Schwarzschild-AdS Black Holes with Cloud of Strings and Quintessence: Geodesics, Thermodynamic Topology, and Quasinormal Modes

TL;DR

This paper investigates the effects of a cloud of strings and quintessence on Schwarzschild-AdS black holes, analyzing geodesics, thermodynamic topology, and quasinormal modes to understand their impact on black hole properties and stability.

Contribution

It introduces a comprehensive analysis of how cloud of strings and quintessence modify black hole geodesics, thermodynamics, and scalar perturbations within the AdS spacetime.

Findings

CoS and QF significantly alter photon spheres and shadows.

Thermodynamic topology varies with CoS, showing distinct charge configurations.

Quasinormal modes are affected by CoS and QF, influencing oscillation and damping.

Abstract

In this study, we explore a Schwarzschild-anti de-Sitter black hole (BH) coupled with a cloud of strings (CoS) possessing both electric- and magnetic-like components of the string bivector, embedded in a Kiselev-type quintessence fluid (QF). We analyze the dynamics of photons and test particles, focusing on trajectories, photon spheres, BH shadows, and innermost stable circular orbits (ISCO), highlighting how CoS and QF parameters affect these features. We then examine the thermodynamic topology of the system by analyzing vector field zeros, showing that varying CoS leads to distinct topological configurations with total charges of either $0$ or $+1$, corresponding to known classes like RN and AdS-RN. Additionally, we study scalar field dynamics via the massless Klein-Gordon equation, reformulated into a Schr$\ddot{o}$dinger-like form to derive the effective potential. We compute the quasinormal modes (QNMs) of scalar perturbations, showing how CoS and QF influence oscillation frequencies and damping rates, with implications for gravitational confinement and thermalization in the AdS/CFT context.