THE CHRONO-GEOMETRICAL STRUCTURE OF SPECIAL AND GENERAL RELATIVITY: A RE-VISITATION OF CANONICAL GEOMETRODYNAMICS

DOI10.1142/S0219887807001874zbMath1117.83095arXivgr-qc/0604120MaRDI QIDQ3435119

Luca Lusanna

Publication date: 25 April 2007

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0604120

zbMATH Keywords

relativitygeometrodynamicsequivalence principle

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Special relativity (83A05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (5)

Hamiltonian ADM Gravity in Non-Harmonic Gauges with Well Defined Non-Euclidean 3-Spaces: How Much Darkness can be Explained as a Relativistic Inertial Effect? ⋮ GENERALIZED RADAR 4-COORDINATES AND EQUAL-TIME CAUCHY SURFACES FOR ARBITRARY ACCELERATED OBSERVERS ⋮ The relativity of inertia and reality of nothing ⋮ Non-inertial Frames in Special and General Relativity ⋮ Relativistic quantum mechanics and relativistic entanglement in the rest-frame instant form of dynamics

Cites Work

• Unnamed Item
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• The York map is a canonical transformation
• Hamiltonian linearization of the rest-frame instant form of tetrad gravity in a completely fixed 3-orthogonal Gauge: A radiation Gauge for background-independent gravitational waves in a Post-Minkowskian Einstein spacetime
• The N- and 1-Time Classical Descriptions of N-Body Relativistic Kinematics and the Electromagnetic Interaction
• THE SHANMUGADHASAN CANONICAL TRANSFORMATION, FUNCTION GROUPS AND THE EXTENDED SECOND NOETHER THEOREM
• Gribov degeneracies: Coulomb gauge conditions and initial value constraints
• GAUGE-INVARIANT FORMULATION OF QUANTUM ELECTRODYNAMICS
• Observables in General Relativity
• Lagrangian and Hamiltonian many-time equations
• On the many-time formulation of classical particle dynamics
• Dirac observables and spin bases forNrelativistic particles
• Advanced General Relativity
• DIRAC'S OBSERVABLES FOR THE SU(3)×SU(2)×U(1) STANDARD MODEL
• Canonical formalism for degenerate Lagrangians
• Dynamical body frames, orientation-shape variables and canonical spin bases for the nonrelativistic N-body problem
• Centers of mass and rotational kinematics for the relativistic N-body problem in the rest-frame instant form
• DIRAC FIELDS ON SPACELIKE HYPERSURFACES, THEIR REST-FRAME DESCRIPTION AND DIRAC OBSERVABLES
• Hamilton–Jacobi theory for constrained systems
• QUANTUM MECHANICS IN NONINERTIAL FRAMES WITH A MULTITEMPORAL QUANTIZATION SCHEME II: NONRELATIVISTIC PARTICLES
• Loop quantum gravity: an outside view
• Forms of Relativistic Dynamics
• General Relativity
• The rest-frame instant form of metric gravity.

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