The flight of the bumblebee: solutions from a vector-induced spontaneous Lorentz symmetry breaking model

TL;DR

This paper explores vacuum solutions from a vector-induced spontaneous Lorentz symmetry breaking model, deriving new black hole solutions and constraining the symmetry breaking scale through observational bounds.

Contribution

It introduces new black hole solutions arising from Lorentz symmetry breaking and analyzes their observational implications.

Findings

Derived vacuum solutions with Lorentz symmetry breaking

Found new black hole solutions in the radial LSB case

Constrained Lorentz symmetry breaking scale using PPN parameters

Abstract

The vacuum solutions arising from a spontaneous breaking of Lorentz symmetry due to the acquisition of a vacuum expectation value by a vector field are derived. These include the purely radial Lorentz symmetry breaking (LSB), radial/temporal LSB and axial/temporal LSB scenarios. It is found that the purely radial LSB case gives rise to new black hole solutions. Whenever possible, Parametrized Post-Newtonian (PPN) parameters are computed and compared to observational bounds, in order to constrain the Lorentz symmetry breaking scale.