Solutions of the vacuum Einstein equations with initial data on past null infinity

Abstract

We prove existence of vacuum space-times with freely prescribable cone-smooth initial data on past null infinity.

16 pages, a couple of minor changes

References in corpus (2)

• The Cauchy problem on a characteristic cone for the Einstein equations in arbitrary dimensions
• On free general relativistic initial data on the light cone

Cited by in corpus (7)

• Classical double copy at null infinity
• Graviton scattering in self-dual radiative space-times
• The Taylor expansion at past time-like infinity
• On the smoothness of the critical sets of the cylinder at spatial infinity in vacuum spacetimes
• Conformal wave equations for the Einstein-tracefree matter system
• Asymptotic Structure with vanishing cosmological constant
• The Einstein equations and multipole moments at null infinity