On Ricci coefficients of null hypersurfaces with time foliation in Einstein vacuum space-time

Details On Ricci coefficients of null hypersurfaces with time foliation in Einstein vacuum space-time On Ricci coefficients of null hypersurfaces with time foliation in Einstein vacuum space-time

2010-06-30

arxiv.org/abs/1006.5963v1

Mathematics

Analysis of PDEs

Scientific paper

The main objective of this paper is to control the geometry of null cones
with time foliation in Einstein vacuum spacetime under the assumptions of small
curvature flux and a weaker condition on the deformation tensor for $\bT$. We
establish a series of estimates on Ricci coefficients, which plays a crucial
role to prove the improved breakdown criterion in [12].

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