Abstract
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 \({H^{s} \bigoplus H^{s - 1}, \mathbb{N} \ni s > n/2 + 1}\).
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Chruściel, P.T. On maximal globally hyperbolic vacuum space-times. J. Fixed Point Theory Appl. 14, 325–353 (2013). https://doi.org/10.1007/s11784-013-0141-4
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DOI: https://doi.org/10.1007/s11784-013-0141-4