On free general relativistic initial data on the light cone

Abstract

We provide a simple explicit parameterization of free general relativistic data on the light cone.

References in corpus (1)

• The Cauchy problem on a characteristic cone for the Einstein equations in arbitrary dimensions

Cited by in corpus (10)

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• Constraint equations for general hypersurfaces and applications to shells
• Solutions of the vacuum Einstein equations with initial data on past null infinity
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• The Bondi-Sachs metric at the vertex of a null cone: axially symmetric vacuum solutions
• On the smoothness of the critical sets of the cylinder at spatial infinity in vacuum spacetimes
• Characteristic initial data and smoothness of Scri. II. Asymptotic expansions and construction of conformally smooth data sets
• Simulations of gravitational collapse in null coordinates: III. Hyperbolicity
• An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data
• Conformally covariant systems of wave equations and their equivalence to Einstein's field equations