Spherical photon orbits around a rotating black hole with quintessence and cloud of strings

Understand

In this paper, we calculate the analytical solutions for the radii of planar and polar spherical photon orbits around a rotating black hole that is associated with quintessential field and cloud of strings.

• This includes a full analytical treatment of a quintic that describes orbits on the equatorial plane.
• Furthermore, The radial profile of the impact parameters is studied and the radii corresponding to the extreme cases are derived.
• For the more general cases, we also discuss the photon regions that form around this black hole.