The gravitational Hamiltonian in the presence of non-orthogonal boundaries

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Published under licence by IOP Publishing Ltd
, , Citation S W Hawking and C J Hunter 1996 Class. Quantum Grav. 13 2735 DOI 10.1088/0264-9381/13/10/012

0264-9381/13/10/2735

Abstract

This paper generalizes earlier work on Hamiltonian boundary terms by omitting the requirement that the spacelike hypersurfaces intersect the timelike boundary 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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10.1088/0264-9381/13/10/012