Charged particle in higher dimensional weakly charged rotating black hole spacetime

Abstract

Charged particle motion in weakly charged higher dimensional black holes is studied. To describe the electromagnetic field it is used a test field approximation and the higher dimensional Kerr-NUT-(A)dS metric as a background geometry.

It is shown that for a special configuration of the electromagnetic field, the equations of motion of charged particles are completely integrable.

Keywords

• higher-dimensional black-hole spacetimes
• charged particle motion
• general relativity
• Kerr-NUT-(A)dS metric