A pair of extremal charged black holes on Kerr–Taub-bolt space

Abstract

We construct asymptotically Kaluza-Klein solutions in five-dimensional Einstein-Maxwell theory which represent a pair of extremal, charged, static black holes on Kerr-Taub-bolt space. Regularity conditions require that the topology of spatial infinity and that of each black hole are not S 3 , but different lens spaces. We show that for a given topology at spatial infinity, there are an infinite number of different horizon topologies for the black hole pair. We briefly discuss a generalization to the case with a positive cosmological constant.

Charged black strings in a five-dimensional Kasner universe

“…It is straight forward to construct multi-black hole solutions by superposition of the harmonic functions. A pioneering work was done by Majumdar and Papapetrou [23,24] in four dimensions, and higher-dimensional solutions of this class are constructed as a variety of black holes [25][26][27][28][29][30][31][32][33][34]. In the case of hyper-Kähler base space, the solutions are supersymmetric.…”

Light deflection by squashed Kaluza-Klein black holes in a plasma medium

“…In this case, an unstable circular orbit of the photon exists at a photonsphere radius. From the denominator of the angular momentum (15), we obtain the photonsphere radius in the metric (1) as…”

“…Then squashed Kaluza-Klein black hole solutions with a twisted compactified extra dimension would describe the geometry around the compact objects. Several aspects of squashed Kaluza-Klein black holes are discussed, for example, multi-black holes [13][14][15], stabilities [16,17], quasinormal modes [18][19][20], thin accretion disk [21], X-ray reflection spectroscopy [22], gyroscope precession [23,24], strong gravitational lensing [25][26][27][28][29] and black hole shadow [30,31].…”