# Quasi-normal modes of bumblebee wormhole

## TL;DR

This paper calculates the quasi-normal modes of a bumblebee wormhole, a theoretical model based on Lorentz-violating gravity, showing stable oscillations for scalar and gravitational perturbations.

## Contribution

It introduces a bumblebee wormhole model that satisfies energy conditions without exotic matter and computes its QNMs using WKB approximation.

## Key findings

- QNMs are stable with decreasing oscillation profiles
- Bumblebee wormhole satisfies energy conditions without exotic matter
- Both scalar and gravitational perturbations exhibit similar damping behavior

## Abstract

In this work, we calculate the quasi-normal frequencies from a bumblebee traversable wormhole. The bumblebee wormhole model is based on the bumblebee gravity, which exhibits a spontaneous Lorentz symmetry breaking. Supporting by the Lorentz violation parameter $\lambda$, this model allows the fulfillment of the flare-out and energy conditions, granted non-exotic matter to the wormhole. We analyze the parameters of bumblebee wormhole in order to obtain a Reege-Wheeler's equation with a bell-shaped potential. We obtain the quasi-normal modes (QNMs) via the WKB approximation method for both scalar and gravitational perturbations. All frequencies obtained are stable and the time domain profiles have decreasing oscillation (damping) profiles for the bumblebee wormhole.