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Cauchy problem on two characteristic hypersurfaces for the Einstein-Vlasov-Scalar field equations in temporal gauge (1608.01135v1)
Published 3 Aug 2016 in math-ph and math.MP
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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