PreprintCC BY-NC-SA 4.0arXiv
Reissner-Nordstrom in the Bertotti-Robinson-Bonnor-Melvin electromagnetic field
Abstract
The magnetic Reissner-Nordstrom black hole embedded into the Bertotti-Robinson magnetic field is presented. Then it is used, as a seed, to generate, through the Harrison transformation of the Ersnt's equations, the Reissner-Nordstrom metric in the Bertotti-Robinson-Bonnor-Melvin magnetic field. Special cases generalising, the vacuum hairy type I Schwarzschild solution is discussed. The local equivalence between various forms of the Schwarzschild-Bertotti-Robinson is shown by exhibiting the explicit diffeomorphism.
Related
- Dilatonic Reissner--Nordström black holes in a Bertotti--Robinson magnetic background
- On the Extended Kerr-Newman-Bertotti-Robinson Spacetime: Two Black Holes and a Naked Singularity in Bertotti-Robinson Universe
- Thermodynamics of Kerr-Bertotti-Robinson black hole
- From Bertotti–Robinson to vacuum: New exact solutions in general relativity via Harrison and Inversion symmetries
- Dynamics, ringdown, and accretion-driven multiple quasi-periodic oscillations of Kerr–Bertotti–Robinson black holes
BibTeX
@misc{astorino2026reissnernordstrom,
title = {{Reissner-Nordstrom in the Bertotti-Robinson-Bonnor-Melvin electromagnetic field}},
author = {Marco Astorino},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.00882},
eprint = {2609.00882},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.00882},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Reissner-Nordstrom in the Bertotti-Robinson-Bonnor-Melvin electromagnetic field
AU - Marco Astorino
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2609.00882
UR - https://arxiv.org/abs/2609.00882
AB - The magnetic Reissner-Nordstrom black hole embedded into the Bertotti-Robinson magnetic field is presented. Then it is used, as a seed, to generate, through the Harrison transformation of the Ersnt's equations, the Reissner-Nordstrom metric in the Bertotti-Robinson-Bonnor-Melvin magnetic field. Special cases generalising, the vacuum hairy type I Schwarzschild solution is discussed. The local equivalence between various forms of the Schwarzschild-Bertotti-Robinson is shown by exhibiting the explicit diffeomorphism.
ER -