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arXiv · 1608.01135

Cauchy problem on two characteristic hypersurfaces for the Einstein-Vlasov-Scalar field equations in temporal gauge

Marcel Dossa·Jean Baptiste Patenou
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Abstract

In this paper, we consider the initial value problem for the Einstein-Vlasov-Scalar field equations in temporal gauge, where the initial data are prescribed on two characteristic smooth intersecting hypersurfaces. From a suitable choice of some free data, the initial data constraints's problem is solved globally, then the evolution problem relative to the deduced initial data is solved locally in time.

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Marcel Dossa, Jean Baptiste Patenou. 2016-08-03. Cauchy problem on two characteristic hypersurfaces for the Einstein-Vlasov-Scalar field equations in temporal gauge. https://arxiv.org/abs/1608.01135

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