2007
DOI: 10.1103/physrevd.76.024009
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Does a black hole rotate in Chern-Simons modified gravity?

Abstract: Rotating 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 coor… Show more

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Cited by 46 publications
(69 citation statements)
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“…The first solutions were found by Alexander and Yunes [8,9], using a far-field approximation (where the field point distance is considered to be much larger than the black hole mass). The second rotating black hole solution was found by Konno et al [10], using a small slow-rotation approximation, where the spin angular momentum is assumed to be much smaller than the black hole mass. However, it is interesting to note that recently, using the dynamical formulation of CS modified gravity, spinning black hole solutions in the slow-rotation approximation have been obtained [11,12].…”
mentioning
confidence: 99%
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“…The first solutions were found by Alexander and Yunes [8,9], using a far-field approximation (where the field point distance is considered to be much larger than the black hole mass). The second rotating black hole solution was found by Konno et al [10], using a small slow-rotation approximation, where the spin angular momentum is assumed to be much smaller than the black hole mass. However, it is interesting to note that recently, using the dynamical formulation of CS modified gravity, spinning black hole solutions in the slow-rotation approximation have been obtained [11,12].…”
mentioning
confidence: 99%
“…date, has considered the nondynamical formulation [7][8][9][10], whereas the dynamical formulation remains mostly unexplored territory.…”
mentioning
confidence: 99%
“…Konno, Matsuyama, Asano and Tanda [33] (hereafter KMAT) studied a solution for a slowly rotating black hole in CS modified gravity derived previously by Konno, Matsuyama and Tanda [34] (hereafter KMT). The KMT slow rotating solution corresponds to a (special) spatial coupling field.…”
Section: Introductionmentioning
confidence: 99%
“…In this paper, we shall consider the KMT solution [33,34] to study the effects of CS modified gravity on the phase shift in neutron interferometry using, in addition, the equations of optical-mechanical analogy for rotating sources [36]. The final formula for phase shift shows a combination of different effects.…”
Section: Introductionmentioning
confidence: 99%
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