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

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.

arXiv comment9 pages, to appear at C. R. Math. Rep. Acad. Sci. Canada

References in corpus (3)

• The many ways of the characteristic Cauchy problem
• The Goursat Problem for the Einstein-Vlasov System: (I) The Initial Data Constraints
• Cauchy problem with data on a characteristic cone for the Einstein-Vlasov equations