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  Kasner-like behaviour for subcritical Einstein-matter systems

Damour, T., Henneaux, M., Rendall, A. D., & Weaver, M. (2002). Kasner-like behaviour for subcritical Einstein-matter systems. Annales Henri Poincare, (3), 1049-1111.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-543A-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-543B-E
Genre: Journal Article

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3040.pdf (Preprint), 563KB
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 Creators:
Damour, Thibault, Author
Henneaux, Marc, Author
Rendall, Alan D.1, Author              
Weaver, Marsha, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: Confirming previous heuristic analyses \''a la Belinskii-Khalatnikov-Lifshitz, it is rigorously proven that certain ''''subcritical Einstein-matter systems exhibit a monotone, generalized Kasner behaviour in the vicinity of a spacelike singularity. The D-dimensional coupled Einstein-dilaton-p-form system is subcritical if the dilaton couplings of the p-forms belong to some dimension dependent open neighbourhood of zero, while pure gravity is subcritical if D is greater than or equal to 11. Our proof relies, like the recent theorem dealing with the (always subcritical) Einstein-dilaton system, on the use of Fuchsian techniques, which enable one to construct local, analytic solutions to the full set of equations of motion. The solutions constructed are ''''general in the sense that they depend on the maximal expected number of freefunctions.

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Language(s): eng - English
 Dates: 2002
 Publication Status: Published in print
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 Identifiers: eDoc: 3040
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Title: Annales Henri Poincare
Source Genre: Journal
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Pages: - Volume / Issue: (3) Sequence Number: - Start / End Page: 1049 - 1111 Identifier: -