The initial boundary value problem and quasi-local Hamiltonians in General Relativity
General Relativity and Quantum Cosmology
2021-08-11 v1 Differential Geometry
Abstract
We discuss relations between the initial boundary value problem (IBVP) and quasi-local Hamiltonians in GR. The latter have traditionally been based on Dirichlet boundary conditions, which however are shown here to be ill-posed for the IBVP. We present and analyse several other choices of boundary conditions which are better behaved with respect to the IBVP and carry out a corresponding Hamiltonian analysis, using the framework of the covariant phase space method.
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Cite
@article{arxiv.2103.15673,
title = {The initial boundary value problem and quasi-local Hamiltonians in General Relativity},
author = {Zhongshan An and Michael T. Anderson},
journal= {arXiv preprint arXiv:2103.15673},
year = {2021}
}
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22 pages