Generalized Black Holes with Fully Non-aligned Electromagnetic Fields
Abstract
We develop a Plebański--Demiański-adapted parametrization of the general Ovcharenko--Podolský solution and construct new families of generalized black holes in four-dimensional Einstein--Maxwell theory. These Petrov type~D spacetimes possess non-null, fully non-aligned electromagnetic fields. A restriction imposed in the previous parametrization is not required by the field equations in shifted coordinates. Removing it retains an independent charge parameter q, which may be real or purely imaginary. For q2≥0, both the metric and electromagnetic field admit a smooth aligned limit to the charged Plebański--Demiański solution with Λ=0 and e2+g2=q2. We impose angular conditions in the Griffiths--Podolský form allowing Killing horizon cross sections with spherical topology. The resulting eight-parameter class extends the seven-parameter class of Ovcharenko and Podolský [arXiv:2508.04850]. The remaining normalization condition is generically quartic, defining four algebraic branches. We give explicit metrics and electromagnetic fields for the non-twisting and l=0 twisting families and analyze their black hole and acceleration horizons, extremality, conicity, and further limits. We determine the effective-NUT-free branches of the latter family and their degenerate cases. Using the genuine Griffiths--Podolský form, we establish an explicit correspondence between the non-accelerating effective-NUT-free subclass and the Kerr--Newman--Bertotti--Robinson family and express its electromagnetic flux charges in our parameters. The q2<0 sector includes the genuine uncharged Kerr--Bertotti--Robinson solution recently identified by Ovcharenko and Podolský [arXiv:2608.21672].
Related
- Photon Motion and Shadows of Rotating Black Holes with Nonlinear Electromagnetic and Anisotropic Matter Fields
- Primordial black holes and gravitational waves from aligned axion inflation
- Photon rings and shadows of black holes with non-minimal couplings between curvature and electromagnetic field
- Multi-rotating black holes with non-aligned angular momenta in 5D Kaluza-Klein theory
- Scalarized extremal black holes in the Einstein-Maxwell-scalar theory with two U(1) fields
BibTeX
@misc{furugori2026generalized,
title = {{Generalized Black Holes with Fully Non-aligned Electromagnetic Fields}},
author = {Hideo Furugori and Shinya Tomizawa},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.10332},
eprint = {2609.10332},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10332},
}
RIS
TY - UNPB
TI - Generalized Black Holes with Fully Non-aligned Electromagnetic Fields
AU - Hideo Furugori
AU - Shinya Tomizawa
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.10332
UR - https://arxiv.org/abs/2609.10332
AB - We develop a Plebański--Demiański-adapted parametrization of the general Ovcharenko--Podolský solution and construct new families of generalized black holes in four-dimensional Einstein--Maxwell theory. These Petrov type~D spacetimes possess non-null, fully non-aligned electromagnetic fields. A restriction imposed in the previous parametrization is not required by the field equations in shifted coordinates. Removing it retains an independent charge parameter q, which may be real or purely imaginary. For q^2≥0, both the metric and electromagnetic field admit a smooth aligned limit to the charged Plebański--Demiański solution with Λ=0 and e^2+g^2=q^2. We impose angular conditions in the Griffiths--Podolský form allowing Killing horizon cross sections with spherical topology. The resulting eight-parameter class extends the seven-parameter class of Ovcharenko and Podolský [arXiv:2508.04850]. The remaining normalization condition is generically quartic, defining four algebraic branches. We give explicit metrics and electromagnetic fields for the non-twisting and l=0 twisting families and analyze their black hole and acceleration horizons, extremality, conicity, and further limits. We determine the effective-NUT-free branches of the latter family and their degenerate cases. Using the genuine Griffiths--Podolský form, we establish an explicit correspondence between the non-accelerating effective-NUT-free subclass and the Kerr--Newman--Bertotti--Robinson family and express its electromagnetic flux charges in our parameters. The q^2<0 sector includes the genuine uncharged Kerr--Bertotti--Robinson solution recently identified by Ovcharenko and Podolský [arXiv:2608.21672].
ER -