Charged Rotating Black Holes in Four-Dimensional Gauged and Ungauged Supergravities

By Z. Chong, M. Cvetič, Hong Lu, C. Pope. 2004

183 citations recorded by the source corpus.

Abstract We study four-dimensional non-extremal charged rotating black holes in ungauged and gauged supergravity. In the ungauged case, we obtain rotating black holes with four independent charges, as solutions of N = 2 supergravity coupled to three Abelian vector multiplets. This is done by reducing the theory along the time direction to three dimensions, where it has an O ( 4 , 4 ) global symmetry. Applied to the reduction of the uncharged Kerr metric, O ( 1 , 1 ) 4 ⊂ O ( 4 , 4 ) transformations generate new solutions that correspond, after lifting back to four dimensions, to the introduction of four independent electromagnetic charges. In the case where these charges are set pairwise equal, we then generalise the four-dimensional rotating black holes to solutions of gauged N = 4 supergravity, with mass, angular momentum and two independent electromagnetic charges. The dilaton and axion fields are non-constant. We also find generalisations of the gauged and ungauged solutions to include the NUT parameter, and for the ungauged solutions, the acceleration parameter too. The solutions in gauged supergravity provide new gravitational backgrounds for a further study of the AdS4/CFT3 correspondence at non-zero temperature.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1905f0c04a74e8a6bc4dfb329171c99f2450e361

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Citations in the corpus

Extremal Black Hole/CFT Correspondence in (Guaged) Supergravities (2008, background): “bosonic sector of the four-dimensional N = 2 ungauged supergravity coupled to three vector multiplets. The metric was ﬁrst obtained in [18], and the explicit form of the gauge potentials was given in [19]. 10 The solution is speciﬁed by mass, angular momentum, and two electric and two magnetic charg”
Black hole enthalpy and an entropy inequality for the thermodynamic volume (2010, background): “2 Rotating pairwise-equal 4-charge black hole in D = 4 gauged supergravity The metric for this black hole is obtained in [22].”
Large rotating AdS black holes from fluid mechanics (2007, background): “2 Black holes in AdS4 with pairwise equal charges The relevant solution was found in [22].”
AdS2 holographic dictionary (2016, methodology): “These are asymptotically conformally AdS2×S(2) or AdS2×S(3) black holes that can be obtained through a ‘subtraction’ procedure [33, 34] from generic multi-charge non extremal asymptotically flat black holes in four [40, 41, 42, 43, 44] and five [45] dimensions.”
Black Holes in Higher Dimensions (2008, background): “Electrically charged, rotating solutions of the U(1)(4) theory, with the four charges set pairwise equal, were constructed in [36].”
Superconformal Indices for N = 6 Chern Simons Theories (2008, background): “In a similar fashion the 3 dimensional superconformal index computed in this paper appears to be blind to the 1/12 BPS black holes presumably hosted by the AdS4 × S 7 Zk dual background (see [10, 11, 12]).”