Singularity theorems from weakened energy conditions

2010/12/31 by Christopher J. Fewster, Gregory J. Galloway · 2 citations
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.1088/0264-9381/28/12/125009

published as Class. Quantum Grav. 28 (2011) 125009 · v3 18 pages. Minor correction to the proof of Lemma 3.1; results are unchanged. Final version to appear in Class Quantum Grav

arxiv created 2011/04/15 · arxiv updated 2013/02/01

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.

Cited by

• Observational Indistinguishability and the Beginning of the Universe
• Penrose inequality for integral energy conditions

Related

• Classical and quantum strong energy inequalities and the Hawking singularity theorem
• The double smeared null energy condition
• Averaged Energy Inequalities for Non-Minimally Coupled Classical Scalar Fields
• Averaged energy conditions for vector fields
• Lectures on quantum energy inequalities