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  Constant mean curvature foliations in cosmological spacetimes

Rendall, A. D. (1996). Constant mean curvature foliations in cosmological spacetimes. Helvetica Physica Acta, 69, 490-500.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5B71-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5B72-1
Genre: Journal Article

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constant.pdf (Preprint), 115KB
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 Creators:
Rendall, Alan D.1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: Foliations by constant mean curvature hypersurfaces provide a possibility of defining a preferred time coordinate in general relativity. In the following various conjectures are made about the existence of foliations of this kind in spacetimes satisfying the strong energy condition and possessing compact Cauchy hypersurfaces. Recent progress on proving these conjectures under supplementary assumptions is reviewed. The method of proof used is explained and the prospects for generalizing it discussed. The relations of these questions to cosmic censorship and the closed universe recollapse conjecture are pointed out.

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Language(s): eng - English
 Dates: 1996
 Publication Status: Published in print
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 Identifiers: eDoc: 330137
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Title: Helvetica Physica Acta
  Alternative Title : Helv.Phys.Acta
Source Genre: Journal
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Pages: - Volume / Issue: 69 Sequence Number: - Start / End Page: 490 - 500 Identifier: -