Geodesics of Hayward black hole surrounded by quintessence

TL;DR

This paper investigates the null geodesics, horizons, and shadow of a Hayward black hole surrounded by quintessence with a specific state parameter, providing detailed analysis of its spacetime properties.

Contribution

It introduces a detailed study of null geodesics and black hole shadow for a Hayward black hole influenced by quintessence with a particular state parameter, extending previous models.

Findings

Analysis of null geodesics for different energies

Determination of horizons in the black hole spacetime

Characterization of the black hole shadow

Abstract

Basing on the ideas used by Kiselev, we study the Hayward black hole surrounded by quintessence. By setting for the quintessence state parameter at the special case of $\omega=-\frac{2}{3}$, using the metric of the black hole surrounded by quintessence and the definition of the effective potential, we analyzed in detail the null geodesics for different energies. We also analyzed the horizons of the Hayward black hole surrounded by quintessence as well as the shadow of the black hole.