Kasner-Like Behaviour for Subcritical Einstein-Matter Systems
Abstract.Confirming 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 neighborhood of zero [1], while pure gravity is subcritical if D ≥ 11 [13]. Our proof relies, like the recent Theorem [15] dealing with the (always subcritical [14]) 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.
Similar content being viewed by others Explore related subjectsDiscover the latest articles and news from researchers in related subjects, suggested using machine learning. Author information Authors and AffiliationsInstitut des Hautes Etudes Scientifiques, 35, Route de Chartres, F-91440 Bures-sur-Yvette, France, e-mail: damour@ihes.fr, , , , , , FR
T. Damour
Physique Théorique et Mathématique, Université Libre de Bruxelles, C.P. 231, B-1050 Bruxelles, Belgium, e-mail: henneaux@ulb.ac.be, , , , , , BE
M. Henneaux
Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Golm, Germany, e-mail: rendall@aei-postdam.mpg.de, , , , , , DE
A. D. Rendall
Physique Théorique et Mathématique, Université Libre de Bruxelles, C.P. 231, B-1050 Bruxelles, Belgium, e-mail: weaver@ulb.ac.be, , , , , , BE
M. Weaver
Submitted 19/02/02, accepted 15/07/02
RID="h1"
ID="h1"Communicated by Sergiu Klainerman
About this article Cite this articleDamour, T., Henneaux, M., Rendall, A. et al. Kasner-Like Behaviour for Subcritical Einstein-Matter Systems. Ann. Henri Poincaré 3, 1049–1111 (2002). https://doi.org/10.1007/s000230200000
Issue Date: December 2002
DOI: https://doi.org/10.1007/s000230200000
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