An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data

Abstract

We prove that analytic initial data on a light cone arising from a metric satisfying a "near-roundness" condition near the vertex lead to a solution of the vacuum Einstein equations to the future of the light-cone.

33 pages. Contribution to the proceedings of the "Petrov 2010 Anniversary Symposium on General Relativity and Gravitation", held in Kazan, Nov 2010

References in corpus (1)

• On free general relativistic initial data on the light cone

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• Cauchy problem with data on a characteristic cone for the Einstein-Vlasov equations
• Conformally covariant systems of wave equations and their equivalence to Einstein's field equations