Hamiltonian expression of curvature tensors in the York canonical basis: (I) Riemann tensor and Ricci scalars

DOI10.1142/S0219887814500522zbMath1301.83029arXiv1401.1370OpenAlexW2963998368MaRDI QIDQ2925869

Mattia Villani, Luca Lusanna

Publication date: 29 October 2014

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

Full work available at URL: https://arxiv.org/abs/1401.1370

zbMATH Keywords

Newman-Penrose formalismnull tetradADM tetrad gravityYork canonical basis

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Quantum measurement theory, state operations, state preparations (81P15) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (1)

Hamiltonian expression of curvature tensors in the York canonical basis: (II) Weyl tensor, Weyl scalars, Weyl eigenvalues and the problem of the observables of the gravitational field

Cites Work

• Unnamed Item
• A new parametrization for tetrad gravity
• Dirac's observables for the rest-frame instant form of tetrad gravity in a completely fixed 3-orthogonal gauge
• The York map as a Shanmugadhasan canonical transformation in tetrad gravity and the role of non-inertial frames in the geometrical view of the gravitational field
• GENERALIZED RADAR 4-COORDINATES AND EQUAL-TIME CAUCHY SURFACES FOR ARBITRARY ACCELERATED OBSERVERS
• Advanced General Relativity
• General Relativity
• The rest-frame instant form of metric gravity.

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