Effective potential and topological photon spheres:a novel approach to black hole parameter classification  

作　　者：Mohammad Ali S.Afshar Jafar Sadeghi 

机构地区：[1]Department of Physics,Faculty of Basic Sciences,University of Mazandaran 47416-95447,Babolsar,Iran [2]Canadian Quantum Research Center,204-300232 Ave Vernon,BC V1T 2L7,Canada

出　　处：《Chinese Physics C》2025年第3期222-241,共20页中国物理C(英文版)

摘　　要：this paper,we base our analysis on the assumption that the existence of a photon sphere is an intrinsic characteristic of any ultra-compact gravitational structure with spherical symmetry.Utilizing the concept of a topological photon sphere,we categorize the behaviors of various gravitational models based on the structure of their photon spheres.This innovative approach enables us to define boundaries for black hole parameters,subsequently enabling us to classify the model as either a black hole or naked singularity.We demonstrate that the presence of this interplay between the gravitational structure and the existence of a photon sphere is a unique advantage that can be utilized from both perspectives.Our observations indicate that a gravitational model typically exhibits the behavior ofa horizonless structure(or naked singularity)when a minimum effective potential(a stable photon sphere)appears within the studied spacetime region.Additionally,in this study,we investigate the effect of this structure on the behavior of the photon sphere by selecting models that are affected by Perfect Fluid Dark Matter(PFDM).Finally,by analyzing a model with multiple event horizons,we show that the proposed method remains applicable evenin suchscenarios.

关 键 词：black hole photon sphere topological classification different parameters 

分 类 号：O17[理学—数学]