Modified Rindler acceleration as a nonlinear electromagnetic effect

Abstract

The model proposed originally by Mannheim and Kazanas for fitting the shapes of galactic rotation curves has recently been considered by Grumiller to describe gravity of a central object at large distances. Herein we employ the same geometry within the context of nonlinear electrodynamics (NED). Pure electrical NED model is shown to generate the novel Rindler acceleration term in the metric which explains anomalous behaviors of test particles / satellites. Remarkably a pure magnetic model of NED yields flat rotation curves that may account for the missing dark matter. Weak and Strong Energy conditions are satisfied in such models of NED.

10 pages one figure, final version accepted for publication in Astroparticle Physics

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Cited by in corpus (7)

• Preliminary constraints on the location of the recently hypothesized new planet of the Solar System from planetary orbital dynamics
• Evading Derrick's theorem in curved space: Static metastable spherical domain wall
• A note on nonlinear electrodynamics
• Conformal Killing gravity in static spherically-symmetric spacetimes
• Robinson--Trautman solution with nonlinear electrodynamics
• The covariant approach to static spacetimes in Einstein and extended gravity theories
• Thermodynamics and reentrant phase transition for logarithmic nonlinear charged black holes in massive gravity