Matter-induced global regularity in non-polynomial quasi-topological gravity with Born-Infeld electrodynamics
Abstract
We construct exact static, spherically symmetric charged solutions in four-dimensional non-polynomial quasi-topological gravity coupled to Born-Infeld electrodynamics. We focus on the model h(p)=p/(1+ℓ2p), whose vacuum branch develops a curvature singularity at a finite radius. We show that Born-Infeld nonlinearities can remove this singularity within a finite region of parameter space, yielding globally regular geometries with an asymptotically flat exterior and a finite-curvature AdS-type core. The regular sector contains both horizonless configurations and RBHs, separated by a degenerate-horizon boundary. We further identify a continuous branch of regular black holes with a triple-degenerate inner horizon and a simple outer event horizon, satisfying κ-=0 and κ+≠0. These results provide a converse example to cases in which introducing charge spoils the regularity of a black hole that is regular in vacuum. In the present model, Born-Infeld electrodynamics instead removes the finite-radius singularity of a gravitational branch that is singular in vacuum and supports globally regular charged geometries, including regular black holes with nontrivial inner-horizon structure.
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BibTeX
@misc{liu2026matterinduced,
title = {{Matter-induced global regularity in non-polynomial quasi-topological gravity with Born-Infeld electrodynamics}},
author = {Hong-Lin Liu and Zhong-Wen Feng and Qing-Quan Jiang and Xia Zhou and Xue-Ling Mu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.07576},
eprint = {2609.07576},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.07576},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Matter-induced global regularity in non-polynomial quasi-topological gravity with Born-Infeld electrodynamics
AU - Hong-Lin Liu
AU - Zhong-Wen Feng
AU - Qing-Quan Jiang
AU - Xia Zhou
AU - Xue-Ling Mu
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.07576
UR - https://arxiv.org/abs/2609.07576
AB - We construct exact static, spherically symmetric charged solutions in four-dimensional non-polynomial quasi-topological gravity coupled to Born-Infeld electrodynamics. We focus on the model h(p)=p/(1+ℓ^2p), whose vacuum branch develops a curvature singularity at a finite radius. We show that Born-Infeld nonlinearities can remove this singularity within a finite region of parameter space, yielding globally regular geometries with an asymptotically flat exterior and a finite-curvature AdS-type core. The regular sector contains both horizonless configurations and RBHs, separated by a degenerate-horizon boundary. We further identify a continuous branch of regular black holes with a triple-degenerate inner horizon and a simple outer event horizon, satisfying κ_-=0 and κ_+≠0. These results provide a converse example to cases in which introducing charge spoils the regularity of a black hole that is regular in vacuum. In the present model, Born-Infeld electrodynamics instead removes the finite-radius singularity of a gravitational branch that is singular in vacuum and supports globally regular charged geometries, including regular black holes with nontrivial inner-horizon structure.
ER -