Electrically charged black-holes for the heterotic string compactified on a (10 - D)-torus

Abstract

We show that the most general stationary electrically charged black-hole solutions of the heterotic string compactified on a (10−D)-torus (where D > 3) can be obtained by using the solution generating transformations of Sen acting on the Myers and Perry metric. The conserved charges labeling these black-hole solutions are the mass, the angular momentum in all allowed commuting planes, and 36 − 2D electric charges. General properties of these black-holes are also studied.

Higher-dimensional rotating charged black holes

“…In particular, they include the elusive electric rotating black holes of the Einstein-Maxwell theory (a = 0), which for the first time are described in these regimes. They also include the previously known charged rotating black holes in Kaluza-Klein theory [9,10], whose properties we show are accurately reproduced in the appropriate regime. We shall argue that in the blackfold regime all these black holes are unstable even when they are close to extremality and slowly rotating.…”

“…We can unify the description of fluids with either of these currents if we introduce the projector onto the space parallel to the particle/string worldline/sheet, 9) and onto directions in W p+1 orthogonal to it,…”

“…Restricting to theories with a single gauge field, possibly coupled to a dilaton (and without a cosmological constant), the known exact black hole solutions 1 with electric charge reduce, in five dimensions, to the BMPV solution and its non-extremal extension [3,4] plus the black rings of [5][6][7][8] (with a Chern-Simons term). In D > 5 there are the charged black holes that can be obtained by U-duality-type transformations of the Myers-Perry black holes [9], but these only allow a few values of the dilaton coupling, in particular the Kaluza-Klein value [10], but never zero coupling. In fact, a solution whose exact form is conspicuously absent is the natural higherdimensional extension of the Kerr-Newman solution, namely a rotating charged black hole of the Einstein-Maxwell theory, without dilaton coupling nor Chern-Simons terms.…”

Black holes and solitons in string theory

“…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), […”

Harrison transformation and charged black objects in Kaluza-Klein theory

“…For such configurations, the equations depend only on the radial variable r and the extra-dimension variable z and are solved to first order in the angular momentum parameter. To simplify the general picture, we shall restrict here to the case of EM theory, 18 Except for special values of the dilaton coupling constant where the solutions can be generated from the Myers-Perry black holes following the techniques in [48], [49].…”