On the Initial Data Constraints on the Light cone for the Einstein-Vlasov system
Patenou Jean Baptiste
Abstract:This article is concerned with the derivation of the Gauss-Codazzi's constraints equations on the initial light cone for geometric transport equations in general relativity. Temporal-gauge-dependent constraints are addressed too and gaugepreservation is established. The global resolution of the constraints is studied, a large class of initial data sets is deduced from appropriate free data and their behavior at the vertex of the cone is examined.
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