Quasinormal Modes and Greybody Factors of $f(R)$ gravity minimally coupled to a cloud of strings in $2+1$ Dimensions

TL;DR

This paper analyzes the quasinormal modes and greybody factors of a black hole in 2+1 dimensional $f(R)$ gravity coupled with a cloud of strings, revealing stability conditions, decay characteristics, and black hole area quantization.

Contribution

It provides analytical calculations of decay rates, greybody factors, and quasinormal modes for this specific black hole model, including stability analysis and area quantization insights.

Findings

Black hole stability depends on parameter choices.

Derived analytical expressions for decay rates and greybody factors.

Found minimal black hole surface area consistent with Bekenstein's conjecture.

Abstract

In this paper we have studied the propagation of a massless scalar field minimally coupled to a black hole with the source of cloud of strings in $2+1$ $f(R)$gravity theory. In particular we have found analytical results for the decay rate, reflection coefficient, greybody factors, as well as the black hole temperature. On the other hand, our quasinormal modes analyses reveals stability in the propagation of a massless scalar field in the cloud of strings black hole spacetime. However, under a suitable choose of parameters an instability is found. Furthermore based on the Bekenstein conjecture on the quantization of the surface area of the black hole we find the minimal surface area associated to the black hole horizon which is in agreement with Bekenstein's proposal.