Lipschitz inextendibility of weak null singularities from curvature blow-up

2024/09/27 by Sbierski, Jan · 4 citations
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2409.18838

Abstract

We prove the C^0,1_loc-inextendibility of weak null singularities without any symmetry assumptions. The proof introduces a new strategy to infer C^0,1_loc-inextendibility from the blow-up of curvature. The assumed blow-up is expected to be satisfied for weak null singularities in the interior of generic rotating black holes. Thus, we expect the result presented here to directly contribute to the resolution of the C^0,1_loc-formulation of the strong cosmic censorship conjecture in a neighbourhood of subextremal Kerr.

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• On the uniqueness of continuous spacetime extensions in 1+1 dimensions with applications to weak null singularities
• Volume-Distance-Ratio Asymptote and Spacetime Inextendibility for FLRW Spacetimes
• Spacetime inextensibility criteria by volume-distance-ratio asymptote and applications to naked singularities and FLRW spacetimes
• Weak null singularity for the Einstein-Euler system

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