Chaotic Characteristics of RN Black Holes

Abstract

The nonlinear characteristics of general relativity are manifested in the chaotic behavior of black holes. Foot points of chaos can give an insight to understanding black hole phenomena. This paper aims to identify and analyze the chaotic behavior of Reissner Nordstrom(RN) black holes. A trajectory analysis of a test particle near Reissner Nordstrom metric performed using the Euler Lagrangian and action angle variable methods. The presence of  homoclinic orbit implies the existence of chaos in dynamical system .We have  evaluated the cutoff radial distance for the onset of chaotic motion for Reissner Nordstrom black holes metric with different charges. We have shown that geodesic motion around RN black holes with different charge values may become chaotic. A comparative analysis of  the  effective potential for Schwarzschild and RN black holes, along with an examination of homoclinic orbit, is presented in this paper. Therefore, we can say that these  findings can lead to astrophysical application in many body relativistic models.