Cauchy problem on two characteristic hypersurfaces for the   Einstein-Vlasov-Scalar field equations in temporal gauge
  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. 
Marcel Dossa, Jean Baptiste Patenou
math-ph math.MP