Kasner-like behaviour for subcritical Einstein-matter systems

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dc.creatorDamour, Thibault
dc.creatorHenneaux, Marc
dc.creatorRendall, Alan D.
dc.creatorWeaver, Marsha
dc.date2002-02-19
dc.date2002-09-02
dc.date.accessioned2026-07-07T03:26:41Z
dc.date.available2026-07-07T03:26:41Z
dc.descriptionConfirming previous heuristic analyses à 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 free functions.
dc.descriptionLaTeX, 56 pages; minor corrections; version to appear in ``Annales Henri Poincaré"
dc.identifierhttps://arxiv.org/abs/gr-qc/0202069
dc.identifierhttp://arxiv.org/abs/gr-qc/0202069
dc.identifierAnnales Henri Poincare 3 (2002) 1049-1111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34139
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleKasner-like behaviour for subcritical Einstein-matter systems
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