Black diholes in five dimensions

Abstract

Using a generalized Weyl formalism, we show how stationary, axisymmetric solutions of the four-dimensional vacuum Einstein equation can be turned into static, axisymmetric solutions of five-dimensional dilaton gravity coupled to a two-form gauge field. This procedure is then used to obtain new solutions of the latter theory describing pairs of extremal magnetic black holes with opposite charges, known as black diholes. These diholes are kept in static equilibrium by membrane-like conical singularities stretching along two different directions. We also present solutions describing diholes suspended in a background magnetic field, and with unbalanced charges.

21 pages, 2 figures; reference added

References in corpus (14)

• Pair Creation of Dilaton Black Holes
• Generalized Weyl Solutions
• A new form of the C-metric
• Nucleation of $P$-Branes and Fundamental Strings
• Tubular Branes in Fluxbranes
• Black diholes
• Interacting Black Holes
• Macroscopic and Microscopic Description of Black Diholes
• Inhomogeneous Near-extremal Black Branes
• Symmetries of the stationary Einstein--Maxwell--dilaton theory
• Multi-black hole solutions in five dimensions
• Finite Magnetic Flux Tube as a Black & White Dihole
• Black diholes with unbalanced magnetic charges
• Kaluza-Klein dipoles, brane/anti-brane pairs and instabilities

Cited by in corpus (10)

• Black Holes in Higher Dimensions
• Rotating Circular Strings, and Infinite Non-Uniqueness of Black Rings
• A new form of the C-metric
• Quantum long-range interactions in general relativity
• Non-Singular Solutions for S-branes
• Multi-black hole solutions in five dimensions
• Dynamics of Charged and Rotating NUT Black Holes in Rastall Gravity
• Charged Kaluza-Klein double-black holes in five dimensions
• Static charged double-black rings in five dimensions
• Newman-Janis Algorithm from Taub-NUT Instantons