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Shadow and deflection angle of rotating black hole in asymptotically safe gravity
Annals of Physics ( IF 3 ) Pub Date : 2020-09-01 , DOI: 10.1016/j.aop.2020.168252
Rahul Kumar , Balendra Pratap Singh , Sushant G. Ghosh

Abstract We analytically investigate the shadows cast by rotating black holes in the asymptotically safe gravity (ASG) by deriving complete null geodesics and observables using the Hamilton–Jacobi equation and Carter separable method. It turns out that the apparent shape and size of the shadow depend on the ASG parameters ( ζ , γ ) in addition to other black hole parameters ( M , a ). The size of black hole shadows monotonically decrease and shadows get more distorted with increasing values of ASG parameters, when compared with the Kerr black hole shadows. In turn, we use shadow observables to estimate black hole spin and ASG parameters. Noteworthy, we find that the deflection angle of the light has been modified by ASG parameters to generalize the Kerr deflection angle, and the corrections in deflection angle are of O ( μ as). In the vanishing limits of ASG parameters our results smoothly reduced to the Kerr black holes. The inferred circularity deviation Δ C ≤ 0 . 10 for the M87* black hole shadow merely constrains the ASG parameter ζ , however, shadow angular diameter θ d = 42 ± 3 μ as, within the 1 σ region, places bounds ζ ≤ 0 . 1324 for γ = 0 . 10 .

中文翻译:

渐近安全重力下旋转黑洞的阴影和偏转角

摘要 我们通过使用 Hamilton-Jacobi 方程和 Carter 可分离方法推导完整的零测地线和可观测值,分析研究了渐近安全重力 (ASG) 中旋转黑洞投射的阴影。事实证明,除了其他黑洞参数 ( M , a ) 之外,阴影的表观形状和大小还取决于 ASG 参数 ( ζ , γ )。与 Kerr 黑洞阴影相比,随着 ASG 参数值的增加,黑洞阴影的大小单调减小并且阴影变得更加扭曲。反过来,我们使用阴影观测值来估计黑洞自旋和 ASG 参数。值得注意的是,我们发现光的偏转角已通过 ASG 参数修改以概括 Kerr 偏转角,并且偏转角的校正为 O ( μ as)。在 ASG 参数的消失极限中,我们的结果平滑地减少到克尔黑洞。推断的圆度偏差Δ C ≤ 0 。对于 M87* 黑洞阴影,10 仅约束 ASG 参数 ζ,但是,阴影角直径 θ d = 42 ± 3 μ,因为在 1 σ 区域内,设置边界 ζ ≤ 0。1324 为 γ = 0 。10 .
更新日期:2020-09-01
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