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

Abstract

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. To simulate the orbits that appear in different inclinations, we analytically solve the latitudinal and azimuth equations of motion in terms of the Weierstrassian elliptic functions, by considering the radii of spherical orbits, in their general form, as the initial conditions. The period and the stability conditions of the orbits are also obtained analytically.

28 pages, 36 figures, 2 tables

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• Parameter constraints from shadows of Kerr-Newman-dS black holes with cloud strings and quintessence
• Topological dyonic black holes of massive gravity with generalized quasitopological electromagnetism
• Analytical study of particle geodesics around a scale-dependent de Sitter black hole
• Shadow analysis of an approximate rotating black hole solution with weakly coupled global monopole charge
• Light propagation around a Kerr-like black hole immersed in an inhomogeneous anisotropic plasma in Rastall gravity: Analytical solutions to the equations of motion
• Null geodesics around a black hole with weakly coupled global monopole charge
• Spherical particle orbits around a rotating black hole in massive gravity