arXiv subjects

D. Tegankong

Publications and source records attributed to D. Tegankong.

2 recordsLinked to original sources

arXiv2021

Contracting T^2 symmetry local existence for Einstein-Vlasov-Scalar field system

The evolution of self-gravitating collision-less matter and scalar waves within the general relativity context is described by Einstein and Vlasov equations. The sources of Einstein equations are generated by a distribution function and a scalar field, respectively subject to the Vlasov and wave equations. We prove in contracting T^2 symmetry case, a local in time existence of solutions.

gr-qc↗

arXiv2021

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

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.

gr-qc↗