Chapter 2. Exact Solutions of Higher Dimensional Black Holes

Abstract

We review exact solutions of black holes in higher dimensions, focusing on asymptotically flat black hole solutions and Kaluza-Klein type black hole solutions. We also summarize some properties which such black hole solutions reveal.

Hawking Radiation from Higher-Dimensional Black Holes

“…In the thermal factor, the + sign is for fermionic fields and the − sign for bosonic fields. In the above,ω is given by (8), while the temperature TH and angular velocity ΩH of the simply-rotating Myers-Perry black hole (17) are found to be:…”

“…Over the past fifteen or so years, there has been great interest in higher-dimensional black holes. Within the context of classical general relativity, a menagerie of black-hole-like solutions of the Einstein equations has been discovered (see for example [7,8] for reviews). It is then natural to study the properties of Hawking radiation from higher-dimensional black holes.…”

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

“…In such cases, we can obtain exact Kaluza-Klein black hole solutions easily. A family of five-dimensional squashed Kaluza-Klein black hole solutions [1][2][3][4][5][6][7][8][9][10][11][12][13][14] asymptote to effective four-dimensional spacetimes with a twisted S 1 as an extra dimension at infinity, and represent fully five-dimensional black holes near the squashed S 3 horizons (See [15] as a review).…”

Kaluza-Klein rotating multi-black-hole configurations with electromagnetic field in Einstein-Maxwell-dilaton gravity

“…During the last years Kaluza-Klein black holes were extensively studied and many exact solutions were found but a lot remains to be done in this direction since the spectrum of black hole solutions in the Kaluza-Klein case is much richer than in the asymptotically flat case. For recent review on the subject we refer the reader to [1].In the present paper we deal with multi-black hole Kaluza-Klein spacetimes. Such multi-black hole configurations are very interesting since they provide us with valuable insight into the black hole theory in spacetimes with compact extra dimensions and especially into the black hole interactions in the strong field regime.…”

“…During the last years Kaluza-Klein black holes were extensively studied and many exact solutions were found but a lot remains to be done in this direction since the spectrum of black hole solutions in the Kaluza-Klein case is much richer than in the asymptotically flat case. For recent review on the subject we refer the reader to [1].…”