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Strong Gravitational Lensing by Kiselev Black Hole

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arxiv 1502.01676 v5 pith:5QQ346EC submitted 2015-02-04 gr-qc

Strong Gravitational Lensing by Kiselev Black Hole

classification gr-qc
keywords blackholekiselevbendingangleextremegravitationallensing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $w_{q}=-\frac{2}{3}$. 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: non-extreme, extreme and naked singularity. We also calculate the approximate bending angle and compare it with exact bending angle. We found the relation of bending angles in the decreasing order as: naked singularity, extreme Kiselev black hole, non-extreme 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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