Scattering and absorption sections of Schwarzschild-anti de Sitter with quintessence

TL;DR

This paper investigates how quintessence influences the scattering and absorption properties of Schwarzschild-anti de Sitter black holes, providing critical parameter values and analyzing effects on classical and semi-classical cross-sections.

Contribution

It introduces the effects of quintessence on black hole scattering and absorption, including critical values and extremal conditions, with specific analysis for certain state parameters.

Findings

Quintessence affects scattering cross-sections significantly.

Absorption sections are studied using sinc approximation in the eikonal limit.

Critical values of cosmological constant and normalization factor are determined.

Abstract

In this paper, we study the scattering and absorption sections of the Schwarzschild--anti de Sitter black hole surrounded by quintessence. The critical values of the cosmological constant and the normalization factor are obtained. We describe the event horizons and the extremal condition of the black hole surrounded by quintessence. The effects of quintessence on the classical and semi--classical scattering cross--sections have been estimated. Also, the absorption section is studied with the sinc approximation in the eikonal limit. We consider the quintessence state parameter in the particular cases $\omega=-2/3$ and $\omega=-1/2$.