      43
Cosmic ray particles, decay of      13
Cosmic scale factor      181
Cosmical constant      137 188 198
Cosmical time      176
Cosmogony      174
Cosmological principle      176
Cosmological principle, perfect      176
Cosmology, steady state      175
Cosmos, radiation dominated      175 193
Coulson, C.A.      74 199
Covariant derivative      97 98 100
Covariant differentiations, commutativity of      118
Curl      31 118
Current density      73 154
Current density, transformation of      82
Curvature scalar      114
Curvature tensor for a weak field      139
Curvature tensor, covariant      111
Curvature tensor, Riemann — Christoffel      105
Curvature tensor, symmetry of      112
Curvature, space of constant      123 176
De Sitter's universe      164 165 171 188 197
Deceleration parameter      181
Dilation of time      13 39
Dirac, P.A.M.      200
Displacement vector      24 89
Divergence      29 112
Dixon, W.G.      200
Doppler effect      83
Earth's surface, metric of      89
Einstein's equation      46
Einstein's law of gravitation      137
Einstein's tensor      114 137
Einstein's universe      171 188
Einstein's universe, stability of      198
Einstein, A.      200
Electric charge density      5 73
Electric charge density, transformation of      82
Electric charge, conservation of      73
Electric charge, invariance of      74
Electric charge, proper density of      74
Electric current density      5 73 154
Electric current density, transformation of      82
Electric current, field of straight      78
Electric displacement      5
Electric intensity      5 75
Electric intensity, transformation of      77
Electromagnetic field tensor      76 154
Ellis, G.I.R.      200
Energy density, electromagnetic      81 82
Energy, conservation of      46 53 82
Energy, equivalence of mass and      46
Energy, kinetic      45
Energy, particle's internal      46
Energy-momentum tensor      52 135
Energy-momentum tensor, divergence of      53 136
Energy-momentum tensor, electromagnetic      80 155
Energy-momentum tensor, fluid's      50 70
Energy-momentum tensor, symmetry of      59
Eoetvoes, L.      128
Equivalence, principle of      129
Euclidean geometry      6
Euclidean space      88 96 106 109
Evans, D.A.      200
Events      7
Events, causal relation between      16
Events, coordinates of      7 132
Fall, particle in free      133 140
Fitzgerald Contraction      12 17
Fluid, EM tensor of      56
Fluid, perfect      57
Fock, V.      200
force      2 44
Force density      51
Force, centrifugal      3 17 128
Force, Coriolis      3 17 128
Force, fictitious      2 129
Force, inertial      3 128
Force, rate of doing work by      45 51
Force, transformation of      47
Frame, comoving reference      180
Frame, general reference      131
Frame, inertial      1 127
Frame, local free-fall      132
Frankel, T.      200
Friedmann universes      189 198
Fundamental tensor      25 105
Fundamental tensor, covariant derivative of      101
Future, absolute      16
Galactic gas      175
Galactic gas, closure density for      187
Galactic gas, EM tensor of      186
Galactic observers      176
Galaxies, distribution of      175
Galaxies, gravitational field of      129
Galaxies, proper distance of      182
Galaxies, red shift of      175 182
Galilean law of inertia      134
Galilean transformation      11
General principle of relativity      128
Geodesic      114 121 134
Geodesic frame      108
Geodesic, equations of      115 117
Geodesic, null      116 150
Gold, T.      175 199
Gradient      28 91
Graves, J.C.      200
Gravitation, Einstein's law of      137 166
Gravitation, Newton's law of      139 140
Gravitational constant      136 140
Gravitational field of a point charge      172
Gravitational field of a sphere      145
Gravitational field, irreducible      131
Gravitational field, weak      137
Gravitational waves      160
Gravitational waves, polarization of      161
Hamilton's equations      49
Hamiltonian      49
Hamiltonian, electromagnetic      83
Harmonic coordinates      126 160 172
Hawking, S.W.      200
Heat, mass of      45
Heidmann, J.      200
Hoffmann, B.      200
Hole, black      159
Hole, white      159
Homogeneity of space      26
Horizon, event      189 196
Horizon, particle      195
Hoyle, K.      175 199 200
Hubble's constant      181 192
Hubble's Law      175 182
Hypersphere      123 176
Hypersphere, metric of      123 177
Index, dummy      23
Index, free      23
Index, raising and lowering      106
Inertial forces      128
Inertial frame      1 127
Inertial frame, local      132
Inertial frame, quasi      138
interval      105 132
Interval between events      132
Interval, proper time      14 132
Intrinsic derivative      119
Invariant      27 90
Invariant, covariant derivative of      100
Invariant, parallel displacement of      100
Inverse square law, Einstein's correction to      148
Isotropy of space      26
Kilmister, C.W.      200
kinetic energy      45
Kronecker deltas      22 25 92
Kruskal — Szekeres transformation      167
Lagrange's equations      49
Lagrangian      49
Lanczos, C.      200
Landau, L.D.      200
Landsberg, P.T.      200
Laplace's equation      26
Laplacian      113
Length      12
Levi-Civita pseudotensor      30
Lifshitz, E.M.      200
Light cone      16
Light pulse, wavefront of      7
Light ray, gravitational deflection of      152
Light signal, world line of      150
Light waves, velocity of      5
Light, limiting velocity of      11
Lorentz force      79
Lorentz transformation, general      9
Lorentz transformation, inverse      11
Lorentz transformation, special      9 17
Luminosity and red shift      185 197
Luminosity distance      184 197
Luminosity, apparent      183 184
Luminosity, intrinsic      183 184
Mach's principle      130
Magnetic induction      5 75
Magnetic induction, transformation of      77
Magnetic intensity      5
Mass      3
Mass, conservation of      42 45 51 190
Mass, equivalence of energy and      46
Mass, inertial      43
Mass, inertial and gravitational      130
Mass, invariance of Newtonian      4
Mass, proper      42
Mass, proper density of proper      53
Mass, rest      42
Mass, transformation of      43
Maxwell's equations      5 77 154
Maxwell's stress tensor      81
Mercator's projection      123
Mercury, advance of perihelion of      150
Metric      89 105
Metric affinity      110
Metric of a gravitational field      133
Metric of a sphere      119
Metric tensor      105
Metric tensor, covariant derivative of      110
Metric, form invariant      142
Metric, spherically symmetric      143
Metrical connection      105
Michelson-Morley experiment      5
Minkowski coordinates      8
Minkowski space-time      8 15
Misner, C.W.      200
Moller, C.      200
Moment of force      58
Momentum      3 43
Momentum density      50
Momentum density, electromagnetic      82
Momentum, conservation of      42 52 82
Momentum, density of      50
Momentum, transformation of      43
Muon      48
Narlikar, J.V.      200
Neutrino      48
Newton's first law      1
Newton's law of gravitation      139
Newton's laws, covariance of      4
Newton's second law      2 44
Newton's Third Law      3 44
Newtonian potential      136 139 140 146 153
Non-Euclidean space      88
Ohm's law      85
Orbit, planetary      69 147
Orthogonal transformation      21 86 92
Orthogonal vectors      29 108
Papapetrou, A.      200
Parallel displacement of vectors      96
Parity of space      26
Particle, Hamiltonian for      49 83
Particle, internal energy of      46
Particle, Lagrangian for      49
Particles, collision of      3 42
Past, absolute      16
Penzias, A.A.      175
Perihelion, advance of      150
Petrov, A.Z.      200
Photon      48
Pion      48
Planetary orbits      147
Poisson's equation      140
Potentials, electromagnetic      74
Poynting's vector      81 82
Present, conditional      16
Pressure      57
Privileged observers      127
Product, inner      28 94
Product, outer      94
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