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

DOI10.1142/S0219887814500534zbMath1301.83030arXiv1401.1375OpenAlexW2964294401MaRDI QIDQ2925870

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/1401.1375

zbMATH Keywords

Weyl tensorDirac observablesWeyl scalarsBergmann observablescanonical ADM tetrad gravityDirac observables (DOs) of canonical gravityWeyl eigenvaluesYork 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 (2)

Dust in the York canonical basis of ADM tetrad gravity: The problem of vorticity ⋮ Killing symmetries as Hamiltonian constraints

Cites Work

• A complete set of Riemann invariants
• 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
• Hamiltonian expression of curvature tensors in the York canonical basis: (I) Riemann tensor and Ricci scalars
• Advanced General Relativity
• SECOND ORDER SCALAR INVARIANTS OF THE RIEMANN TENSOR: APPLICATIONS TO BLACK HOLE SPACETIMES
• General Relativity
• The rest-frame instant form of metric gravity.

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