Hamiltonians for Reduced Gravity

Abstract

A generalised canonical formulation of gravity is devised for foliations of spacetime with codimension $n\ge 1$. The new formalism retains n-dimensional covariance and is especially suited to 2+2 decompositions of spacetime. It is also possible to use the generalised formalism to obtain boundary contributions to the 3+1 Hamiltonian.

18 pages, revtex, 3 postscript figures included

References in corpus (4)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
• The Gravitational Hamiltonian in the Presence of Non-Orthogonal Boundaries
• Covariant double-null dynamics: $(2+2)$-splitting of the Einstein equations

Cited by in corpus (4)

• Do Killing-Yano tensors form a Lie Algebra?
• Covariant canonical quantization of fields and Bohmian mechanics
• Quantum Mechanics on Moduli Spaces
• Black hole perturbation under 2 + 2 decomposition in the action