Near-BPS-saturated rotating electrically charged black holes as string states

Abstract

We construct generating solutions for general D-dimensional (4 ≤ D ≤ 9) rotating, electrically charged, black holes in the effective action of toroidally compactified heterotic (or Type IIA) string. The generating solution is parameterized by the ADM mass, two electric charges and D−1 2 angular momenta (as well as the asymptotic values of one toroidal modulus and the dilaton field). For D ≥ 6, those are generating solutions for general black holes in toroidally compactified heterotic (or type IIA) string. Since in the BPS-limit (extreme limit) these solutions have singular horizons or naked singularities, we address the near extreme solutions with all the angular momenta small enough. In this limit, the thermodynamic entropy can be cast in a suggestive form, which has a qualitative interpretation as microscopic entropy of (near)-BPS-saturated charged string states of toroidally compactified heterotic string, whose target-space angular momenta are identified as [ D−1 2 ] U (1) left-moving world-sheet currents.

Charged Kerr–de Sitter black holes in five dimensions

“…In addition, it would be interesting to generalise these solutions to charged Kerr-de Sitter solutions in higher dimensions, thus extending the general spinning charged black holes with zero cosmological constant [16] and the general Kerr-de Sitter solutions, obtained recently in [17], to charged black holes in de Sitter backgrounds.…”

Black holes and solitons in string theory

“…We propose [184] an alternative way to circumvent the problems of the BPS electric black holes. Instead of defining the thermal entropy of the BPS black holes at the stretched horizon, we propose to calculate the thermal entropy of near extreme black holes at the event horizon.…”

“…We discuss rotating black holes in heterotic string on T 10−D (4 ≤ D ≤ 9) with general U (1) 36−2D electric charge configurations [184,449]. The generating solution is parameterized by the ADM mass M BH (or alternatively the non-extremality parameter m), […”

“…• black holes in D ≥ 6 [184]: 2 electric charges of KK and 2-form U(1) gauge fields associated with the same internal coordinate.…”

Hidden symmetries of dynamics in classical and quantum physics

“…There are two main examples in the literature of generalised closed conformal Killing-Yano tensors that satisfy the anomaly equation. One is the generalized closed conformal Killing-Yano tensor, with torsion given by the 3-form flux H (Houri et al, 2010b), in Kerr-Sen black hole spacetimes in generic dimension: it satisfies the anomaly equation with f = 0 = ǫ (Chow, 2008;Cvetič and Youm, 1996;Sen, 1992). The other is minimal five-dimensional supergravity, with the torsion identified with the dual of Maxwell field T = * F/ √ 3, for the most general black hole solution (Chong et al, 2005a): in this case one has Perelomov (Olshanetsky and Perelomov, 1981) showed that the Toda chain can be obtained by projecting to lower dimension the geodesic equations on the Lie group X − = SO(n)\SL(n, R).…”