Misner C.W., Thorne K.S., Wheeler J.A. — Gravitation :: Электронная библиотека попечительского совета мехмата МГУ

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Misner C.W., Thorne K.S., Wheeler J.A. — Gravitation

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Название: Gravitation

Авторы: Misner C.W., Thorne K.S., Wheeler J.A.

Аннотация:

Put as simply as possible, this is a book on Einstein's theory of gravity (general relativity). It is the first textbook on the subject that uses throughout the modern formalism and notation of differential geometry, and it is the first book to document in full the revolutionary techniques developed during the past decade to test the theory of general relativity.

Язык:

Рубрика: Физика/Гравитационное взаимодействие/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1971

Количество страниц: 1278

Добавлена в каталог: 22.09.2005

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Предметный указатель

Motion      see “Equations of motion”
Moving frame      see “Tetrad”
Multicomponent fluid      558
Multipole expansion of Newtonian potential      991
Multipole moments of Kerr — Newman black hole      883 892
Near zone for radiation theory      997 999—1000
Neutral stability      697
Neutrinos damp anisotropy of expansion      803
Neutrinos emitted in stellar collapse      599
Neutrinos formalism for analyzing in curved spacetime      1164
Neutrinos from big-bang      712 736—737 764—765
Neutrinos redshift when emitted by a collapsing star      850
Neutrinos transport energy in collapsing star      628
Neutron stars      619f 622
Neutron stars as source of gravitational waves      983 986 1040
Neutron stars creation by stellar collapse      627—629
Neutron stars mass limits      627
Neutron stars models for      625—627
Neutron stars pulsation of      628
Neutron stars pulsation of as source of gravitational waves      982—986
Neutron stars rotation of      628
Neutron stars stability of      626—627 696
Neutron-star matter      599
Neutron-star matter equations of state for      624—626
Neutron-star matter idealized as simple fluid      558
Newman — Penrose constants      870f
Newton — Cartan theory of gravity contrasted with Einstein’s theory      3ff 197 245 297f 302f
Newton — Cartan theory of gravity incompatibility with special relativity      177 304
Newton — Cartan theory of gravity standard Newtonian formulation of in brief      177 301
Newton — Cartan theory of gravity standard Newtonian formulation of in brief as approximation to general relativity      412—416
Newton — Cartan theory of gravity standard Newtonian formulation of in brief as approximation to metric theories of gravity      1077f 1097
Newton — Cartan theory of gravity standard Newtonian formulation of in brief stress tensor for Newtonian gravitational field      1078f
Newton — Cartan theory of gravity standard Newtonian formulation of in brief useful formulas and computational techniques      1078f
Newton — Cartan theory of gravity standard Newtonian formulation of in brief virial theorems      1079
Newton — Cartan theory of gravity, Cartan’s curved-spacetime formulation of in brief, in coordinate-free language      300f
Newton — Cartan theory of gravity, Cartan’s curved-spacetime formulation of in brief, in language of Galilean coordinates      289f
Newton — Cartan theory of gravity, Cartan’s curved-spacetime formulation of in exlenso      Chap. 12
Newton — Cartan theory of gravity, Cartan’s curved-spacetime formulation of transition between languages      298f
Newton — Cartan theory of gravity, Cartan’s curved-spacetime formulation of transition between Newton formulation and Cartan formulation      289f 299
Newtonian experiments      1067
Noise, extraction of signals from      1036ff (see also “Gravitational-wave detectors”)
Nonlocalizability of gravitational energy      see under “Mass-energy total”;
Nonorientable surface      96
Nordstrom’s theories of gravity      see under “Gravitation theories
Nordtvedt effect      1128—1131
Norm of a p-form      97
Normal coordinate system      1055
Normal, unit normal in terms of lapse and shift      508
Nothing, as foundation of everything Leibniz on      1219
Nothing, as foundation of everything Leibniz on calculus of propositions as a later model for      1209 1211—1212
Nothing, as foundation of everything Leibniz on geometrodynamics as early model for      1202—1203
Novikov coordinates      826f
Nuclear burning in stars catalyzed to endpoint      624—626
Nuclear burning in stars drives pulsational instability      632
Nuclear burning in stars formulation of thermodynamics in presence of      558
Nuclear burning in stars HCNO cycle      632
nuclear matter      see “Neutron-star matter”
Nucleosynthesis in big bang      760 762
Null experiments      1050 1064
Number space      241
Number-flux relation, in cosmology      798
Number-flux vector for photons in geometric optics limit      580
Number-flux vector introduced      138—139
Observational cosmology      Chap. 29 (see under “Cosmology”)
Olber’s paradox      756
One-form      see under “Forms differential”
Oppenheimer — Snyder model for collapsing star      851—856
Oppenheimer — Volkoff equation of hydrostatic equilibrium      605
Optics      see “Geometric optics”
Orbit      see “Keplerian orbits” “Planetary e.g. Number-flux
Orientation of forms 1-form, illustrated      55
Orientation of forms 2-form, illustrated      100 104 107 109 116
Orientation of forms 3-form      117
Orientation of space, embodied in duality operation      97
Orientation of volumes      133 135f 147—150
Orientation relative, of domain and its boundary      96
Pair production at high lemperatures      558
Pair production by photon      70
Pair production by tidal gravitational forces      750 769 803f 816
Pair production damps anisotropies of geometry      769 803f
Pairs free-fall of experimental      1054
Pairs in early stages of standard cosmological-model      736f 764
Parallax      757
Parallel transport equation of summarized      224
Parallel transport illustrated      209 212
Parallel transport in brief      208f
Parallel transport in extenso      245—263
Parallelepiped, trivector and 1-form representation of      133 135—136
Parametrization, of geodesic      244—246
Parametrized post-Newtonian formalism, accuracy and realm of validity      1069 1072f 1075
Parametrized post-Newtonian formalism, applications of Cavendish gravitational constant derived      1125f
Parametrized post-Newtonian formalism, applications of deflection of electromagnetic waves by sun      1101ff
Parametrized post-Newtonian formalism, applications of equation of motion for a spinning body      1120f
Parametrized post-Newtonian formalism, applications of gravitational field of isolated, spherical sun      1097ff
Parametrized post-Newtonian formalism, applications of gravitational field of rotating Earth      1119
Parametrized post-Newtonian formalism, applications of gravitational field of sun with quadrupole moment      1115
Parametrized post-Newtonian formalism, applications of many-body (“EIH”) equations of motion      1091 1094f
Parametrized post-Newtonian formalism, applications of perihelion shift      1110—1116
Parametrized post-Newtonian formalism, applications of precession of a gyroscope      1117—1120
Parametrized post-Newtonian formalism, applications of propagation of light and radio waves      1099—1109
Parametrized post-Newtonian formalism, applications of radar time-delay in sun’s gravitational field      1103 1106—1109
Parametrized post-Newtonian formalism, applications of three-body effects in lunar orbit      1116
Parametrized post-Newtonian formalism, applications of total mass-energy of a body calculated      1091 1094 1099 1125f
Parametrized post-Newtonian formalism, applications of why high-speed particle moiion probes only the parameter y      1099ff
Parametrized post-Newtonian formalism, described qualitatively      1049 1068f 1072f
Parametrized post-Newtonian formalism, description of matter stress-energy tensor      1086f
Parametrized post-Newtonian formalism, description of matter thermodynamic functions in      1074f
Parametrized post-Newtonian formalism, description of matter transformation between coordinate frame and rest frame of matter      1087
Parametrized post-Newtonian formalism, description of matter velocity of matter      1073f 1086
Parametrized post-Newtonian formalism, equations of motion for matter      1087ff
Parametrized post-Newtonian formalism, equations of motion for matter baryon (rest mass) conservation      1088
Parametrized post-Newtonian formalism, equations of motion for matter energy conservation law      1088
Parametrized post-Newtonian formalism, equations of motion for matter Euler equation      1088
Parametrized post-Newtonian formalism, foundations of coordinates of      1073f 1082—1087 1089 1091 1097
Parametrized post-Newtonian formalism, foundations of expansion parameters and their magnitudes in the solar system      1068 1075
Parametrized post-Newtonian formalism, foundations of expansion procedure      1075ff
Parametrized post-Newtonian formalism, foundations of metric coefficients, pattern of      1076f 1080 1100
Parametrized post-Newtonian formalism, foundations of radiation, zone excluded from      1075
Parametrized post-Newtonian formalism, foundations of shear stresses typically negligible      1074f
Parametrized post-Newtonian formalism, foundations of time derivatives small compared to space derivatives      1075
Parametrized post-Newtonian formalism, history of      1049 1073
Parametrized post-Newtonian formalism, matter generates gravity Christoffel symbols      1089
Parametrized post-Newtonian formalism, matter generates gravity gravitational potentials (functions appearing in metric)      1080f 1085
Parametrized post-Newtonian formalism, matter generates gravity identities relating potentials to each other      1082 1089
Parametrized post-Newtonian formalism, matter generates gravity metric coefficients, precise form of      1084f
Parametrized post-Newtonian formalism, matter generates gravity nonlinear superposition of gravitational fields      1096
Parametrized post-Newtonian formalism, metric theories encompassed by and not encompassed by      1069
Parametrized post-Newtonian formalism, notation      1073f 1092f
Parametrized post-Newtonian formalism, parameters denned precisely      1080f
Parametrized post-Newtonian formalism, parameters described qualitatively      1069 1072
Parametrized post-Newtonian formalism, parameters translated from one convention to another      1093
Parametrized post-Newtonian formalism, parameters values for several theories      1072
Parametrized post-Newtonian formalism, parameters, experimental limits on $\alpha_2-\Delta_2+\zeta-1$       1124
Parametrized post-Newtonian formalism, parameters, experimental limits on $\alpha_3 = 4\beta,-2\gamma-2-\zeta$       1114
Parametrized post-Newtonian formalism, parameters, experimental limits on $\alpha_3=4\beta,-2\gamma-2-\zeta$       1125
Parametrized post-Newtonian formalism, parameters, experimental limits on $\beta$       1111 1113
Parametrized post-Newtonian formalism, parameters, experimental limits on $\gamma$       1103 1105 1108f
Parametrized post-Newtonian formalism, post-Galilean transformations, and invariance      1085
Parametrized post-Newtonian formalism, summary of technical details      1092
Parametrized post-Newtonian formalism, velocity of coordinate frame relative to universal preferred frame      1083f 1098 1114
Partial differential equations, applications of differential geometry to      198
Partial differential equations, rationale of analyzing      485
Particle-physics experiments as tests of special relativity      1054f 1060
Particles      see “Pairs”; “Conservation laws”
Passive vs. active transformations      1140
path integral      see “Feynman’s sum over histories”
Pauli principle, as test of Riemannian geometry      398—399
Perfect cosmological principle      745
Perfect fluid defined      132 140
Perfect fluid stress-energy tensor for      132 140

Perihelion shift      391f
Perihelion shift Einstein on      433
Perihelion shift for nearly circular orbits in exact Schwarzschild geometry      670
Perihelion shift in linearized (spin-2) theory      183f 446
Perihelion shift in post-Newtonian limit of general relativity      1110—1116
Perihelion shift in PPN formalism      1110—1116
Perihelion shift in spin-0 and spin-l theories of gravity      179
Perihelion shift observational data on      1112f
Permutation tensor (same as alternating tensor)      126 128f 207 343
Perturbation theory for spacetime geometry applications pulsation of relativistic stars      688—699
Perturbation theory for spacetime geometry applications shortwave approximation for gravitational waves      964—973
Perturbation theory for spacetime geometry applications slow rotation of a star      699
Perturbation theory for spacetime geometry applications stability analyses of Schwarzschild and Kerr holes      884f
Perturbation theory for spacetime geometry applications to collapsing star      844ff
Perturbation theory for spacetime geometry applications to Friedmann cosmology      800f
Perturbation theory for spacetime geometry general formalism action principle for metric perturbations, in vacuum      972f
Perturbation theory for spacetime geometry general formalism connection coefficients in terms of metric perturbation      966—967
Perturbation theory for spacetime geometry general formalism curvature tensors in terms of metric perturbations      966—967
Perturbation theory for spacetime geometry general formalism gauge transformations      967ff
Perturbation theory for spacetime geometry general formalism stress-energy of metric perturbations in shortwave limit      969
Petrov — Pirani classification of spacetimes      902
Phase space      126 584f 590
Phase, in geometric optics      571f 574f
Phase, of de Broglie wave      53—55
Photons in geometric optics      580
Photons kinetic-theory description of      587—589
Photons splitting, forbidden for plane wave      70
Photons world lines of      388
Physical optics, correspondence with geometric optics      412
Piercing of surfaces, of a form      55f 60 99 202 231
Piezoelectric strain transducer      401
Pit in the potential      636—637
Planck length defined      10
Planck length relevance to fluctuations in geometry      10 1180 1192ff
Plane electromagnetic waves in curved spacetime      961—962
Plane gravitational waves in linearized theory      945f 949 1004ff
Plane gravitational waves, exact comparison with exact electromagnetic plane wave      961—963
Plane gravitational waves, exact effect on test particles      960—961
Plane gravitational waves, exact field equations and solution for a pulse of waves      958—959
Plane gravitational waves, exact form of metric      957
Plane gravitational waves, exact global structure of spacetime      958—960
Plane gravitational waves, exact in language of shortwave approximation      962—963
Plane gravitational waves, exact linearized limit of      958
Plane gravitational waves, exact Riemann curvature of      959
Plane gravitational waves, exact stress-energy of      963
Planetary orbits deviations from geodesic motion      1111 1126—1131 “Perihelion
Planetary orbits periodic relativistic effects in      1009 1011
Plateau, problem of      877
Poincare transformation      68
Poisson bracket      654
Poisson bracket generalized      486
Poisson’s equation for Newtonian gravitational potential      290 299 301
Polarization of a gravitational wave circular      953f
Polarization of a gravitational wave compared with that of an electromagnetic wave      952—954
Polarization of a gravitational wave elliptical      955
Polarization of a gravitational wave line-of-force diagram      1011—1012
Polarization of a gravitational wave parallel transport of in geometric-optics limit      971
Polarization of a gravitational wave plane (linear)      952f
Polarization of a gravitational wave rotational transformation of states      954
Polarization of a gravitational wave tensors denned      953f 971
Polarization of a neutrino      954
Polarization of radiation fields with arbitrary spin      954—955
Polarization vector for electromagnetic waves      573ff 577f 581
Positive sense      see “Orientation”
Post — Galilean transformations      1085
Post — Newtonian approximation to general relativity      1069
Post — Newtonian approximation to general relativity derived by post-Newtonian expansion of field equations      1089f
Post — Newtonian approximation to general relativity many-body (“EIH”) equations of motion      1091 1094f
Post — Newtonian approximation to general relativity obtained from PPN formalism      1073
Post — Newtonian approximation to general relativity stellar structure and stability analyzed using      1073
Post-Newtonian expansion procedure      1075ff (see also “Parametrized post-Newtonian formalism”
Post-post-Newtonian approximation      1069 1077
Potentials, effective      see “Effective potentials”
Pound-Rebka-Snider experiment      1056ff
Poynting flux      122 140f 481 550
Precession component, of Einstein field      547
Precession of perihelion      see “Perihelion”
Precession of spin axis      see under “Spinning body”
Preferred-frame effects, experiments to search for      1098 1113f
Preferred-frame theories of gravity      1083 1093 1098 1123ff
Pregeometry      1203—1212 passim
Pregeometry as calculus of propositions      1208—1209 1211—1212
Pressure, in stress-energy tensor for a perfect fluid      132
Price’s theorem      863 866
Primordial fireball      see “Cosmic microwave radiation”
Principal null congruences of Weyl tensor defined      902
Principal null congruences of Weyl tensor defined for Kerr — Newman geometry      901—904
Prior geometry      429ff 1068 1070f
Probability amplitude for a history      419
Probability amplitude phase of given by action      486 491
Projection operator for transverse-traceless part of a tensor      948
Projection tensors      565f
Propagator, mentioned      120
Proper distance      see “Interval” “Lorentz”
Proper reference frame of an accelerated (or unaccelerated) observer, applied to analysis of gravitational-wave detector      1005—1010 1012
Proper reference frame of an accelerated (or unaccelerated) observer, applied to definition of thermodynamic potentials      557f
Proper reference frame of an accelerated (or unaccelerated) observer, connection coefficients      330f
Proper reference frame of an accelerated (or unaccelerated) observer, constructed      327—332
Proper reference frame of an accelerated (or unaccelerated) observer, inertial and Coriolis forces      332
Proper reference frame of an accelerated (or unaccelerated) observer, metric      331f
Proper time      see “Interval” “Lorentz”
Pseudotensors of stress-energy for gravitational field      465f
Pseudotensors of stress-energy for gravitational field do not localize gravitational energy      466f
Pseudotensors of stress-energy for gravitational field for waves, averaging gives stress-energy tensor      972
Pseudotensors of stress-energy for gravitational field order of magnitude of      996 999f
Pseudotensors of stress-energy for gravitational field used in analyzing generation of gravitational waves      996—999
Pulsars discovery of      620 762
Pulsars experimental tests of general relativity using      1047
Pulsars in idealized experiment on “prior geometry”      430 (see also “Neutron stars”)
Pulsars theory of      628 630
Pulsars timing data as a probe of neutron-star structure      628 630
Q of an oscillator      1025
Quadrupole moment      977
Quadrupole moment coupling to curvature produces departures from geodesic motion      476—480
Quadrupole moment coupling to curvature produces precession of spin axis      391f
Quadrupole moment reduced      977
Quadrupole moment reduced and generation of gravitational waves      975 991—994
Quadrupole moment reduced as coefficient in 1/r expansion of Newtonian potential      991
Quadrupole moment reduced as integral over mass distribution      975 977
Quadrupole moment reduced as trace-free part of second moment of mass distribution      977
Quadrupole-moment parameter for sun,       1112f 1115
Quantum fluctuations and zero-point energy of particles and fields, as responsible for gravity      426ff
Quantum fluctuations in electromagnetic field      427 1190f
Quantum fluctuations in geometry of spacetime      419 480 1190—1194 1202
Quantum geometrodynamics commutation of observables in, on spacelike hypersurface      554
Quantum geometrodynamics ideas of Penrose and Hawking on      936 938 940 “Quantum
Quantum propagator      1194
Quantum theory angular momentum commutators      236
Quantum theory correspondence principle      413
Quantum theory general operators      236
Quantum theory particle self-energies      474f
Quasars      761f
Quasars distances to, controversy over      767
Quasars evolution of population      767f 770
Quasars models for energy source      634—635 687
Quasars use in experimental tests of general relativity      1047f 1061 1101 1103ff
Quaternions      see “Spin matrices”
Radar time delay in Sun’s gravitational field      1048 1103 esp.
Radiation reaction      474 993f
Radiation zone      997
Radiation, description of spectrum      588
Radiation, description of spectrum conservation of $I_{\nu}/\nu^3$ (Liouville’s theorem)      587—588
Radiation, description of spectrum flux F defined      782
Radiation, description of spectrum redshift of temperature of black-body radiation      588
Radiation, description of spectrum specific flux $F_{\nu}$ defined      1025
Radiation, description of spectrum specific intensity $I_{\nu}$ defined      587 589
Radiation, electromagnetic and causality      110
Radiation, electromagnetic of oscillating dipole      111—112
Radiation, electromagnetic pictorial explanation of 1/r behavior      110f
Radiation, gravitational      see “Gravitational waves”

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