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arxiv: gr-qc/9603050 · v2 · submitted 1996-03-25 · 🌀 gr-qc

The Gravitational Hamiltonian in the Presence of Non-Orthogonal Boundaries

S. W. Hawking , C. J. Hunter This is my paper
classification 🌀 gr-qc
keywords hamiltonianboundariesboundarynon-orthogonalactionbackgroundcalculatedcontribution
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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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