Quasinormal modes and thermodynamic properties of GUP-corrected Schwarzschild black hole surrounded by quintessence

TL;DR

This paper investigates the quasinormal modes and thermodynamic properties of a GUP-corrected Schwarzschild black hole surrounded by quintessence, revealing parameter dependencies and comparing computational methods.

Contribution

It introduces a detailed analysis of GUP and quintessence effects on black hole QNMs and thermodynamics, including method comparisons and remnant predictions.

Findings

QNMs depend significantly on GUP and quintessence parameters

Good agreement between Mashhoon and WKB methods for QNM calculations

Thermodynamic properties vary noticeably with model parameters

Abstract

We study the Quasinormal Modes (QNMs) of the Schwarzschild black hole surrounded by a quintessence field after implementing the quantum corrections to its solution as required by the Generalised Uncertainty Principle (GUP). We analyse the dependence of the QNMs on the deformation parameters of GUP as well as on the quintessence parameter. In most cases the QNMs show the appreciable dependency on these parameters. For a better idea of the accuracy of calculations of QNMs, we compare the results of the QNMs obtained via Mashhoon method with the 6th order WKB method. A good agreement between these two methods of QNM calculations is seen depending on the different factors. Further, we study the thermodynamic properties of the GUP-corrected Schwarzschild black hole and check for any dependence with the deformation parameters and the quintessence parameter. In particular, we compute the Hawking temperature, heat capacity and entropy for the black hole and analyse the results graphically to show the dependency of the thermodynamic properties on the said parameters. We have seen that the thermodynamic properties of black holes also depend noticeably on the model parameters in most cases. Black hole remnants have been studied and it is shown that the possible existence of remnant radius as well as remnant temperature depends on the deformations introduced. However, it is observed that the GUP-corrected black hole constructed here can not become a remnant.