Hamiltonians for Reduced Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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18 pages, revtex, 3 postscript figures included

Scientific paper

10.1103/PhysRevD.56.6284

A generalised canonical formulation of gravity is devised for foliations of
spacetime with codimension $n\ge1$. 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.

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