Astrophysical observables for regular black holes with sub-Planckian curvature

We investigate the photon sphere and marginally stable circular orbit of massive particles over the re-cently proposed regular black holes with sub-Planckian curvature and a Minkowskian core.We derive the effective potential for geodesic orbits and determine the radius of circular photon orbits,with an analysis of the stability of these orbits.We extend our analysis to the background of a compact massive object(CMO)without a horizon,whose mass is below the lowest bound for the formation of a black hole.For massive particles,marginally stable cir-cular orbits become double-valued in the CMO phase.Through a comparison with Bardeen and Hayward black holes,we also find that the locations of the photon sphere and marginally stable circular orbit in the CMO phase with a Minkowskian core are evidently different from those in the CMO phase with a dS core,which potentially provides a way to distinguish between these two types of black holes by astronomical observation.Finally,we present the ob-servational constraint on the deviation parameter for such regular black holes using observed data from the black hole M87^(*).

眶隔脂肪在睑袋整复术中处理方法的探讨

目的探讨眶隔脂肪在睑袋整复术中的处理方法。方法在外切口睑袋整形术的基础上，将眶隔脂肪剪除改为眶隔剪开、眶脂释放，眶隔缩紧连带眶隔脂肪缝合固定于眶缘下的附着组织上，以填充眶下缘凹陷区，形成丰满的下睑。结果本组32例患者，术后局部略有肿胀，随访1～12个月，无明显的出血瘀斑、下睑后缩、睑球分离、下睑外翻等并发症发生。术后效果满意。结论对伴有眶鼻沟加深、颊部组织松弛的睑袋矫正的患者，将眶隔脂肪重置于眶下缘凹陷区的手术方法值得推广应用。