000 | 06401cam a2200673Ii 4500 | ||
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001 | on1105988953 | ||
003 | OCoLC | ||
005 | 20241121072754.0 | ||
006 | m d | ||
007 | cr cnu---unuuu | ||
008 | 190628t20192019enk ob 001 0 eng d | ||
040 |
_aN$T _beng _erda _epn _cN$T _dN$T _dUAB _dEBLCP _dCAMBR _dHTM _dCOO _dYDXIT |
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019 | _a1109457119 | ||
020 |
_a9781108575768 _qelectronic book |
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020 |
_a1108575765 _qelectronic book |
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020 | _z9781108480826 | ||
020 | _z1108480829 | ||
020 |
_a9781108691239 _qelectronic book |
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020 |
_a1108691234 _qelectronic book |
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035 |
_a2144038 _b(N$T) |
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035 |
_a(OCoLC)1105988953 _z(OCoLC)1109457119 |
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050 | 4 |
_aQC174.45 _b.L87 2019 |
|
082 | 0 | 4 |
_a530.12 _223 |
049 | _aMAIN | ||
100 | 1 |
_aLusanna, L., _eauthor. _912043 |
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245 | 1 | 0 |
_aNon-inertial frames and Dirac observables in relativity / _cLuca Lusanna (National Institute for Nuclear Physics(INFN), Firenze). |
264 | 1 |
_aCambridge, United Kingdom ; _aNew York, NY : _bCambridge University Press, _c2019. |
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264 | 4 | _c�2019 | |
300 | _a1 online resource. | ||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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490 | 1 | _aCambridge monographs on mathematical physics | |
504 | _aIncludes bibliographical references and subject index. | ||
520 | _aInterpreting general relativity relies on a proper description of non-inertial frames and Dirac observables. This book describes global non-inertial frames in special and general relativity. The first part covers special relativity and Minkowski space time, before covering general relativity, globally hyperbolic Einstein space-time, and the application of the 3+1 splitting method to general relativity. The author uses a Hamiltonian description and the Dirac-Bergmann theory of constraints to show that the transition between one non-inertial frame and another is a gauge transformation, extra variables describing the frame are gauge variables, and the measureable matter quantities are gauge invariant Dirac observables. Point particles, fluids and fields are also discussed, including how to treat the problems of relative times in the description of relativistic bound states, and the problem of relativistic centre of mass. Providing a detailed description of mathematical methods, the book is perfect for theoretical physicists, researchers and students working in special and general relativity. | ||
505 | 0 | _aCover; Half-title; Series information; Title page; Copyright information; Dedication; Contents; Preface; Part I Special Relativity: Minkowski Space-Time; 1 Galilei and Minkowski Space-Times; 1.1 The Galilei Space-Time of Non-Relativistic Physics and Its Inertial and Non-Inertial Frames; 1.2 The Minkowski Space-Time: Inertial Frames, Cartesian Coordinates, Matter, Energy-Momentum Tensor, and Poincar�e Generators; 1.3 The 1+3 Approach to Local Non-Inertial Frames and Its Limitations; 2 Global Non-Inertial Frames in Special Relativity | |
505 | 8 | _a2.1 The 3+1 Approach to Global Non-Inertial Frames and Radar 4-Coordinates2.2 Parametrized Minkowski Theory for Matter Admitting a Lagrangian Description; 3 Relativistic Dynamics and the Relativistic Center of Mass; 3.1 The Wigner-Covariant Rest-Frame Instant Form of Dynamics for Isolated Systems; 3.2 The Relativistic Center-of-Mass Problem; 3.3 The Elimination of Relative Times in Relativistic Systems of Particles and in Relativistic Bound States; 3.4 Wigner-Covariant Quantum Mechanics of Point Particles; 3.5 The Non-Inertial Rest-Frames; 4 Matter in the Rest-Frame Instant Form of Dynamics | |
505 | 8 | _a4.1 The Klein-Gordon Field4.2 The Electromagnetic Field and Its Dirac Observables; 4.3 Relativistic Atomic Physics; 4.4 The Dirac Field; 4.5 Yang-Mills Fields; 4.6 Relativistic Fluids, Relativistic Micro-Canonical Ensemble, and Steps toward Relativistic Statistical Mechanics; 4.6.1 The Relativistic Perfect Fluid; 4.6.2 The Relativistic Micro-Canonical Ensemble; 4.6.3 Steps towards Relativistic Statistical Mechanics; Part II General Relativity: Globally Hyperbolic Einstein Space-Times; 5 Hamiltonian Gravity in Einstein Space-Times | |
505 | 8 | _a5.1 Global 3+1 Splittings of Globally Hyperbolic Space-Times without Super-Translations and Asymptotically Minkowskian at Spatial Infinity Admitting a Hamiltonian Formulationof Gravity5.2 The ADM Hamiltonian Formulation of Einstein Gravity and the Asymptotic ADM Poincar�e Generators in the Non-Inertial Rest-Frames; 6 ADM Tetrad Gravity and Its Constraints; 6.1 ADM Tetrad Gravity, Its Hamiltonian Formulation, and Its First-Class Constraints; 6.2 The Shanmugadhasan Canonical Transformation to the York Canonical Basis for the Search of the Dirac Observables of the Gravitational Field | |
505 | 8 | _a6.3 The Non-Harmonic 3-Orthogonal Schwinger Time Gauges and the Metrological Interpretation of the Inertial Gauge Variables6.4 Point Particles and the Electromagnetic Field as Matter; 7 Post-Minkowskian and Post-Newtonian Approximations; 7.1 The Post-Minkowskian Approximation in the 3-Orthogonal Gauges; 7.2 The Post-Newtonian Expansion of the Post-Minkowskian Linearization; 7.3 Dark Matter as a Relativistic Inertial Effect and Relativistic Celestial Metrology; 7.3.1 Masses of Clusters of Galaxies from the Virial Theorem | |
588 | _aDescription based on online resource; title from digital title page (viewed on August 07, 2019). | ||
590 | _aMaster record variable field(s) change: 050 | ||
650 | 0 |
_aDirac equation. _912044 |
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650 | 0 |
_aWave equation. _912045 |
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650 | 0 |
_aQuantum field theory. _912046 |
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650 | 0 |
_aGeneral relativity (Physics) _912047 |
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650 | 7 |
_aDirac equation. _2fast _0(OCoLC)fst00894514 _912044 |
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650 | 7 |
_aGeneral relativity (Physics) _2fast _0(OCoLC)fst00939815 _912047 |
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650 | 7 |
_aQuantum field theory. _2fast _0(OCoLC)fst01085105 _912046 |
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650 | 7 |
_aWave equation. _2fast _0(OCoLC)fst01172869 _912045 |
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655 | 0 |
_aElectronic books. _93907 |
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655 | 4 |
_aElectronic books. _93907 |
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776 | 0 | 8 |
_iPrint version: _z9781108480826 |
830 | 0 |
_aCambridge monographs on mathematical physics. _912048 |
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856 | 4 | 0 |
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