Modified Rindler acceleration as a nonlinear electromagnetic effect

TL;DR

This paper demonstrates that nonlinear electrodynamics can produce a Rindler acceleration term explaining anomalous particle behaviors and can also generate flat galactic rotation curves, potentially accounting for dark matter effects.

Contribution

It introduces a novel application of nonlinear electrodynamics to generate Rindler acceleration and flat rotation curves, linking electromagnetic effects to gravitational phenomena.

Findings

Pure electrical NED generates Rindler acceleration explaining anomalies.

Pure magnetic NED produces flat rotation curves consistent with dark matter.

Models satisfy weak and strong energy conditions.

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.