4.4 Article

The Penrose singularity theorem in regularity C1,1

Journal

CLASSICAL AND QUANTUM GRAVITY
Volume 32, Issue 15, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/32/15/155010

Keywords

singularity theorems; low regularity; regularization; causality theory

Funding

  1. FWF [P23714, P25326]
  2. Austrian Science Fund (FWF) [P23714, P25326] Funding Source: Austrian Science Fund (FWF)
  3. Austrian Science Fund (FWF) [P 23714, P 25326] Funding Source: researchfish

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We extend the validity of the Penrose singularity theorem to spacetime metrics of regularity C-1,C-1. The proof is based on regularization techniques, combined with recent results in low regularity causality theory.

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