Dymnikova Black Holes in Unimodular Gravity: Maxwell Sources and Vacuum Contributions
Abstract
In this work, we investigate the Dymnikova regular black hole within the framework of unimodular gravity, emphasizing the role of the effective vacuum sector in the regularization of the geometry. By allowing a controlled violation of the covariant conservation of the energy--momentum tensor, the cosmological contribution emerges dynamically as a radial-dependent function, Λ=Λ(r). We first reinterpret the Dymnikova spacetime as a charged configuration supported by nonlinear electrodynamics and derive the corresponding electric and magnetic sources. Subsequently, we demonstrate that the same geometry can be consistently generated by standard Maxwell electrodynamics in unimodular gravity. In this construction, the resulting electric field is everywhere regular and corresponds to a localized charge distribution with vanishing asymptotic charge, indicating that the spacetime does not behave as an asymptotically charged object.
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BibTeX
@misc{alencar2026dymnikova,
title = {{Dymnikova Black Holes in Unimodular Gravity: Maxwell Sources and Vacuum Contributions}},
author = {G. Alencar and V. H. U. Borralho},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.15255},
eprint = {2605.15255},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.15255},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Dymnikova Black Holes in Unimodular Gravity: Maxwell Sources and Vacuum Contributions
AU - G. Alencar
AU - V. H. U. Borralho
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2605.15255
UR - https://arxiv.org/abs/2605.15255
AB - In this work, we investigate the Dymnikova regular black hole within the framework of unimodular gravity, emphasizing the role of the effective vacuum sector in the regularization of the geometry. By allowing a controlled violation of the covariant conservation of the energy--momentum tensor, the cosmological contribution emerges dynamically as a radial-dependent function, Λ=Λ(r). We first reinterpret the Dymnikova spacetime as a charged configuration supported by nonlinear electrodynamics and derive the corresponding electric and magnetic sources. Subsequently, we demonstrate that the same geometry can be consistently generated by standard Maxwell electrodynamics in unimodular gravity. In this construction, the resulting electric field is everywhere regular and corresponds to a localized charge distribution with vanishing asymptotic charge, indicating that the spacetime does not behave as an asymptotically charged object.
ER -