Contracting T^2 symmetry local existence for Einstein-Vlasov-Scalar field system
General Relativity and Quantum Cosmology
2021-07-22 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2107.10150,
title = {Contracting T^2 symmetry local existence for Einstein-Vlasov-Scalar field system},
author = {A. T. Lassiye and D. Tegankong},
journal= {arXiv preprint arXiv:2107.10150},
year = {2021}
}