Canonical phase space formulation of quasi-local general relativity

Booth, Ivan and Fairhurst, Stephen ORCID: https://orcid.org/0000-0001-8480-1961 2003. Canonical phase space formulation of quasi-local general relativity. Classical and Quantum Gravity 20 (21) , pp. 4507-4531. 10.1088/0264-9381/20/21/001

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Abstract

We construct a Hamiltonian formulation of quasi-local general relativity using an extended phase space that includes boundary coordinates as configuration variables. This allows us to use Hamiltonian methods to derive an expression for the energy of a non-isolated region of spacetime that interacts with its neighbourhood. This expression is found to be very similar to the Brown–York quasi-local energy that was originally derived by Hamilton–Jacobi methods. We examine the connection between the two formalisms and find that when the boundary conditions for the two are harmonized, the resulting quasi-local energies are identical.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Publisher:	Institute of Physics
ISSN:	0264-9381
Last Modified:	21 Oct 2022 09:22
URI:	https://orca.cardiff.ac.uk/id/eprint/36124

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