Black holes in a swirling universe

Abstract

We present a new solution in Einstein's General Relativity representing a Schwarzschild black hole immersed in a rotating universe. Such a solution is constructed analytically by means of the last unexplored Lie point symmetry of the Ernst equations for stationary and axisymmetric spacetimes. This kind of the Ehlers transformation is able to embed any given solution into a rotating background, which is not of NUT type. We analyse the physical properties, ergoregions and geodesics of the new metric, which is regular outside the event horizon and has a well defined thermodynamics. We finally consider the Kerr generalisation.

v4: 22 pages, 11 figures, updated pictures about geodesic motion

References in corpus (4)

• Central Charges in Extreme Black Hole/CFT Correspondence
• Charging axisymmetric space-times with cosmological constant
• Stationary axisymmetric spacetimes with a conformally coupled scalar field
• Embedding hairy black holes in a magnetic universe

Cited by in corpus (18)

• Ehlers transformations as a tool for constructing accelerating NUT black holes
• Electromagnetized black holes and swirling backgrounds in nonlinear electrodynamics: The ModMax case
• Exact rotating wormholes via Ehlers transformations
• Plebanski-Demianski goes NUTs (to remove the Misner string)
• Mixing "Magnetic'' and "Electric'' Ehlers--Harrison transformations: The Electromagnetic Swirling Spacetime and Novel Type I Backgrounds
• 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
• Kerr-Newman black hole in a Melvin-swirling universe
• Equivalence principle and generalised accelerating black holes from binary systems
• Symmetry reduction of gravitational Lagrangians
• Black holes in the external Bertotti-Robinson-Bonnor-Melvin electromagnetic field
• Accretion Structures around Kerr Black Holes in a Swirling Background
• Rotating and swirling binary black hole system balanced by its gravitational spin-spin interaction
• Double Wick rotations between symmetries of Taub-NUT, near-horizon extreme Kerr, and swirling spacetimes
• Chaotic motion of particles around a dyonic Kerr-Newman black hole immersed in the Melvin-swirling universe
• Static hairy black hole in 4D General Relativity
• Gravitational waves from equatorially eccentric extreme mass ratio inspirals around swirling Kerr black holes