Dynamics Of A Test Particle Inside The Kerr-Newman De/Anti De Sitter Black Hole

Abstract

In this paper we deduce the geodesic equations of motion of a test particle in the Kerr-Newman de/anti de Sitter black hole by using the relativistic Hamilton-Jacobi partial differential equation method. We discuss the possible orbits that a particle may describe inside and outside the rotating/non-rotating charged black hole with negligible gravitational and electromagnetic radiation in the framework of Kerr-Newman de/anti de Sitter space times. It is found that there are bound periodic stable orbits in the regions of 0 < r < r_ in which r_ is the inner horizon the black hole.

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