Test particle motion along equatorial circular orbits in the revisited Kerr-de Sitter spacetime

TL;DR

This paper analyzes the motion of test particles in the revisited Kerr-de Sitter spacetime, deriving conditions for orbit stability and comparing epicyclic frequencies with the standard Kerr-de Sitter case.

Contribution

It provides new relations for energy, angular momentum, and frequencies of particles on equatorial circular orbits in the revisited Kerr-de Sitter spacetime, including stability criteria.

Findings

Derived relations for specific energy, angular momentum, and angular velocity.

Established criteria for orbit existence and stability.

Compared epicyclic frequencies with standard Kerr-de Sitter results.

Abstract

Both circular and epicyclic motion of test particles along equatorial circular orbits in the revisited Kerr-de Sitter spacetime is analyzed. We present relations for specific energy, specific angular momentum and Keplerian angular velocity of particles on equatorial circular orbits, and discuss criteria for the existence and stability of such orbits giving limits on spacetime parameters. Finally, we discuss the epicyclic motion along equatorial circular orbits obtaining relations for radial and vertical epicyclic frequencies. The results are compared with those for the standard Kerr-de Sitter geometry.