Studying Gravitational Deflection of Light by Kiselev Black Hole via Homotopy Perturbation Method
arXiv:1612.07279 · doi:10.1007/s10714-019-2521-6
Abstract
In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the gravitational deflection of light in General Relativity near Schwarzschild black hole surrounded by quintessence (Kiselev black hole). In order to demonstrate that HPM is able to yield acceptable solutions for the null-geodesics with easily computable terms, the HPM is tested for the simple examples of spherically symmetric spacetimes such as Schwarzschild and Reissner-Nordström black holes. After that, the null-geodesics of light passing the vicinity of Kiselev black hole are studied via the HPM in two particular cases regarding the equation of state parameter of quintessence. In addition, a formula for the angle of deflection has been obtained via HPM in the form of a series which allows to calculate the angle with any accuracy without requirement of its smallness.
16 pages, 2 figures, matches version accepted for publication in General Relativity and Gravitation
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Cited by in corpus (3)
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- Deflection and Gravitational lensing of null and timelike signals in the Kiselev black hole spacetime in the weak field limit
- Probing dark fluids and modified gravity with gravitational lensing