Embedding hairy black holes in a magnetic universe

Abstract

Ernst's solution generating technique is adapted to Einstein-Maxwell theory conformally (and minimally) coupled to a scalar field. This integrable system enjoys a SU(2,1) symmetry which enables one to move, by Kinnersley transformations, though the axisymmetric and stationary solution space, building an infinite tower of physically inequivalent solutions. As a specific application, metrics associated to scalar hairy black holes, such as the ones discovered by Bocharova, Bronnikov, Melnikov and Bekenstein, are embedded in the external magnetic field of the Melvin universe.

17 pages, V2: final version, to appear in Phys. Rev. D

References in corpus (2)

• Charging axisymmetric space-times with cosmological constant
• Charged C-metric with conformally coupled scalar field

Cited by in corpus (22)

• Stationary axisymmetric spacetimes with a conformally coupled scalar field
• Ehlers transformations as a tool for constructing accelerating NUT black holes
• AdS-Taub-NUT spacetimes and exact black bounces with scalar hair
• Exact rotating wormholes via Ehlers transformations
• Black holes in a swirling universe
• Scalar hairy black holes in Einstein-Maxwell-conformally coupled scalar theory
• Plebanski-Demianski goes NUTs (to remove the Misner string)
• Accelerating and Charged Type I Black Holes
• Removal of conical singularities from rotating C-metrics and dual CFT entropy
• Twisting shadows: Light rings, lensing and shadows of black holes in swirling universes
• Gravitational instantons with conformally coupled scalar fields
• Phase transitions for charged planar solitons in AdS
• Black holes in the external Bertotti-Robinson-Bonnor-Melvin electromagnetic field
• Testing the weak cosmic censorship conjecture for extremal magnetized Kerr-Newman black holes
• A class of Taub-NUT-scalar metrics via Ehlers transformations
• Compact objects with scalar charge embedded in a magnetic or electric field in Einstein-Maxwell-dilaton theories
• Modelling the Sgr A${}^{\ast }$ and M87${}^{\ast }$ shadows by using the Kerr-Taub-NUT metrics in the presence of a scalar field
• A class of charged-Taub-NUT-scalar metrics via Harison and Ehlers Transformations
• Uniqueness of dark matter magnetized static black hole spacetime
• A class of charged and charged-Taub-NUT metrics in the presence of a massless scalar field and some of their astrophysical aspects
• Generation of gravitating solutions with Baryonic charge from Einstein-Scalar-Maxwell seeds
• A Generalized Class of Taub-NUT-Scalar Metrics