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

TL;DR

This paper investigates the nature of initial singularities in cosmological models with collisionless matter and scalar fields, showing divergence of curvature scalars and describing the singularity's properties.

Contribution

It provides new results on the global existence and detailed behavior of solutions near singularities in Einstein-Vlasov-scalar field systems with surface symmetry.

Findings

Singularity is crushing with diverging Kretschmann scalar.

Without Vlasov matter, the singularity is velocity dominated.

Generalized Kasner exponents converge at each spatial point.

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.