In a recent paper Ovalle et al. (2021) it has been obtained new static black hole solutions with primary hairs by the Gravitational Decoupling. In this work we either study the geodesic motion of massive and massless particles around those solutions and restrict the values of the primary hairs by observational data. In particular, we obtain the effective potential, the innermost stable circular orbits, the marginally bounded orbit, and the periastron advance for time-like geodesics. In order to restrict the values taken by the primary hairs we explore their relationship with the rotation parameter of the Kerr black hole giving the same innermost stable circular orbit radius and give the numerical values for the supermassive black holes at Ark 564 and NGC 1365. The photon sphere and the impact parameter associated to null geodesics are also discussed.

在最近的一篇论文中，Ovalle 等人。(2021) 已经通过引力解耦获得了具有初级毛发的新静态黑洞解。在这项工作中，我们要么研究这些解周围的大质量和无质量粒子的测地线运动，要么通过观测数据限制初级毛发的值。特别是，我们获得了类时测地线的有效势、最内稳定圆形轨道、边缘有界轨道和近天体推进。为了限制初级毛发所取的值，我们探讨了它们与克尔黑洞旋转参数的关系，给出了相同的最内稳定圆形轨道半径，并给出了方舟 564 和 NGC 1365 超大质量黑洞的数值。