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arXiv 2101.08409gr-qc
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带电和荷磁黑洞的弱偏转角

Weak deflection angle by electrically and magnetically charged black holes from nonlinear electrodynamics

Qi-Ming Fu, Li Zhao, Yu-Xiao Liu

摘要:

非线性电动力学(NLED)理论是强场域经典电动力学的扩展,在寻找规则黑洞解方面得到了广泛的研究。本文基于两种NLED模型:Euler-Heisenberg NLED模型和Bronnikov NLED模型,研究了两个球对称静态黑洞解,并利用Gauss-Bonnet定理计算了光在这两个黑洞上的弱偏转角.研究了量子电动力学的单圈修正对偏转角的影响,分析了规则磁荷黑洞的偏转角行为。结果表明,带电Einstein-Euler-Heisenberg黑洞的弱偏转角随单圈修正的增加而增大,而基于Bronnikov NLED模型的规则磁荷黑洞的偏转角比奇异黑洞的偏转角小.此外,我们也利用测地线法计算光线偏折角,以作验证。此外,我们还讨论了非磁化冷等离子体对偏转角的影响,发现偏转角随等离子体参数的增大而增大。

英文摘要:

Nonlinear electrodynamic (NLED) theories are well-motivated for their extensions to classical electrodynamics in the strong field regime, and have been extensively investigated in seeking for regular black hole solutions. In this paper, we focus on two spherically symmetric and static black hole solutions based on two types of NLED models: the Euler-Heisenberg NLED model and the Bronnikov NLED model, and calculate the weak deflection angle of light by these two black holes with the help of the Gauss-Bonnet theorem. We investigate the effects of the one-loop corrections to quantum electrodynamics on the deflection angle and analyse the behavior of the deflection angle by a regular magnetically charged black hole. It is found that the weak deflection angle of the electrically charged Einstein-Euler-Heisenberg black hole increases with the one-loop corrections and the regular magnetically charged black hole based on the Bronnikov NLED model has a smaller deflection angle than the singular one. Besides, we also calculate the deflection angle of light by the geodesic method for verification. In addition, we discuss the effects of a cold non-magnetized plasma on the deflection angle and find that the deflection angle increases with the plasma parameter.

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