Near horizon geometry of rotating black holes in five dimensions

Abstract

We interpret the general rotating black holes in five dimensions as rotating black strings in six dimensions. In the near horizon limit the geometry is locally AdS 3 × S 3 , as in the nonrotating case. However, the global structure couples the AdS 3 and the S 3 , giving angular velocity to the S 3 . The asymptotic geometry is exploited to count the microstates and recover the precise value of the Bekenstein-Hawking entropy, with rotation taken properly into account. We discuss the perturbation spectrum of the rotating black hole, and its relation to the underlying conformal field theory.

Microscopic theory of black hole superradiance

“…III. This is an extension of previous analyses of radiation from the D1-D5-P black holes studied at length in [20,21]. We do generalize their results to include momentum for the bulk scalar.…”

“…There have been previous papers dealing with emission rates from rotating black holes and the microscopic calculations that match them [9,18,20,21] (see [22,23] for a review), in some cases discussing, more or less directly, aspects of superradiance. Typically, these papers have computed the absorption cross sections for a nonextremal black hole and for its microscopic finite-temperature dual.…”

Supersymmetric black rings and three-charge supertubes

“…Also, the near-horizon limit in (4.12) exists for any black ring, whereas here we are restricting the parameters to the ranges in (6.14). These differences between the two limits are in fact also present for BMPV [40]. The two limits nevertheless commute, so the new solution has a regular horizon of finite area.…”

“…This happens when R = 0, i.e., BMPV in the decoupling limit [40], and also for two-charge D1-D5 supertubes that saturate the CTC bound q 2 3 R 2 = Q 1 Q 2 . The decoupling limit of the latter is global AdS 3 times a rotating S 3 , with a conical singularity if n KK > 1 [36].…”

Generating charge from diffeomorphisms

“…But this expectation clashes with the charges usually assigned to standard solutions of this form, 2 and with basic aspects of the AdS 3 /CFT 2 duality. For example, rotating BPS black hole solutions in the D1-D5 system look locally like a coordinate transformation of AdS 3 × S 3 , yet carry nonzero charge [1]. In the boundary CFT description there is the phenomenon of "spectral flow", which is a relabelling of states and symmetry generators that shifts the R-charges.…”