Bounded Electromagnetic Power Flux at Naked Kasner Singularities
Abstract
In some occasions, it would appear that classical electromagnetic fields could be able to coexist with strong curvature, naked singularities, in the sense that the electromagnetic power flux would be bounded in any open neighborhood of them. We illustrate this rare behavior by considering the naked singularity present in Kasner spacetimes. There, using the Plebanski--Tamm map between Maxwell theory in curved spacetime and the associated description corresponding to an effective anisotropic medium in flat space, we found not only some regular electrostatic field configurations, but also electromagnetic waves whose amplitudes lead to a well defined, bounded power flux as they approach the singularity. Sometimes, in these unusual situations, the singularity resembles a mirror, perfectly reflecting its environs; in other occasions, the existence of a non-null, finite power flux as the waves travel to or from the singular plane, offers a very simple explanation as to how the singularity might absorb or create radiation fields.
Related
- Instability of naked singularities of perfect fluid under C1,α gravitational perturbations
- Interior gravitational perturbations to naked singularities of a scalar field
- A construction of charged naked singularities for the Einstein--Maxwell-charged scalar field equations in 3+1 dimensions
- Naked Singularities and Black Hole Thermodynamics from Shadows and Photon Rings in the Quantum Oppenheimer-Snyder Model
- Naked Singularities beyond Spherical Symmetry: Instability of κ-Self-Similar Solutions via an Iteration Scheme
BibTeX
@misc{fiorini2026bounded,
title = {{Bounded Electromagnetic Power Flux at Naked Kasner Singularities}},
author = {Franco Fiorini and P. A. González and Yerko Vásquez},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01536},
eprint = {2609.01536},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01536},
}
RIS
TY - UNPB
TI - Bounded Electromagnetic Power Flux at Naked Kasner Singularities
AU - Franco Fiorini
AU - P. A. González
AU - Yerko Vásquez
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.01536
UR - https://arxiv.org/abs/2609.01536
AB - In some occasions, it would appear that classical electromagnetic fields could be able to coexist with strong curvature, naked singularities, in the sense that the electromagnetic power flux would be bounded in any open neighborhood of them. We illustrate this rare behavior by considering the naked singularity present in Kasner spacetimes. There, using the Plebanski--Tamm map between Maxwell theory in curved spacetime and the associated description corresponding to an effective anisotropic medium in flat space, we found not only some regular electrostatic field configurations, but also electromagnetic waves whose amplitudes lead to a well defined, bounded power flux as they approach the singularity. Sometimes, in these unusual situations, the singularity resembles a mirror, perfectly reflecting its environs; in other occasions, the existence of a non-null, finite power flux as the waves travel to or from the singular plane, offers a very simple explanation as to how the singularity might absorb or create radiation fields.
ER -