Hamiltonian approach to GR – Part 1: covariant theory of classical gravity
Abstract
A challenging issue in General Relativity concerns the determination of the manifestly covariant continuum Hamiltonian structure underlying the Einstein field equations and the related formulation of the corresponding covariant Hamilton–Jacobi theory. The task is achieved by adopting a synchronous variational principle requiring distinction between the prescribed deterministic metric tensor
- Publication:
-
European Physical Journal C
- Pub Date:
- May 2017
- DOI:
- 10.1140/epjc/s10052-017-4854-1
- arXiv:
- arXiv:1609.04426
- Bibcode:
- 2017EPJC...77..329C
- Keywords:
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- Canonical Transformation;
- Jacobi Equation;
- Hamiltonian Structure;
- Potential Density;
- Gauge Function;
- General Relativity and Quantum Cosmology
- E-Print:
- Eur. Phys. J. C (2017) 77:329