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.
| Original language | English (US) |
|---|---|
| Article number | 125009 |
| Journal | Classical and Quantum Gravity |
| Volume | 28 |
| Issue number | 12 |
| DOIs | |
| State | Published - Jun 21 2011 |
Fingerprint
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Singularity theorems from weakened energy conditions. / Fewster, Christopher J.; Galloway, Gregory J.
In: Classical and Quantum Gravity, Vol. 28, No. 12, 125009, 21.06.2011.Research output: Contribution to journal › Article
}
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.
UR - http://www.scopus.com/inward/record.url?scp=79959845006&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79959845006&partnerID=8YFLogxK
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 -