论文标题
非线性电动力学对奇异性分辨率的限制
Constraints on singularity resolution by nonlinear electrodynamics
论文作者
论文摘要
长期存在的问题之一是寻求常规的黑洞解决方案，在这种情况下，通过某个物理合理的经典领域，已经实现了时空奇异性的分辨率，然后才能诉诸量子重力。 Bronnikov的No-Go定理限制了使用非线性电磁场进行此目标的前景，该定理的重点是Lagrangians，具体取决于电磁不变的$ f_ {ab} f^{ab} $。我们通过考虑了依赖两个电磁不变的拉格兰吉亚人的结果，即$ f_ {ab} f^{ab} $和$ f_ {ab {ab} \，{\ star f^{ab}} $，并证明了更大的Maxwellian弱势群体之间的紧张局面，该构成了更多的群体，以此构成了更多的境界，该构成的范围是con的范围，并证明了更多的群体之间的紧张关系。
One of the long standing problems is a quest for regular black hole solutions, in which a resolution of the spacetime singularity has been achieved by some physically reasonable, classical field, before one resorts to the quantum gravity. The prospect of using nonlinear electromagnetic fields for this goal has been limited by the Bronnikov's no-go theorems, focused on Lagrangians depending on the electromagnetic invariant $F_{ab}F^{ab}$ only. We extend Bronnikov's results by taking into account Lagrangians that depend on both electromagnetic invariants, $F_{ab}F^{ab}$ and $F_{ab}\,{\star F^{ab}}$, and prove that the tension between the Lagrangian's Maxwellian weak field limit and boundedness of the curvature invariants persists in more general class of theories.
