Abstract: We have applied the principles of Lyra’s geometry in modifying the Reissner Nordström metric to develop the metric for charged black holes and derived the first two components of the metric from the modified Einstein’s field equation. In this paper we analysed the complex dynamical system for the trajectories of the charged particles in the context of lyra’s geometry based on Sen and Dunn’s modification of the coupled Einstein-maxwell equation. The analysis begins by formulating the modified geodesic equations of motion for the RN metric in Lyra's geometry. As a result some interesting properties of the interaction of charged particles with the Reissner blackhole are studied.
Keywords: Dynamical analysis, Modified Reissner Nordström metric, Lyra's geometry, Scalar field, Phase space analysis, Stability analysis, Bifurcations, Scalar potential, Coupling constants.
Title: Dynamical Analysis of modified Reissner Nordström metric in lyra’s geometry
Author: Swarnabha Debnath, Dr. Biswajit Paul, Dr. Subrata Bhowmik
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 11, Issue 1, April 2023 - September 2023
Page No: 59-74
Research Publish Journals
Website: www.researchpublish.com
Published Date: 10-July-2023
