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Description
Spherical orbits around rotating black holes have a major astrophysical importance. In the presence of quintessential matter [1, 2], the geodesic equations can be investigated using a combined numerical-analytical approach [3]. One may notice significant differences compared to the results previously derived for Kerr black holes [4]. Also, as it is known, the rotating black holes produce shadows that differ significantly from those of nonrotating black hokes which are perfectly circular. By comparing the theoretically derived shadow’s observables with data on M87 and Sgr A from the Event Horizon Telescope, one may impose constraints on the black hole's parameters and highlight the impact of quintessence [5].
References
[1] V.V. Kiselev. Quintessence and black holes. Classical and Quantum Gravity. 20(6), 1187 (2003)
[2] B. Toshmatov, Z. Stuchlik and B. Ahmedov. Rotating black hole solutions with quintessential energy. European Physical Journal Plus 132(2), 98 (2017)
[3] M.A. Dariescu, V. Lungu, C. Dariescu and C. Stelea. Charged particles in the background of the Kiselev solution in power-Maxwell electrodynamics. Physical Review D 109(2), 024021 (2024)
[4] E. Teo. Spherical photon orbits around a Kerr Black Hole. General Relativity and Gravitation 35, 1909 (2003)
[5] S. Haroon et. al. Shadow and deflection angle of rotating black holes in perfect fluid dark matter with a cosmological constant. Physical Review D 99(4), 044015 (2019)