Quasinormal modes for non-minimally coupled scalar fields in regular black hole spacetimes: Grey-body factors, Area spectrum and Shadow radius

TL;DR

This paper investigates the quasinormal modes of non-minimally coupled scalar fields in regular black hole spacetimes, exploring their implications for grey-body factors, area spectrum, and shadow radius using WKB approximation.

Contribution

It introduces the analysis of quasinormal modes for non-minimally coupled scalar fields in regular black holes, linking these modes to observable black hole characteristics.

Findings

Calculated low-lying quasinormal frequencies using WKB approximation.

Explored the relationship between QNMs and black hole properties like grey-body factors.

Analyzed how scalar field coupling affects black hole shadow radius.

Abstract

Black hole perturbation theory is a useful approach to study interactions between black holes and fundamental fields. A particular class of black hole solutions arising out of modification of Einstein's general theory of relativity are regular black holes (RBHs) which can be constructed using a nonlinear electrodynamic Lagrangian. Because of their importance, we are interested in studying the behavior of three kinds of such RBHs under perturbations generated by an external field. Indeed, we investigate the quasinormal modes (QNMs) of a massive scalar field propagating near the RBHs which is non-minimally coupled to the Ricci scalar tensor of background geometry. We will attempt to find the low-lying quasinormal frequencies of the perturbations by using WKB approximation. We shall also study the relationship between the QNMs and some characteristic properties of black holes such as grey-body factors, area quantization, and shadow radius.