Quasinormal modes of the bumblebee black holes with a global monopole

TL;DR

This paper analyzes quasinormal modes of test fields around black holes with a global monopole in bumblebee gravity, revealing universal behavior in extreme limits and providing analytical formulas for various parameter regimes.

Contribution

It introduces analytical and numerical methods to compute quasinormal modes in bumblebee gravity with a global monopole, highlighting universal behavior and deriving explicit formulas.

Findings

Oscillation frequencies decrease with increasing monopole parameter.

In the extreme limit, quasinormal modes show universal behavior with unchanged oscillation frequency.

Analytical formulas for quasinormal modes are derived in specific limits.

Abstract

We compute quasinormal modes of test fields around spherically symmetric black holes with a global monopole in bumblebee gravity. The frequency of oscillation and the damping rate exhibit significant decreasing as the global monopole parameter is increased. An intriguing observation arises in the extreme limit, where the quasinormal modes manifest a form of universal behavior: the actual oscillation frequency remains unaltered despite variations in the Lorentz symmetry breaking (LSB) parameter. Our calculations are conducted through two distinct methods, both of which yield results that align remarkably well. Furthermore, we derive an analytical formula for quasinormal modes within the eikonal approximation and beyond it. In the limits of either vanishing deficit angle or bumblebee parameters, the compact and sufficiently accurate analytic expressions for quasinormal modes are obtained.