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arXiv · 2106.03966

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

A. T. Lassiye·D. Tegankong
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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.

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A. T. Lassiye, D. Tegankong. 2021-06-07. Future $T^2$ symmetry Einstein-Vlasov-Scalar field system. https://arxiv.org/abs/2106.03966

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