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Orbital Dynamics Of The Charged Particle In The Gravitational Field Of Kehagias -Sfetsos Black Hole In Horova -Lifshitz Gravity In Presence Of External Magnetic Field

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Abstract

In this paper orbital dynamics of the charged particle have been studied in the vicinity of Kehagias Sfetsos Black hole in Horova -Lifshitz gravity in presence of external magnetic field. With the help of effective potential energy curve and phase plane analysis method the stability of different types of orbits of the charged particle have been discussed. Conditions for stable circular motion has been determined analytically for charged particle . Interaction of magnetic field with the charged particle has been shown by comparing the stability of orbits of the charged particle with the stability of the orbits of the neutral particle. Stability of the orbits of the test particle in the gravitational field of Kehagias-Sfetsos black hole in Horova -Lifshitz Gravity has been compared with the stability of the orbits in the gravitational field of Schwarzschild black hole in General Relativity. Influence of total angular momentum on the charged particle and neutral particle have been discussed. Influence of external magnetic field strength on the charged particle has been discussed also. In presence of external magnetic field innermost stable circular orbit is located close to the black hole horizon.

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  1. Department of Mathematics, Sripat Singh College, Jiaganj, Murshidabad, West Bengal, 742123, India

    Prosanta Mandal

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Mandal, P. Orbital Dynamics Of The Charged Particle In The Gravitational Field Of Kehagias -Sfetsos Black Hole In Horova -Lifshitz Gravity In Presence Of External Magnetic Field. Int J Theor Phys 62, 130 (2023). https://doi.org/10.1007/s10773-023-05392-y

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