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arXiv · 1012.6038

Singularity theorems from weakened energy conditions

Christopher J. Fewster·Gregory J. Galloway
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Abstract

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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Christopher J. Fewster, Gregory J. Galloway. 2011-04-15. Singularity theorems from weakened energy conditions. https://doi.org/10.1088/0264-9381%2F28%2F12%2F125009

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