Charged Static AdS Black Hole Binaries

Abstract

We construct the first binary black hole solutions of Einstein-Maxwell theory in asymptotically anti-de Sitter space. The attractive force between the two black holes is balanced by the addition of a background electric field, sourced at the conformal boundary. There is a continuous family of bulk solutions for a given boundary profile and temperature, suggesting there is continuous non-uniqueness. We investigate the charges of the solutions and verify numerically that they satisfy a first law of black hole mechanics relation.

18 pages (incl. appendices), 8 figures

References in corpus (30)

• Holographic Superconductors
• A rotating black ring in five dimensions
• Breaking an Abelian gauge symmetry near a black hole horizon
• Kerr black holes with scalar hair
• Kerr black holes with Proca hair
• Black Saturn
• Rotating Circular Strings, and Infinite Non-Uniqueness of Black Rings
• A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
• Black holes with only one Killing field
• Numerical Methods for Finding Stationary Gravitational Solutions
• Bicycling Black Rings
• Black diring and infinite nonuniqueness
• Ricci solitons, Ricci flow, and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua
• The Role of Dipole Charges in Black Hole Thermodynamics
• Orthogonal black di-ring solution
• Kaluza-Klein Multi-Black Holes in Five-Dimensional Einstein-Maxwell Theory
• When Black Holes Meet Kaluza-Klein Bubbles
• Negative modes and the thermodynamics of Reissner-Nordström black holes
• Hovering Black Holes from Charged Defects
• Anti-de-Sitter regular electric multipoles: towards Einstein-Maxwell-AdS solitons
• Boosted Black Holes on Kaluza-Klein Bubbles
• Static Einstein-Maxwell black holes with no spatial isometries in AdS space
• Rotating Black Holes on Kaluza-Klein Bubbles
• On the existence of stationary Ricci solitons
• Polarised Black Holes in AdS
• Black rings in global anti-de Sitter space
• Susy Q and spatially modulated deformations of ABJM theory
• A deformed IR: a new IR fixed point for four-dimensional holographic theories
• New phases of $\mathcal{N}=4$ SYM at finite chemical potential
• Extremal black holes that are not extremal: maximal warm holes