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

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

2005-06-29

arxiv.org/abs/gr-qc/0506131v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1017/S0305004106009571

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.

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