Magnetized Particle Motion Around Black Hole in Braneworld

TL;DR

This paper studies how a magnetized particle moves around a braneworld black hole in a magnetic field, focusing on how the brane parameter affects orbit stability and effective potential.

Contribution

It introduces the influence of the brane parameter on the effective potential and stability of particle orbits around braneworld black holes, extending previous analyses.

Findings

Circular orbits for photons and slow particles can be stable near r=3M.

Innermost stable circular orbit radii are sensitive to the brane parameter.

The brane parameter significantly affects the effective potential of magnetized particle motion.

Abstract

We investigate the motion of a magnetized particle orbiting around a black hole in braneworld placed in asymptotically uniform magnetic field. The influence of brane parameter on effective potential of the radial motion of magnetized spinning particle around the braneworld black hole using Hamilton-Jacobi formalism is studied. It is found that circular orbits for photons and slowly moving particles may become stable near $r = 3M$. It was argued that the radii of the innermost stable circular orbits are sensitive on the change of brane parameter. Similar discussion without Weil parameter has been considered by de Felice et all in Ref. \refcite{rs99,98}.