Schwarzschild Black Hole in Uniform Magnetic Field in Einstein-Maxwell-Dilaton Theories
Abstract
We obtain the Kerr black hole in an external uniform magnetic field in the Kaluza-Klein (KK) theory via a standard solution-generating technique. Using this as our starting point, we construct exact static solutions describing a Schwarzschild black hole immersed in the external uniform magnetic field in general string-inspired Einstein-Maxwell-dilaton (EMD) theories, thereby embedding the static Kerr-Bertotti-Robinson (KBR) solution into the general framework of EMD theories. We also construct electrovacuum solutions involving both electric and magnetic fields in EMD theories and generalize the system to include mutltiple Maxwell fields and dilatons. These equations of motion can be reduced to Toda-like equations, allowing us to obtain analytic electrovacua associated with Toda equations of all rank-2 Lie groups. We further construct exact solutions of a Schwarzschild black hole immersed in these electrovacua.
Related
- Exact Thermodynamics and Two-Horizon Relations of Four Rotating Einstein-Maxwell-Maxwell-Dilaton Embeddings
- Nonlinear Phase Mixing in Einstein-Vlasov System near Schwarzschild Spacetime
- Ovcharenko-Podolsky Einstein-Maxwell gravitational instantons
- Scalarized extremal black holes in the Einstein-Maxwell-scalar theory with two U(1) fields
- Deriving Schwarzschild and Kerr from the Einstein Equivalence Principle
BibTeX
@misc{ma2026schwarzschild,
title = {{Schwarzschild Black Hole in Uniform Magnetic Field in Einstein-Maxwell-Dilaton Theories}},
author = {Liang Ma and Peng-Yu Wu and H. Lu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.19261},
eprint = {2609.19261},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.19261},
}
RIS
TY - UNPB
TI - Schwarzschild Black Hole in Uniform Magnetic Field in Einstein-Maxwell-Dilaton Theories
AU - Liang Ma
AU - Peng-Yu Wu
AU - H. Lu
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.19261
UR - https://arxiv.org/abs/2609.19261
AB - We obtain the Kerr black hole in an external uniform magnetic field in the Kaluza-Klein (KK) theory via a standard solution-generating technique. Using this as our starting point, we construct exact static solutions describing a Schwarzschild black hole immersed in the external uniform magnetic field in general string-inspired Einstein-Maxwell-dilaton (EMD) theories, thereby embedding the static Kerr-Bertotti-Robinson (KBR) solution into the general framework of EMD theories. We also construct electrovacuum solutions involving both electric and magnetic fields in EMD theories and generalize the system to include mutltiple Maxwell fields and dilatons. These equations of motion can be reduced to Toda-like equations, allowing us to obtain analytic electrovacua associated with Toda equations of all rank-2 Lie groups. We further construct exact solutions of a Schwarzschild black hole immersed in these electrovacua.
ER -