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Parameter estimation of hairy Kerr black holes from its shadow and constraints from M87*
Monthly Notices of the Royal Astronomical Society ( IF 4.7 ) Pub Date : 2021-04-30 , DOI: 10.1093/mnras/stab1260
Misba Afrin 1 , Rahul Kumar 1 , Sushant G Ghosh 1, 2
Affiliation  

The recently obtained hairy Kerr black holes, due to additional sources or surrounding fluid, like dark matter, with conserved energy-momentum tensor, have a deviation α and primary hair l0, apart from rotation parameter a and mass M. In the wake of the Event Horizon Telescope (EHT) observations of the supermassive black hole M87*, a recent surge in interest in black hole shadows suggests comparing the black holes in general relativity and modified theories of gravity to assess these models’ differences. Motivated by this, we take on an extensive study of the rotating hairy Kerr black holes, which encompasses, in particular cases, the Kerr black hole (α = 0). We investigate ergosphere and shadows of the black holes to infer that their size and shape are affected due to the l0 and are found to harbour a richer chaotic structure. In particular, the hairy Kerr black holes possess smaller size but more distorted shadows when compared with Kerr black holes. We also estimate the parameters l0 and a associated with hairy Kerr black holes using the shadow observables. The inferred circularity deviation ΔC ≤ 0.1 for the M87* black hole is satisfied, whereas shadow angular diameter θd = 42 ± 3μas, within 1σ region, for a given choice of α, places bounds on the parameters a and l0. Interestingly, the shadow axial ratio obeying 1 < Dx ≲ 4/3 is in agreement with the EHT results and thus eventuates in the hairy Kerr black holes being suitable candidates for astrophysical black holes.

中文翻译:

毛克尔黑洞的阴影参数估计和 M87* 的约束

最近获得的毛克尔黑洞,由于额外的来源或周围的流体,如暗物质,具有守恒的能量-动量张量,除了旋转参数 a 和质量 M 外,存在偏差 α 和初级毛 l0。事件视界望远镜 (EHT) 对超大质量黑洞 M87* 的观测,最近对黑洞阴影的兴趣激增,这表明比较广义相对论中的黑洞和修正的引力理论来评估这些模型的差异。受此启发,我们对旋转的毛茸茸的克尔黑洞进行了广泛的研究,其中包括,在特定情况下,克尔黑洞 (α = 0)。我们研究了黑洞的能层和阴影,以推断它们的大小和形状受到 l0 的影响,并且发现它们具有更丰富的混沌结构。特别是,与克尔黑洞相比,毛茸茸的克尔黑洞体积更小,但阴影更扭曲。我们还使用阴影观测值估计了与多毛克尔黑洞相关的参数 l0 和 a。M87* 黑洞的推断圆度偏差 ΔC ≤ 0.1 得到满足,而阴影角直径 θd = 42 ± 3μas,在 1σ 区域内,对于给定的 α 选择,参数 a 和 l0 有界限。有趣的是,阴影轴比服从 1 < Dx ≲ 4/3 与 EHT 结果一致,因此毛茸茸的克尔黑洞成为天体物理黑洞的合适候选者。我们还使用阴影观测值估计了与多毛克尔黑洞相关的参数 l0 和 a。M87* 黑洞的推断圆度偏差 ΔC ≤ 0.1 得到满足,而阴影角直径 θd = 42 ± 3μas,在 1σ 区域内,对于给定的 α 选择,参数 a 和 l0 有界限。有趣的是,阴影轴比服从 1 < Dx ≲ 4/3 与 EHT 结果一致,因此毛茸茸的克尔黑洞成为天体物理黑洞的合适候选者。我们还使用阴影观测值估计了与多毛克尔黑洞相关的参数 l0 和 a。M87* 黑洞的推断圆度偏差 ΔC ≤ 0.1 得到满足,而阴影角直径 θd = 42 ± 3μas,在 1σ 区域内,对于给定的 α 选择,参数 a 和 l0 有界限。有趣的是,阴影轴比服从 1 < Dx ≲ 4/3 与 EHT 结果一致,因此毛茸茸的克尔黑洞成为天体物理黑洞的合适候选者。
更新日期:2021-04-30
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