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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$T
_beng
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019 _a1109457119
020 _a9781108575768
_qelectronic book
020 _a1108575765
_qelectronic book
020 _z9781108480826
020 _z1108480829
020 _a9781108691239
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020 _a1108691234
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035 _a2144038
_b(N$T)
035 _a(OCoLC)1105988953
_z(OCoLC)1109457119
050 4 _aQC174.45
_b.L87 2019
082 0 4 _a530.12
_223
049 _aMAIN
100 1 _aLusanna, L.,
_eauthor.
_912043
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.
264 4 _c�2019
300 _a1 online resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
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
650 0 _aWave equation.
_912045
650 0 _aQuantum field theory.
_912046
650 0 _aGeneral relativity (Physics)
_912047
650 7 _aDirac equation.
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650 7 _aGeneral relativity (Physics)
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_912047
650 7 _aQuantum field theory.
_2fast
_0(OCoLC)fst01085105
_912046
650 7 _aWave equation.
_2fast
_0(OCoLC)fst01172869
_912045
655 0 _aElectronic books.
_93907
655 4 _aElectronic books.
_93907
776 0 8 _iPrint version:
_z9781108480826
830 0 _aCambridge monographs on mathematical physics.
_912048
856 4 0 _3EBSCOhost
_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2144038
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