The initial boundary value problem and quasi-local Hamiltonians in General Relativity
arXiv:2103.15673 · doi:10.1088/1361-6382/ac0a86
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.
22 pages