Singularity theorems from weakened energy conditions

@article{Fewster2011SingularityTF,
  title={Singularity theorems from weakened energy conditions},
  author={Christopher J. Fewster and Gregory J. Galloway},
  journal={Classical and Quantum Gravity},
  year={2011},
  volume={28},
  pages={125009}
}
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… 
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