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arxiv: 1012.6038 · v3 · submitted 2010-12-29 · 🌀 gr-qc

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Singularity theorems from weakened energy conditions

Christopher J. Fewster , Gregory J. Galloway
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classification 🌀 gr-qc
keywords energyconditionsfieldsingularitytheoremsconditioncoupledestablish
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We establish analogues of the Hawking and Penrose singularity theorems based on (a) averaged energy conditions with exponential damping; (b) conditions on local stress-energy averages inspired by the Quantum Energy Inequalities satisfied by a number of quantum field theories. As particular applications, we establish singularity theorems for the Einstein equations coupled to a classical scalar field, which violates the strong energy condition, and the nonminimally coupled scalar field, which also violates the null energy condition.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A Quantum Singularity Theorem for the Evaporating Black Hole

    hep-th 2026-05 unverdicted novelty 7.0

    A new singularity theorem establishes that evaporating black holes in semiclassical gravity are singular under weaker causality assumptions and the Generalized Second Law.