发表机构
School of Physics and Astronomy, China West Normal University; College of Electronic Information and Electrical Engineering, Chengdu University（西华师范大学物理与天文学院; 成都大学电子信息工程学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在非多项式拟拓扑引力与Born-Infeld电动力学耦合下构造全局正则带电黑洞，证明非线性电动力学可消除真空奇点，并发现具有三重简并内视界的新正则黑洞分支。
AI 中文摘要
我们在四维非多项式拟拓扑引力与Born-Infeld电动力学耦合的框架下，构造了精确的静态、球对称带电解。我们聚焦于模型$h(p)=p/(1+\ell^{2}p)$，其真空分支在有限半径处产生曲率奇点。我们证明，Born-Infeld非线性项可以在参数空间的有限区域内消除该奇点，从而产生全局正则几何，其外部为渐近平坦区域，内部为有限曲率的AdS型核心。正则扇区包含无视界构型和正则黑洞（RBHs），两者由简并视界边界分隔。我们进一步识别出一个连续的正则黑洞分支，其具有三重简并内视界和简单外事件视界，满足$\kappa_-=0$和$\kappa_+\neq0$。这为引入电荷会破坏真空正则黑洞正则性的情形提供了一个反例。在当前模型中，Born-Infeld电动力学反而消除了真空奇异引力分支的有限半径奇点，同时支持全局正则带电几何，包括具有非平凡内视界结构的正则黑洞。
英文摘要
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 $h(p)=p/(1+\ell^{2}p)$, 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 $κ_+\neq0$. 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.
Comments15 pages, 6 figures
