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  Global Prescribed Mean Curvature foliations in cosmological spacetimes I

Henkel, O. (2002). Global Prescribed Mean Curvature foliations in cosmological spacetimes I. Journal of Mathematical Physics, 43, 2439-2465.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5527-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5528-E
Genre: Journal Article

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 Creators:
Henkel, Oliver1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: This work investigates some global questions about cosmological space-times with two-dimensional spherical, plane, and hyperbolic symmetry containing "well-behaved" matter. The result is that these space-times admit a global foliation by prescribed mean curvature surfaces, which extends at least toward a crushing singularity. The time function of the foliation is geometrically defined and unique up to the choice of an initial Cauchy surface. This work generalizes a similar analysis on constant mean curvature foliations and avoids the topological obstructions arising from the existence problem. (C) 2002 American Institute of Physics.

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Language(s): eng - English
 Dates: 2002
 Publication Status: Published in print
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 Identifiers: eDoc: 2760
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Title: Journal of Mathematical Physics
Source Genre: Journal
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Pages: - Volume / Issue: 43 Sequence Number: - Start / End Page: 2439 - 2465 Identifier: -