Singularity theorems from weakened energy conditions
Dec, 2010Citations per year
Abstract: (arXiv)
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.Note:
- v3 18 pages. Minor correction to the proof of Lemma 3.1/ results are unchanged. Final version to appear in Class Quantum Grav
- field theory: scalar
- coupling: scalar
- null-energy condition: violation
- strong-energy condition: violation
- coupling: nonminimal
- singularity
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