How do black holes spin in Chern-Simons modified gravity?

被引:100
作者
Grumiller, Daniel [1 ]
Yunes, Nicolas [2 ]
机构
[1] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
[2] Penn State Univ, Dept Phys, Inst Gravitat & Cosmos, University Pk, PA 16802 USA
来源
PHYSICAL REVIEW D | 2008年 / 77卷 / 04期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.77.044015
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
No Kerr-like exact solution has yet been found in Chern-Simons modified gravity. Intrigued by this absence, we study stationary and axisymmetric metrics that could represent the exterior field of spinning black holes. For the standard choice of the background scalar, the modified field equations decouple into the Einstein equations and additional constraints. These constraints eliminate essentially all solutions except for Schwarzschild. For noncanonical choices of the background scalar, we find several exact solutions of the modified field equations, including mathematical black holes and pp-waves. We show that the ultrarelativistically boosted Kerr metric can satisfy the modified field equations, and we argue that physical spinning black holes may exist in Chern-Simons modified gravity only if the metric breaks stationarity, axisymmetry, or energy-momentum conservation.
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页数:20
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