The gravitational Hamiltonian in the presence of non-orthogonal boundaries
This paper generalizes earlier work on Hamiltonian boundary terms by omitting the requirement that the spacelike hypersurfaces 0264-9381/13/10/012/img1 intersect the timelike boundary 0264-9381/13/10/012/img2 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.
Classical and Quantum Gravity
- Pub Date:
- October 1996
- General Relativity and Quantum Cosmology
- 23 pages, 1 figure, LaTeX. The action is altered to include a corner term which results in a different value for the non-orthogonal term. An additional appendix with Euclidean results is included. To appear in Class. Quant. Grav