Future $T^2$ symmetry Einstein-Vlasov-Scalar field system

Abstract

We prove local existence of solutions in the case of cosmological models for the Einstein-Vlasov-scalar field system with $T^2$ symmetry in expanding direction. This proof is based on short-time existence theorems for the partial differential equations resulting from the Einstein-Vlasov-Scalar Field system in areal coordinates. The sources of equations are generated by a distribution function and a scalar field, subject to Vlasov and a nonlinear wave equations respectively.

27 pages

References in corpus (2)

• Global foliations of matter spacetimes with Gowdy symmetry
• On the area of the symmetry orbits in $T^2$ symmetric spacetimes with Vlasov matter