The spacetime Penrose inequality holds under the quasi final state hypothesis via tangentially maximal hypersurfaces that reduce the problem to the known Riemannian Penrose inequality.
Chruściel,On the invariant mass conjecture in general relativity, Communications in Mathematical Physics120(1988), 233–248
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The spacetime Penrose inequality under a quasi final state hypothesis
The spacetime Penrose inequality holds under the quasi final state hypothesis via tangentially maximal hypersurfaces that reduce the problem to the known Riemannian Penrose inequality.