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The gravitational Hamiltonian in the presence of non-orthogonal boundaries

S W Hawking and C J Hunter

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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.


PACS

04.20.Fy Canonical formalism, Lagrangians, and variational principles

04.20.Gz Spacetime topology, causal structure, spinor structure

MSC

83C75 Space-time singularities, cosmic censorship, etc.

14J70 Hypersurfaces

Subjects

Gravitation and cosmology

Dates

Issue 10 (October 1996)

Received 10 April 1996



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