Geodesics of Hayward black hole surrounded by quintessence

Basing on the ideas used by Kiselev, we study the Hayward black hole surrounded by quintessence. The values critical of mass and the normalization factor are obtained. We also described the horizons and the extremal condition of the Hayward black hole surrounded by quintessence. By setting for the quintessence state parameter at the particular case of omega = 2/3, we study the effective potential, and we analyzed in detail the null geodesics for different energies as well as the behavior of horizons. Finally, the shadow of the black hole is explored.

Automated summary

In this study, the Hayward black hole surrounded by quintessence is examined based on Kiselev's ideas. Critical values of mass and normalization factor are derived, and the horizons and extremal condition are described. By setting the quintessence state parameter at omega = 2/3, the effective potential is studied, null geodesics for different energies are analyzed, and the behavior of horizons is explored, with the shadow of the black hole being ultimately investigated.