Singularity theorems from weakened energy conditions
General Relativity and Quantum Cosmology
2013-02-01 v3
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.
Cite
@article{arxiv.1012.6038,
title = {Singularity theorems from weakened energy conditions},
author = {Christopher J. Fewster and Gregory J. Galloway},
journal= {arXiv preprint arXiv:1012.6038},
year = {2013}
}
Comments
v3 18 pages. Minor correction to the proof of Lemma 3.1; results are unchanged. Final version to appear in Class Quantum Grav