TY - JOUR
T1 - Singularity theorems from weakened energy conditions
AU - Fewster, Christopher J.
AU - Galloway, Gregory J.
PY - 2011/6/21
Y1 - 2011/6/21
N2 - 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.
AB - 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.
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U2 - 10.1088/0264-9381/28/12/125009
DO - 10.1088/0264-9381/28/12/125009
M3 - Article
AN - SCOPUS:79959845006
VL - 28
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 12
M1 - 125009
ER -