The Gravitational Hamiltonian in the Presence of Non-Orthogonal Boundaries

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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23 pages, 1 figure, LaTeX. The action is altered to include a corner term which results in a different value for the non-ortho

Scientific paper

10.1088/0264-9381/13/10/012

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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