A New Approach for Calculation of Quasi-Normal Modes and Topological Charges of Regular Black Holes

TL;DR

This paper investigates the thermodynamics, emission, quasi-normal modes, and topological properties of a special regular black hole, providing new insights into its physical behavior and characteristics.

Contribution

It introduces a novel analysis of a specific regular black hole's thermodynamics, quasi-normal modes, and topological charges, including the effects of parameter variations.

Findings

Hawking temperature and remnant properties are characterized.

Quasi-normal modes are calculated using Rosen-Morse potential.

Topological behavior of the black hole is analyzed.

Abstract

This study examines the properties of a special regular black hole. This analysis investigates the Hawking temperature, remnant radius and mass, as well as the effect of parameter $\xi$ on thermodynamic quantities like entropy, heat capacity, and free energy. The emission rate, evaporation process, quasi-normal modes by calculating Rosen-Morse potential, and topological behavior of the black hole are also explored.