Frolov Black Hole Surrounded by Quintessence - II: Quasinormal Modes, Greybody Factors, Deflection Angle and Chaos Bound

TL;DR

This paper investigates the effects of quintessence on a Frolov black hole's quasinormal modes, greybody factors, gravitational lensing, and chaos, revealing how quintessence parameters influence these phenomena and the chaos bound.

Contribution

It provides a comprehensive analysis of how quintessence modifies quasinormal modes, greybody factors, lensing, and chaos bounds in Frolov black holes, highlighting new insights into black hole thermodynamics.

Findings

Increased quintessence parameter c slows decay of perturbations.

Greybody factors depend on multipole moment l and black hole parameters.

Chaos bound is violated for small photon orbits, indicating chaos.

Abstract

In this work, we have examined the scalar quasinormal modes, greybody factors, weak gravitational lensing, and the chaos bound of a Frolov black hole surrounded by a quintessence field. We studied the quasinormal frequencies and deduced that an increase in the value of the quintessence parameter $c$ dissipates the oscillatory behavior and thus slow down the decay of perturbations. The greybody factors are highly dependent on the multipole moment $l$ and BH parameters, with a larger $q$ hindering the transmission and smaller $\alpha_0$ making the barrier steeper. The deflection angle of weak lensing under thin lens approximation, monotonically decreases as the value of impact parameter $b$ increases, and is visibly affected by the parameter $c$, and that $\alpha_0$ and $q$ has very minimal effect. Lastly, we investigated the chaos bound behaviour of photon trajectories in the near-horizon neighbourhood, which indicates that it is satisfied for bigger circular photon orbits but broken for smaller ones, with high-angular-momentum photons being chaotic. This violation of the bound points towards the role of quintessence in modifying the thermodynamic features of the BH, with possible adjustments to the standard Bekenstein-Hawking entropy.