On uniqueness of charged Kerr–AdS black holes in five dimensions

Madden, Owen; Ross, Simon F.

doi:10.1088/0264-9381/22/3/004

Cited by 19 publications

(35 citation statements)

References 14 publications

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“…It was shown in [5] that the first-law calculation and the AMD calculation of the mass are in agreement for the uncharged rotating black holes. Analogous results for the AMD masses of the five-dimensional black holes with equal rotation parameters found in [3] were obtained in [15], giving agreement with an earlier thermodynamic calculation of the mass in [16]. Another calculation of the masses of the higher-dimensional uncharged rotating black holes was given in [17], using the Katz-Bičák-Lynden-Bell superpotential.…”

Section: Introductionsupporting

confidence: 77%

Mass of rotating black holes in gauged supergravities

2006

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The masses of several recently-constructed rotating black holes in gauged supergravities, including the general such solution in minimal gauged supergravity in five dimensions, have until now been calculated only by integrating the first law of thermodynamics. In some respects it is more satisfactory to have a calculation of the mass that is based directly upon the integration of a conserved quantity derived from a symmetry principal. In this paper, we evaluate the masses for the newly-discovered rotating black holes using the conformal definition of Ashtekar, Magnon and Das (AMD), and show that the results agree with the earlier thermodynamic calculations. We also consider the Abbott-Deser (AD) approach, and show that this yields an identical answer for the mass of the general rotating black hole in five-dimensional minimal gauged supergravity. In other cases we encounter discrepancies when applying the AD procedure. We attribute these to ambiguities or pathologies of the chosen decomposition into background AdS metric plus deviations when scalar fields are present. The AMD approach, involving no decomposition into background plus deviation, is not subject to such complications. Finally, we also calculate the Euclidean action for the five-dimensional solution in minimal gauged supergravity, showing that it is consistent with the quantum statistical relation.Research supported in part by DOE grant DE-FG03-95ER40917.

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Section: Introductionsupporting

confidence: 77%

Mass of rotating black holes in gauged supergravities

2006

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“…Like in the original four-dimensional Gödel solution, there also exist the close timelike curves in these five-dimensional supersymmetric Gödel spacetimes. Exact solutions describing various black holes immersed in the five-dimensional rotating Gödel Universe were found in [21][22][23][24][25], which obey to the usual black hole thermodynamics. The studies indicate that the quasinormal modes [26] and Hawking radiation [27] of these black holes are considerably affected by the rotating cosmological background.…”

Section: Introductionmentioning

confidence: 99%

Strong gravitational lensing in a squashed Kaluza-Klein Gödel black hole

2011

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We investigate the strong gravitational lensing in a squashed Kaluza-Klein black hole immersed in the Gödel universe with global rotation. Our result show that the strong gravitational lensing in the squashed Kaluza-Klein Gödel black hole spacetime has some distinct behaviors from that in the Kerr case. In the squashed Kaluza-Klein Gödel black hole spacetime, the photon sphere radius, the minimum impact parameter, the coefficientā,b and the deflection angle α(θ) in the φ direction are independent of whether the photon goes with or against the global rotation of the Gödel Universe. While in the Kerr black hole, the values of these quantities for the prograde photons are different from those for the retrograde photons. Moreover, the coefficient ofb increases with j in the squashed Kaluza-Klein Gödel black hole, but decreases with a in the Kerr case. We also probe the influence of the squashed effect on the strong gravitational lensing in this black hole and find that in the extremely squashed case ρ0 = 0, the coefficientā is a constant 1 and is independent of the global rotation of the Gödel Universe. Furthermore, we assume that the gravitational field of the supermassive central object of the Galaxy can be described by this metric and estimate the numerical values of the coefficients and the main observables in the strong gravitational lensing.

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“…This proves that β is a trivial parameter, in this situation when Q = 0. See [14] for a proof that β is trivial also when Q = 0. It is nonetheless useful to retain the redundant parameter β, since this provides a convenient way to consider various limits.…”

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confidence: 99%