Singularity theorems from weakened energy conditions

Christopher J Fewster (1) , Gregory J Galloway (2)

1 Department of Mathematics
2 Department of Mathematics

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.

Mots clés: Physical Sciences

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Christopher J Fewster, Gregory J Galloway. Singularity theorems from weakened energy conditions. Classical and Quantum Gravity, 2011, 28 (12), pp.125009. ⟨10.1088/0264-9381/28/12/125009⟩. ⟨hal-00710468⟩