On the nature of initial singularities for solutions of the 
Einstein-Vlasov-scalar field system with surface symmetry

Tegankong, D.; Rendall, Alan D.

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On the nature of initial singularities for solutions of the Einstein-Vlasov-scalar field system with surface symmetry

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Rendall, Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Tegankong, D., & Rendall, A. D. (2006). On the nature of initial singularities for solutions of the Einstein-Vlasov-scalar field system with surface symmetry. Mathematical Proceedings of the Cambridge Philosophical Society, 141(3), 547-562.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4B26-0

Abstract

Global existence results in the past time direction of cosmological models with collisionless matter and a massless scalar field are presented. It is shown that the singularity is crushing and that the Kretschmann scalar diverges uniformly as the singularity is approached. In the case without Vlasov matter, the singularity is velocity dominated and the generalized Kasner exponents converge at each spatial point as the singularity is approached.