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These lectures review some of the recent progress in uncovering the phase structure of black hole solutions in higher-dimensional vacuum Einstein gravity. The two classes on which we focus are Kaluza-Klein black holes, i.e. static solutions…

High Energy Physics - Theory · Physics 2009-01-28 Niels A. Obers

Kaluza-Klein theory, by which we mean vacuum gravity in 5-dimensions, with asymptotics that are a product of a circle with Minkowski spacetime, has a variety of different static black hole solutions; localized black holes and the…

High Energy Physics - Theory · Physics 2024-10-29 Emma Albertini , Daniel Platt , Toby Wiseman

We examine an exact solution which represents a charged black hole in a Kaluza-Klein universe in the five-dimensional Einstein-Maxwell theory. The spacetime approaches to the five-dimensional Kasner solution that describes expanding three…

High Energy Physics - Theory · Physics 2014-10-08 Yuki Kanou , Hideki Ishihara , Masashi Kimura , Ken Matsuno , Takamitsu Tatsuoka

The most general charged and rotating black hole in Kaluza-Klein theory is known to be described by the Rasheed-Larsen solution. When the under-rotating extremal limit of this solution is taken, it falls into a general class of solutions of…

General Relativity and Quantum Cosmology · Physics 2024-02-23 Edward Teo , Thomas Wan

A brief review is given of black holes in Kaluza-Klein theory. This includes both solutions which are homogeneous around the compact extra dimension and those which are not.

General Relativity and Quantum Cosmology · Physics 2011-08-26 Gary T. Horowitz , Toby Wiseman

Using a solution generating technique based on the symmetries of the dimensionally reduced Lagrangian we derive an exact solution of the Einstein-Maxwell-Dilaton field equations in five dimensions describing a system of two general…

High Energy Physics - Theory · Physics 2011-05-05 Cristian Stelea , Kristin Schleich , Donald Witt

We present a four-dimensional double-black-hole (or dihole) solution in Kaluza-Klein theory, describing a superposition of an electrically charged and a magnetically charged black hole. This system can be balanced for appropriately chosen…

High Energy Physics - Theory · Physics 2015-06-11 Yu Chen , Edward Teo

We construct the Kaluza-Klein multi-black hole solutions on the Gibbons-Hawking multi-instanton space in the five-dimensional Einstein-Maxwell theory. We study geometric properties of the multi-black hole solutions. In particular, unlike…

High Energy Physics - Theory · Physics 2009-11-11 Hideki Ishihara , Masashi Kimura , Ken Matsuno , Shinya Tomizawa

We consider a five-dimensional Einstein-Gauss-Bonnet model, which gives rise after dimensional reduction to Einstein gravity nonminimally coupled to nonlinear electrodynamics. The black hole solutions of the four-dimensional model modify…

General Relativity and Quantum Cosmology · Physics 2023-12-01 S. Mignemi

We obtain a new exact black-hole solution in Einstein-Gauss-Bonnet gravity with a cosmological constant which bears a specific relation to the Gauss-Bonnet coupling constant. The spacetime is a product of the usual 4-dimensional manifold…

High Energy Physics - Theory · Physics 2009-11-11 Hideki Maeda , Naresh Dadhich

Using a solution-generating method, we derive an exact solution of the Einstein's field equations in five dimensions describing multi-black hole configurations. More specifically, this solution describes systems of non-extremal static black…

General Relativity and Quantum Cosmology · Physics 2014-12-01 Cristian Stelea , Kristin Schleich , Donald Witt

We construct exact solutions, which represent regular charged rotating Kaluza-Klein multi-black holes in the five-dimensional pure Einstein-Maxwell theory. Quantization conditions between the mass, the angular momentum, and charges appear…

High Energy Physics - Theory · Physics 2012-11-28 Ken Matsuno , Hideki Ishihara , Masashi Kimura , Takamitsu Tatsuoka

We numerically construct static localized black holes in five and six spacetime dimensions which are solutions to Einstein's vacuum field equations with one compact periodic dimension. In particular, we investigate the critical regime in…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Michael Kalisch , Sebastian Moeckel , Martin Ammon

We investigate five-dimensional vacuum solutions which represent rotating multi-black holes in asymptotically Kaluza-Klein spacetimes. We show that multi-black holes rotate maximally along extra dimension, and stationary configurations in…

High Energy Physics - Theory · Physics 2012-08-24 Ken Matsuno , Hideki Ishihara , Masashi Kimura , Takamitsu Tatsuoka

All regular four-dimensional black holes are constructed in the theory obtained by Kaluza-Klein reduction of five-dimensional Einstein gravity. They are interpreted in string theory as rotating bound states of D0- and D6-branes.…

High Energy Physics - Theory · Physics 2009-10-31 Finn Larsen

We construct an exact stationary solution of black hole -- bubble sequence in the five dimensional Kaluza-Klein theory by using solitonic solution generating techniques. The solution describes two boosted black holes with topology S^3 on a…

High Energy Physics - Theory · Physics 2014-11-18 Hideo Iguchi , Takashi Mishima , Shinya Tomizawa

We construct and analyze a large class of exact five- and six-dimensional regular and static solutions of the vacuum Einstein equations. These solutions describe sequences of Kaluza-Klein bubbles and black holes, placed alternately so that…

High Energy Physics - Theory · Physics 2009-11-10 H. Elvang , T. Harmark , N. A. Obers

We develop a type of Kaluza-Klein formalism in $(4+4)$-dimensions. In the framework of this formalism we obtain a new kind of Schwarzschild metric solutions that via Kruskal-Szequeres can be interpreted as mirror black and white holes. We…

General Relativity and Quantum Cosmology · Physics 2017-10-31 Juan Antonio Nieto , José Edgar Madriz Aguilar

Five-dimensional Kaluza-Klein theory with an Einstein-Gauss-Bonnet Lagrangian induces nonlinear corrections to the four-dimensional Maxwell equations, which however remain second order. Although these corrections do not have effect on the…

General Relativity and Quantum Cosmology · Physics 2022-08-31 S. Mignemi

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…

High Energy Physics - Theory · Physics 2015-10-12 Ken Matsuno , Hideki Ishihara , Masashi Kimura
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