Black holes in the external Bertotti-Robinson-Bonnor-Melvin electromagnetic field
arXiv:2508.12908 · doi:10.1103/c5lw-53yd
Abstract
An exact and analytical solution, in four-dimensional general relativity coupled with Maxwell electromagnetism, is built by means of a Lie point symmetry of the Ernst equations, the Harrison transformation. The new spacetime describes a Schwarzschild-like black hole embedded into a general external back-reacting electromagnetic field, which is the superposition of the Levi-Civita-Bertotti-Robinson and the Bonnor-Melvin ones. The relation between the two homogeneous electromagnetic fields is clarified. Conserved charges and the first law of thermodynamics are analysed. Swirling generalisations are also considered. Limits to the known metrics such as Schwarzschild-Bertotti-Robinson, Schwarzschild-Bonnor-Melvin and Bertotti-Robinson-Bonnor-Melvin are discussed.
arXiv commentv5: 20 pages, 3 figures, final PRD version
References in corpus (19)
- A strong magnetic field around the supermassive black hole at the centre of the Galaxy
- Thermodynamics of Regular Accelerating Black Holes
- Charging axisymmetric space-times with cosmological constant
- Mass of Kerr-Newman Black Holes in an external magnetic field
- Embedding hairy black holes in a magnetic universe
- Black holes in a swirling universe
- Kerr black hole in a uniform Bertotti-Robinson magnetic field: An exact solution
- Plebanski-Demianski goes NUTs (to remove the Misner string)
- Enhanced Ehlers Transformation and the Majumdar-Papapetrou-NUT Spacetime
- Accelerating and Charged Type I Black Holes
- New class of rotating charged black holes with nonaligned electromagnetic field
- Static Axisymmetric Einstein Equations in Vacuum: Symmetry, New Solutions and Ricci Solitons
- Revisiting black holes of algebraic type D with a cosmological constant
- Kerr-Newman black hole in a Melvin-swirling universe
- Non-aligned Einstein-Maxwell Robinson-Trautman fields of Petrov type D
- Most general Type-D Black Hole and the Accelerating Reissner-Nordstrom-NUT-(A)dS solution
- Unified Bertotti-Robinson and Melvin Spacetimes
- Ultrarelativistic boost of a black hole in the magnetic universe of Levi-Civita--Bertotti--Robinson
- Non-expanding Plebanski-Demianski space-times