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arxiv: 1410.7595 · v3 · pith:QCR7DVV7new · submitted 2014-10-28 · 🧮 math.DG · gr-qc· math-ph· math.MP

Penrose's singularity theorem in a Finsler spacetime

classification 🧮 math.DG gr-qcmath-phmath.MP
keywords finslerpenrosesingularityspacetimetheoremariseattentioncareful
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We translate Penrose's singularity theorem to a Finsler spacetime. To that end, causal concepts in Lorentzian geometry are extended, including definitions and properties of focal points and trapped surfaces, with careful attention paid to the differences that arise in the Finslerian setting.

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