Deflection angle of photon from magnetized black hole and effect of nonlinear electrodynamics

Deflection of light by a Coulomb charge in Born-Infeld electrodynamics

We study the propagation of light under a strong electric field in Born-Infeld electrrdynamics. The nonlinear effect can be described by the effective indices of refraction. Because the effective indices of refraction depend on the background electric field, the path of light can be bent when the background field is non-uniform. We compute the bending angle of light by a Born-Infeld-type Coulomb charge in the weak lensing limit using the trajectory equation based on geometric optics. We also compute the deflection angle of light by the Einstein-Born-Infeld black hole using the geodesic equatio…

Regular model of magnetized black hole with rational nonlinear electrodynamics

A modified Hayward metric of magnetically charged black hole space-time based on rational nonlinear electrodynamics with the Lagrangian ${\cal L} = -{\cal F}/(1+2β{\cal F})$ is considered. We introduce the fundamental length, characterizing quantum gravity effects. If the fundamental length vanishes the general relativity coupling to rational nonlinear electrodynamics is recovered. We obtain corrections to the Reissner--Nordström solution as the radius approaches infinity. The metric possesses a de Sitter core without singularities as $r\rightarrow 0$. The Hawking temperature and the heat capa…

非线性电动力学磁化黑洞的扩展相空间热力学

Extended phase space thermodynamics of magnetized black holes with nonlinear electrodynamics

本文研究AdS空间中与非线性电动力学耦合的磁荷黑洞，推导其度规与质量函数，证明扩展相空间中热力学第一定律和广义Smarr关系，并计算磁势、真空极化、吉布斯自由能及热容量。

具有有理非线性电动力学的双荷和磁黑洞

Dyonic and magnetic black holes with rational nonlinear electrodynamics

本文在有理非线性电动力学框架下研究了双荷和磁化黑洞，发现自对偶情况下无库仑定律和Reissner-Nordström解修正，并证明磁黑洞在特定参数范围内存在二阶相变且保持稳定。