Effective perihelion advance and potentials in a conformastatic background with magnetic field

TL;DR

This paper derives and analyzes an exact Einstein-Maxwell solution with a magnetic field, studying particle dynamics and perihelion advance, showing improved agreement with solar system observations over Einstein gravity alone.

Contribution

It presents a new exact conformastatic solution with magnetic fields and analyzes its implications for particle orbits and perihelion shift, enhancing understanding of magnetic effects in galactic and solar system dynamics.

Findings

Magnetic fields improve perihelion advance predictions.

Effective potentials describe particle motion in magnetized spacetime.

Results align better with observational data than Einstein gravity alone.

Abstract

An Exact solution of the Einstein-Maxwell field equations for a conformastatic metric with magnetized sources is study. In this context, effective potential are studied in order to understand the dynamics of the magnetic field in galaxies. We derive the equations of motion for neutral and charged particles in a spacetime background characterized by this class of solutions. In this particular case, we investigate the main physical properties of equatorial circular orbits and related effective potentials. In addition, we obtain an effective analytic expression for the perihelion advance of test particles. Our theoretical predictions are compared with the observational data calibrated with the ephemerides of the planets of the Solar system and the Moon (EPM2011). We show that, in general, the magnetic punctual mass predicts values that are in better agreement with observations than the values predicted in Einstein gravity alone.