Effective potential and geodesic motion in Kerr-de Sitter space-time

TL;DR

This paper analyzes geodesic trajectories in Kerr-de Sitter spacetime, deriving potential energy and velocity variations for particles around rotating black holes with a cosmological constant.

Contribution

It provides a mathematical analysis of particle motion in Kerr-de Sitter space, including potential energy and velocity profiles for specific parameter values.

Findings

Potential energy varies with distance for given parameters.

Velocity profiles depend on cosmological constant and black hole parameters.

Results applicable to particle dynamics near rotating black holes with cosmological constant.

Abstract

In the present work, geodesic trajectories in Kerr-de Sitter geometry is analyzed. From the mathematical solution of Lagrangian formalism appropriate to motions in the equatorial plane (for which 'theta' = 0 and 'theta' = (constant)= pi/2) can give potential energy of massive and massless particles for rotating axisymetric black hole. From this, for a particular value of cosmological constant, Kerr parameter, mass, angular momentum and impact parameter; variation of potential with distance can be found. Similarly, for a particular value of cosmological constant, mass and Kerr parameter; variation of velocity with distance can be found.