论文标题
旋转BTZ黑洞的非线性电动力学概括
Non-linear electrodynamics generalization of the rotating BTZ black hole
论文作者
论文摘要
我们获得了两种精确的爱因斯坦重力溶液，耦合到$（2+ 1）$ - 尺寸抗DE保姆（ADS）时空中的非线性电动力学（NLED）。该解决方案的特征是质量$ M $，Angular Mommentum $ j $，宇宙常数或（抗）de Sitter参数$λ$和电磁参数$ Q $，该参数与第一个解决方案中的电场和第二个解决方案的电荷有关。根据参数的范围，解决方案允许一个带电的旋转旋转广告黑洞（BH）解释或带电的渐近旋转旋转广告可遍历的虫洞（WH）。如果关闭电磁场，则回收了固定的Bañados-teitelboim-Zanelli（BTZ）BH；我们的BH-WH解决方案是固定BTZ-BH的非线性概括。此外，与BTZ指标相反，派生的ADS解决方案在某些半径$ r_ {s} \ neq 0 $上是单数的，类似于Kerr-Newman SpaceTime的戒指奇异性；虽然如果$λ$为正，则第二个解决方案的曲率不变性是有限的。
We obtain two exact solutions of Einstein gravity coupled to nonlinear electrodynamics (NLED) in $(2+ 1)$-dimensional Anti-de Sitter (AdS) spacetime. The solutions are characterized by the mass $M$, angular momentum $J$, cosmological constant or (anti) de Sitter parameter $Λ$, and an electromagnetic parameter $Q$, that is related to an electric field in the first solution and to a magnetic charge for the second solution. Depending on the range of the parameters, the solutions admit a charged rotating asymptotically AdS black hole (BH) interpretation or a charged rotating asymptotically AdS traversable wormhole (WH). If the electromagnetic field is turned off, the stationary Bañados-Teitelboim-Zanelli (BTZ) BH is recovered; in such a way that our BH-WH solutions are nonlinear charged generalizations of the stationary BTZ-BH. Moreover, in contrast to the BTZ metric, the derived AdS solutions are singular at certain radius $r_{s} \neq 0$, resembling the ring singularity of the Kerr-Newman spacetime; while if $Λ$ is positive the curvature invariants of the second solution are finite.
