Gravity and BF theory defined in bounded regions
General Relativity and Quantum Cosmology
2009-10-30 v2 High Energy Physics - Theory
Abstract
We study Einstein gravity in a finite spatial region. By requiring a well-defined variational principle, we identify all local boundary conditions, derive surface observables, and compute their algebra. The observables arise as induced surface terms, which contribute to a non-vanishing Hamiltonian. Unlike the asymptotically flat case, we find that there are an infinite number of surface observables. We give a similar analysis for SU(2) BF theory.
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@article{arxiv.gr-qc/9703043,
title = {Gravity and BF theory defined in bounded regions},
author = {Viqar Husain and Seth Major},
journal= {arXiv preprint arXiv:gr-qc/9703043},
year = {2009}
}
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