Anti-gravity and/or dark matter contributions from massive gravity

TL;DR

This paper explores solutions in massive gravity theories that could explain dark matter effects or anti-gravity phenomena through modified black holes with unique stability and behavior properties.

Contribution

It introduces new static spherically symmetric solutions in massive gravity with Lorentz invariance breaking, highlighting their potential to mimic dark matter or anti-gravity effects.

Findings

Solutions have two integration constants unlike General Relativity.

Solutions can be stable against small perturbations.

They exhibit both attractive and repulsive behaviors at large distances.

Abstract

Recently, the static spherically symmetric solution of the gravitational field equations have been found in theories describing massive graviton with spontaneous breaking of the Lorentz invariance. These solutions, which show off two integration constants instead of one in General Relativity, are discussed. They are candidates for modified black holes provided they are stable against small perturbations. These solutions may have both attractive or repulsive behavior at large distances. Therefore, these modified black holes may mimics the presence of dark matter or be a source of anti-gravity.