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

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.

11 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1601.00746

References in corpus (4)

• Circular motion of neutral test particles in Reissner-Nordström spacetime
• Possible features of galactic halo with electric field and observational constraints
• The Large-Scale Magnetic Field Structure of Our Galaxy: Efficiently Deduced from Pulsar Rotation Measures
• Test particles in a magnetized conformastatic spacetime