G\"odel solution in the bumblebee gravity

TL;DR

This paper explores the compatibility of the G"odel metric with a bumblebee gravity model that involves spontaneous Lorentz symmetry breaking, showing conditions under which the metric is consistent.

Contribution

It demonstrates that the G"odel metric can be consistent within a bumblebee gravity theory at specific bumblebee field values, linking Lorentz breaking to known solutions.

Findings

G"odel metric is compatible with bumblebee gravity under certain conditions

Spontaneous Lorentz symmetry breaking can coexist with G"odel solutions

Provides insights into Lorentz violation effects in gravitational solutions

Abstract

Here, we consider a gravity theory involving a spontaneous Lorentz symmetry breaking called the bumblebee model. We show that, at certain values of the bumblebee field, the G\"odel metric is consistent within this theory.