Contracting T^2 symmetry local existence for Einstein-Vlasov-Scalar field system
A. T. Lassiye, D. Tegankong
TL;DR
This paper proves local in time existence of solutions for the Einstein-Vlasov-Scalar field system under contracting T^2 symmetry, advancing understanding of self-gravitating matter and scalar waves in general relativity.
Contribution
It establishes the first local existence result for this coupled system with contracting T^2 symmetry, combining Einstein, Vlasov, and scalar wave equations.
Findings
Proved local existence of solutions in contracting T^2 symmetry case.
Analyzed the coupled Einstein-Vlasov-Scalar field system.
Extended mathematical understanding of self-gravitating matter and scalar fields.
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.
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Taxonomy
TopicsGas Dynamics and Kinetic Theory · Laser-Plasma Interactions and Diagnostics · Cosmology and Gravitation Theories