Structure of the thin disk in the background of a distorted naked singularity versus a distorted static black hole

Abstract

We consider the standard relativistic geometrically thin and optically thick accretion disc around a distorted static black hole and a distorted naked singularity. The distortion is the result of the existence of a static axisymmetric external distribution of matter via exercising quadrupole moments. Our main purpose of this work is to investigate whether the naked singularity models have their own observational fingerprint if they do exist. In fact, understanding the astrophysical behavior of naked singularities seems to be extremely important in the perspective of general relativity and understanding of black hole physics today.