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The Gravitational Hamiltonian in the Presence of Non-Orthogonal Boundaries

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arxiv gr-qc/9603050 v2 pith:KKM3KIC7 submitted 1996-03-25 gr-qc

S. W. Hawking , C. J. Hunter This is my paper · ORCID
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keywords hamiltonianboundariesboundarynon-orthogonalactionbackgroundcalculatedcontribution
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abstract

This paper generalizes earlier work on Hamiltonian boundary terms by omitting the requirement that the spacelike hypersurfaces $\Sigma_t$ intersect the timelike boundary $\cal B$ orthogonally. The expressions for the action and Hamiltonian are calculated and the required subtraction of a background contribution is discussed. The new features of a Hamiltonian formulation with non-orthogonal boundaries are then illustrated in two examples.

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Cited by 2 Pith papers

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  2. Quasi-local conserved charges in General Relativity

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    The paper constructs a general prescription for quasi-local conserved charges in GR and proposes the zero-mode BMS charge in Newman-Unti gauge as a quasi-local energy candidate.

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