Entropy correction and quasinormal modes of slowly rotating Kerr-Newman-de Sitter-like black hole in bumblebee gravity

TL;DR

This paper explores quantum gravity effects on the thermodynamics and quasinormal modes of a slowly rotating Kerr-Newman-de Sitter-like black hole within bumblebee gravity, highlighting modifications due to the generalized uncertainty principle and Lorentz violation.

Contribution

It introduces a detailed analysis of entropy correction, quasinormal modes, and Hawking radiation modifications for black holes in bumblebee gravity, incorporating GUP and Lorentz violation effects.

Findings

Quantum gravity reduces the Hawking temperature increase.

Entropy and greybody factors are significantly affected by Lorentz violation.

Quasinormal modes are computed using WKB and P{"o}schl-Teller methods.

Abstract

In this paper, we study the tunneling of fermion particle for slowly rotating Kerr-Newman-de Sitter-like (KNdS-like) black hole in bumblebee gravity model by applying the generalized uncertainty principle (GUP). The Hawking temperature of slowly rotating KNdS-like black hole has been modified under GUP. The quantum gravity effect reduces the rise of Hawking temperature of slowly rotating KNdS-like black hole. The modified Hawking temperature and the correction of black hole entropy are investigated by using the tunneling of fermion beyond the semiclassical approximation. We study the scalar field perturbation and effective potential of slowly rotating KNdS-like black hole in bumblebee gravity model by using Klein-G\"{o}rdon equation. The quasinormal modes for scalar perturbation is investigated using WKB approximation method and P{\"o}schl-Teller fitting method. The significant impact on the greybody factor, Hawking spectra and sparsity of Hawking radiation of the black hole are also studied in the presence of Lorentz violating parameter L.