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Phase-plane analysis of test particle orbits in regular black holes
Authors:Muhammed Amir
Affiliation:Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa
Abstract:We investigate phase-plane analysis of general relativistic orbits in a gravitational field of the Reissner–Nordström-type regular black hole spacetime. We employ phase-plane analysis to obtain different phase-plane diagrams of the test particle orbits by varying charge q and dimensionless parameter β, where β contains angular momentum of the test particle. We compute numerical values of radii for the innermost stable orbits and corresponding values of energy required to place the test particle in orbits. Later on, we employ similar analysis on an Ayón–Beato–García (ABG) regular black hole and a comparison regarding key results is also included.
Keywords:black holes  modified gravity  phase-plane diagrams  
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