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General Relativity and Quantum Cosmology

arXiv:0711.1868 (gr-qc)
[Submitted on 13 Nov 2007]

Title:How do Black Holes Spin in Chern-Simons Modified Gravity?

Authors:Daniel Grumiller (MIT), Nicolas Yunes (Penn State)
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Abstract: 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 non-canonical 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.
Comments: 20 pages, 1 figure. Submitted to PRD
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Report number: IGC-07/11-1, MIT-CTP 3908
Cite as: arXiv:0711.1868 [gr-qc]
  (or arXiv:0711.1868v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.1868
Journal reference: Phys.Rev.D77:044015,2008
Related DOI: https://doi.org/10.1103/PhysRevD.77.044015

Submission history

From: Nicolas Yunes [view email]
[v1] Tue, 13 Nov 2007 16:05:48 UTC (42 KB)
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