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

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons20687

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

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Volltexte (frei zugänglich)

0903.5160
(Preprint), 221KB

GRG41_1947pdf.pdf
(Verlagsversion), 226KB

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Zitation

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


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0012-B7FB-B
Zusammenfassung
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.