Reply to "Comment on 'Greybody radiation and quasinormal modes of Kerr-like black hole in Bumblebee gravity model' "

TL;DR

This paper clarifies the conditions under which previous analyses of greybody factors and quasinormal modes in a Kerr-like black hole within Bumblebee gravity are valid, correcting earlier inaccuracies and presenting revised results.

Contribution

It provides a correction and clarification of the conditions necessary for valid greybody and quasinormal mode analyses in Bumblebee gravity black holes.

Findings

Revised calculations under correct conditions

Identification of the invalidity of previous Kerr-like solutions

Updated results aligning with the corrected conditions

Abstract

In our recent study Ref. [1]: Eur. Phys. J. C 81, 501 (2021) , the main goal was to reveal the Lorentz symmetry breaking (LSB) effect in the rotating black holes via the greybody factor and quasinormal mode analyzes. Ding et al. [2] Kerr-like black hole solution of the bumblebee gravity model used in our paper [1] has unquestionably proven by Maluf and Muniz [3] that it is wrong. We now explain under which condition the greybody factor and quasinormal mode analyzes performed in [1] become valid. We re-make the calculations according to the condition in question and present the new results in this reply.