Does a black hole rotate in Chern-Simons modified gravity?

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dc.creatorKonno, Kohkichi
dc.creatorMatsuyama, Toyoki
dc.creatorTanda, Satoshi
dc.date2007-06-21
dc.date.accessioned2026-07-07T11:17:05Z
dc.date.available2026-07-07T11:17:05Z
dc.descriptionRotating black hole solutions in the (3+1)-dimensional Chern-Simons modified gravity theory are discussed by taking account of perturbation around the Schwarzschild solution. The zenith-angle dependence of a metric function related to the frame-dragging effect is determined from a constraint equation independently of a choice of the embedding coordinate. We find that at least within the framework of the first-order perturbation method, the black hole cannot rotate for finite black hole mass if the embedding coordinate is taken to be a timelike vector. However, the rotation can be permitted in the limit of $M/r \to 0$ (where $M$ is the black hole mass and $r$ is the radius). For a spacelike vector, the rotation can also be permitted for any value of the black hole mass.
dc.description4 pages, Accepted for publication in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0706.3080
dc.identifierhttp://arxiv.org/abs/0706.3080
dc.identifierPhys.Rev.D76:024009,2007
dc.identifierdoi:10.1103/PhysRevD.76.024009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192887
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleDoes a black hole rotate in Chern-Simons modified gravity?
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