论文标题
揭示第一个非线性带电的旋转黑洞的电动力学
Unveiling the electrodynamics of the first nonlinearly charged rotating black hole
论文作者
论文摘要
经过多年的努力，Garcia-Diaz最终在最近的两件作品中报告了第一个非线性旋转黑洞。这是一个重要的结果，因为尚不清楚Kerr-Newman解决方案的非线性概括。不幸的是，使用基本功能的标准不变式来表达支持此配置的拉格朗日。在目前的工作中，我们通过使用Salazar，Garcia-Diaz和Plebanski引入的混合电磁特征值来避免使用非线性电动力学的配方。在这样做时，我们证明了基本理论已完全确定，因此发现的新发现的非电荷固定轴对称空间对应于明确定义的自我填充的非线性非线性电动动力学的精确解，其基本结构功能在此提供了基本的结构功能。
After many years of efforts, the first nonlinearly charged rotating black hole has been finally reported by Garcia-Diaz in two recent works. This is an important result that was pending in General Relativity, since nonlinear generalizations of the Kerr-Newman solution were not yet known. Unfortunately, the Lagrangian supporting this configuration cannot be expressible in terms of the standard invariants using elementary functions. In the present work we circumvent this problem by using the formulations of nonlinear electrodynamics in terms of mixed electromagnetic eigenvalues, introduced by Salazar, Garcia-Diaz and Plebanski almost four decades ago. In doing so, we prove that the underlying theory becomes fully determined, and hence the new found nonlinearly charged stationary axisymmetric spacetimes correspond to exact solutions of a well-defined self-gravitating nonlinear electrodynamics whose fundamental structural functions are provided here.
