On maximal globally hyperbolic vacuum space-times

Details On maximal globally hyperbolic vacuum space-times On maximal globally hyperbolic vacuum space-times

2011-12-25

arxiv.org/abs/1112.5779v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Significant overlap with http://arxiv.org/abs/gr-qc/9304029, where the smooth case was adressed

Scientific paper

We prove existence and uniqueness of maximal global hyperbolic developments
of vacuum general relativistic initial data sets with initial data (g,K) in
Sobolev spaces $H^s\oplus H^{s-1}$ with integer s > n/2 +1.

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