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 $GM/R{c}^2$.

arXiv comment15 pages, 3 figures

References in corpus (19)

• The motion of point particles in curved spacetime
• Equatorial circular orbits of neutral test particles in the Kerr--Newman spacetime
• Compact calculation of the Perihelion Precession of Mercury in General Relativity, the Cosmological Constant and Jacobi's Inversion problem
• Equatorial photon motion in the Kerr-Newman spacetimes with a non-zero cosmological constant
• Relativistic Epicycles : another approach to geodesic deviations
• Components of the gravitational force in the field of a gravitational wave
• Geodesic deviation at higher orders via covariant bitensors
• Geodesic Motion of Neutral Particles around a Kerr-Newman Black Hole
• Motions and world-line deviations in Einstein-Maxwell theory
• Geodesic Deviation in Kaluza-Klein Theories
• Higher-order geodesic deviations applied to the Kerr metric
• Perturbations of Keplerian Orbits in Stationary Spherically Symmetric Spacetimes
• Computation of the general relativistic perihelion precession and of light deflection via the Laplace-Adomian Decomposition Method
• Post-Newtonian light propagation in Kerr-Newman spacetime
• Worldine deviations and epicycles
• Analytical Computation of the Perihelion Precession in General Relativity via the Homotopy Perturbation Method
• Analytical computation of the Mercury perihelion precession via the relativistic gravitational law and comparison with general relativity
• Perihelion advance and trajectory of charged test particles in Reissner-Nordstrom field via the higher-order geodesic deviations
• Geodesics on a Kerr-Newman-(anti-)de Sitter instanton