发表机构
New Uzbekistan University; Ulugh Beg Astronomical Institute; Institute of Theoretical Physics, National University of Uzbekistan; School of Physics, Harbin Institute of Technology; Tashkent State University of Economics（新乌兹别克斯坦大学; 乌鲁格别克天文研究所; 乌兹别克斯坦国立大学理论物理研究所; 哈尔滨工业大学物理学院; 塔什干国立经济大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种在广义相对论与非线性电动力学耦合下构造高维规则黑洞的形式体系，统一了Bardeen和Hayward模型，并推导了视界势、扩展第一定律及广义Smarr公式。
AI 中文摘要
我们提出了一种在广义相对论耦合非线性电动力学中构造高维规则黑洞的形式体系，并提出了新一类带电解，该解以单一解析形式统一了Bardeen和Hayward模型，适用于任意$D\geq4$维。Bardeen和Hayward解分别在五维和六维中具有正确的麦克斯韦弱场极限。物质部分写为仅含固定耦合常数的哈密顿密度$\mathcal{H}(P)$，因此质量和电荷作为积分常数出现。所得理论具有双参数解族，其中单参数子族是规则的，且质量与电荷相关联。我们确定了拉格朗日量$Ł(F)$分裂为两支的半径，并证明该半径在$D=4$时总是隐藏在视界内部，但在$D\geq5$时接近极端情形下可能位于视界外部。零能量条件和弱能量条件处处成立，而强能量条件在核心附近被违反。基于我们最近的结果——一旦理论固定，第一定律以其标准形式成立——我们推导了闭合形式下的视界势、以耦合常数为热力学变量的扩展第一定律以及广义的Smarr公式。
英文摘要
We present a formalism for constructing higher-dimensional regular black holes in general relativity coupled to nonlinear electrodynamics, and propose a new class of electrically charged solutions that unifies the Bardeen and Hayward models in a single analytic form valid for any $D\geq4$. The Bardeen and Hayward solutions are shown to have a correct Maxwellian weak-field limit in five and six dimensions, respectively. The matter sector is written as a Hamiltonian density $\mathcal{H}(P)$ containing only fixed coupling constants, so that the mass and the charge enter as integration constants. The resulting theory has a two-parameter family of solutions, of which a one-parameter subfamily is regular, with the mass tied to the charge. We locate the radius at which the Lagrangian $Ł(F)$ splits into two branches and show that it is always hidden inside the horizon for $D=4$ but can lie outside it near extremality for $D\geq5$. The null and weak energy conditions hold everywhere, while the strong energy condition is violated near the core. Building on our recent result that the first law holds in its standard form once the theory is fixed, we derive the horizon potential in closed form, the extended first law with the couplings as thermodynamic variables, and a generalized Smarr formula.
Comments17 pages, 6 figures
