论文标题
非线性电动力学来源的常规黑洞
Regular black holes sourced by nonlinear electrodynamics
论文作者
论文摘要
本文是对静态，球体对称的常规黑洞解决方案的存在和基本特性的简要回顾，其中重力来源由非线性电磁场带有Lagrangian函数$ L $的非线性电磁场来表示，取决于单个不变的$ f = f = f = f_ {n $ l（ {^*} f_ {μν} f^{μν} $，其中$ {^*} f_ {μν} $是$ f_ {μν} $的hodge dual，或$ l（f，j）$，其中$ j = f_ = f_ = f_ = f_ = f_ {μν} f^f^} f _} f _} f^f^} $}讨论了许多无关定理，揭示了时空无法具有常规中心的条件，其中有关$ l（f，j）$理论的定理可能是新的。这些结果涉及常规的黑洞和无范围的常规颗粒或星形物体（孤子）。因此，只有在没有麦克斯韦弱场限制的非线性电动力学（NED）的情况下，具有电荷$ q_e \ ne 0 $的解决方案中的常规中心才有可能。如果系统仅包含磁充电$ q_m \ ne 0 $，则具有$ L（f）$和$ L（f）$和$ l（f，j）$ ned的常规解决方案。然而，在这种解决方案中，因果关系和单位性以及动态稳定条件在中心附近不可避免地违反。讨论了一些特定的例子。
The paper is a brief review on the existence and basic properties of static, spherically symmetric regular black hole solutions of general relativity, where the source of gravity is represented by nonlinear electromagnetic fields with the Lagrangian function $L$ depending on the single invariant $f = F_{μν}F^{μν}$ or on two variables: either $L(f, h)$, where $h = {^*}F_{μν} F^{μν}$, where ${^*}F_{μν}$ is the Hodge dual of $F_{μν}$, or $L(f, J)$, where $J = F_{μν}F^{νρ} F_{ρσ} F^{σμ}$. A number of no-go theorems are discussed, revealing the conditions under which the space-time cannot have a regular center, among which the theorems concerning $L(f,J)$ theories are probably new. These results concern both regular black holes and regular particlelike or starlike objects (solitons) without horizons. Thus, a regular center in solutions with an electric charge $q_e\ne 0$ is only possible with nonlinear electrodynamics (NED) having no Maxwell weak field limit. Regular solutions with $L(f)$ and $L(f, J)$ NED, possessing a correct (Maxwell) weak-field limit, are possible if the system contains only a magnetic charge $q_m \ne 0$. It is shown, however, that in such solutions the causality and unitarity as well as dynamic stability conditions are inevitably violated in a neighborhood of the center. Some particular examples are discussed.
