General Kaluza-Klein black holes with all six independent charges in five-dimensional minimal supergravity

Abstract

Using the SL(2, R)-duality in a dimensionally reduced spacetime in (the bosonic sector of) fivedimensional minimal supergravity, we construct general Kaluza-Klein black hole solutions which carry six independent charges, its mass, angular momentum along four dimensions, electric and magnetic charges of the Maxwell fields in addition to Kaluza-Klein electric and magnetic monopole charges.

Conserved charge of a gravity theory with p -form gauge fields and its property under Kaluza-Klein reduction

“…On the other hand, as a consequence of the generality for the Lagrangian L M , the potential (3.17) can be widely used to compute the conserved charges of gravity theories in the presence of scalar fields and p-form gauge fields. Its typical applications are to calculate the conserved charges of black holes in Einstein-Maxwell-dilaton theory and supergravity theories [38,39,40,41,42,43], such as the dyonic AdS black holes in four-dimensional maximal N = 8, SO(8) gauged supergravity [38], the general nonextremal rotating charged AdS black holes in five-dimensional U (1) 3 gauged supergravity [39], the rotating charged Kaluza-Klein black holes [40] and the rotating charged Gödel-type black holes [41] in fivedimensional minimal supergravity, the general nonextremal charged rotating black holes in five-dimensional minimal gauged supergravity [42], and so on. If the formula (2.24), endowed with the off-shell ADT potential (3.17), is applied to compute the conserved charges within the low-energy effective field theory describing heterotic string theory like in [14], one can observe that all the results in that work are covered.…”

“…In particular, some exact solutions in the supergravity theories have been found. For several of them see the references [38,39,40,41,42,43]. To understand the behaviour of the p-form gauge fields on the conserved charges for gravity theories with such fields, it is of great interest to apply the off-shell generalized ADT formalism to fully identify their contribution.…”

Hawking radiation of scalar particles and fermions from squashed Kaluza-Klein black holes based on a generalized uncertainty principle

“…However, even if we impose asymptotic flatness to the fourdimensional part of the higher-dimensional spacetime model with Kaluza-Klein structure, the metric is not uniquely determined. A family of five-dimensional squashed Kaluza-Klein black hole solutions [86][87][88][89][90][91] represent fully five-dimensional black holes near the squashed S 3 horizons and asymptote to effective four-dimensional spacetimes with a twisted S 1 as an extra dimension at infinity. Then we can regard a series of squashed Kaluza-Klein black hole solutions with a twisted compactified extra dimension as one of realistic higher-dimensional black hole models.…”

Kaluza-Klein black lens in five dimensions

“…In particular, physics of black holes in five-dimensional Einstein-Maxwell-Chern-Simons (EMCS) theory has recently been the subject of increased attention, since the five-dimensional EMCS theory describes the bosonic sector of five-dimensional minimal supergravity as a low-energy limit of string theory, as well as one of the simplest theories of supersymmetry. So far, several types of black hole solutions in this theory have been found by using recent development of solution generating techniques [1][2][3][4][5][6][7][8][9] and they have been classified in the context of the uniqueness theorems [10][11][12]. However, it is evident that the construction of all black hole solutions has not been achieved yet.…”