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Strong gravitational lensing by Kiselev black hole

Azka YounasDepartment of Physics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), H-12, Islamabad, PakistanMubasher JamilDepartment of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), H-12, Islamabad, PakistanSebastián BahamondeDepartment of Mathematics, University College London, Gower Street, London WC1E 6BT, United KingdomSaqib HussainDepartment of Physics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan
2015en
ABI

Annotatsiya

We investigate the gravitational lensing scenario due to Schwarzschild-like black hole surrounded by quintessence (Kiselev black hole). We work for the special case of Kiselev black hole where we take the state parameter ${w}_{q}=\ensuremath{-}\frac{2}{3}$. For the detailed derivation and analysis of the bending angle involved in the deflection of light, we discuss three special cases of Kiselev black hole: nonextreme, extreme, and naked singularity. We also calculate the approximate bending angle and compare it with the exact bending angle. We found the relation of bending angles in the decreasing order as: naked singularity, extreme Kiselev black hole, nonextreme Kiselev black hole, and Schwarzschild black hole. In the weak field approximation, we compute the position and total magnification of relativistic images as well.

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