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

TL;DR

This paper explores vacuum solutions in a gravity model with spontaneous Lorentz symmetry breaking induced by a vector field, leading to new black hole solutions and observational constraints on the symmetry breaking scale.

Contribution

It provides new black hole solutions and analyzes observational bounds in a gravity model with vector-induced spontaneous Lorentz symmetry breaking.

Findings

Derived new black hole solutions with radial Lorentz symmetry breaking

Computed PPN parameters and constrained Lorentz breaking scale

Analyzed different symmetry breaking configurations (radial, temporal, axial)

Abstract

We study the vacuum solutions of a gravity model where Lorentz symmetry is spontaneously broken once a vector field acquires a vacuum expectation value. Results are presented for the purely radial Lorentz symmetry breaking (LSB), radial/temporal LSB and axial/temporal LSB. The purely radial LSB result corresponds to new black hole solutions. When possible, Parametrized Post-Newtonian (PPN) parameters are computed and observational boundaries used to constrain the Lorentz symmetry breaking scale.