Contracting T2 symmetry local existence for Einstein-Vlasov-Scalar field system
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 T2 symmetry case, a local in time existence of solutions.
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