Higher-order geodesic deviations and orbital precession in a Kerr-Newman space-time

Abstract

A novel approximation method in studying the perihelion precession and planetary orbits in general relativity is to use geodesic deviation equations of first and high-orders, proposed by Kerner et.al. Using higher-order geodesic deviation approach, we generalize the calculation of orbital precession and the elliptical trajectory of neutral test particles to Kerr$-$Newman space-times. One of the advantage of this method is that, for small eccentricities, one obtains trajectories of planets without using Newtonian and post-Newtonian approximations for arbitrary values of quantity $GM/R{c}^2$.

15 pages, 3 figures

References in corpus (5)

• Equatorial photon motion in the Kerr-Newman spacetimes with a non-zero cosmological constant
• Geodesic deviation at higher orders via covariant bitensors
• Geodesic Motion of Neutral Particles around a Kerr-Newman Black Hole
• Analytical Computation of the Perihelion Precession in General Relativity via the Homotopy Perturbation Method
• Perihelion advance and trajectory of charged test particles in Reissner-Nordstrom field via the higher-order geodesic deviations