Initial boundary value problems for Einstein's field equations and geometric 
uniqueness

Friedrich, Helmut

doi:10.1007/s10714-009-0800-3

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Initial boundary value problems for Einstein's field equations and geometric uniqueness

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Friedrich, Helmut
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0903.5160v1.pdf
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GRG41_1947.pdf
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Citation

Friedrich, H. (2009). Initial boundary value problems for Einstein's field equations and geometric uniqueness. General Relativity and Gravitation, 41(9), 1947-1966. doi:10.1007/s10714-009-0800-3.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-6065-D

Abstract

While there exist now formulations of initial boundary value problems for Einstein's field equations which are well posed and preserve constraints and gauge conditions, the question of geometric uniqueness remains unresolved. For two different approaches we discuss how this difficulty arises under general assumptions. So far it is not known whether it can be overcome without imposing conditions on the geometry of the boundary. We point out a natural and important class of initial boundary value problems which may offer possibilities to arrive at a fully covariant formulation.