Boosted Kerr Black Hole in the Presence of Plasma

Carlos A. Benavides-Gallego; Ahmadjon-Abdujabbarov Abdujabbarov

doi:10.3390/proceedings2019017006

and

¹

Center for Field Theory and Particle Physics and Department of Physics, Fudan University, Shanghai 200438, China

²

Ulugh Beg Astronomical Institute, Astronomicheskaya 33, Tashkent 100052, Uzbekistan

^*

Author to whom correspondence should be addressed.

^†

Presented at the Recent Progress in Relativistic Astrophysics, Shanghai, China, 6–8 May 2019.

Proceedings2019, 17(1), 6;https://doi.org/10.3390/proceedings2019017006

This article belongs to the Proceedings Recent Progress in Relativistic Astrophysics

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Abstract

In this work, we obtain the deflection angle for a boosted Kerr black hole in the weak field approximation using the optics in a curved spacetime developed by J. L. Synge in 1960. We study the behavior of light in the presence of plasma by considering different distributions: uniform plasma, singular isothermal sphere, non-singular isothermal gas sphere, and plasma in a galaxy cluster. We found that the dragging of the inertial system along with the boosted parameter

Λ

affect the value of the deflection angle. As an application, we studied the magnification for both uniform and singular isothermal distributions.

Keywords:

optics in curved spacetimes; gravitational lensing; weak field limit; boosted Kerr metric; plasma distribuions; magnification

Boosted Kerr Black Hole in the Presence of Plasma^†

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Boosted Kerr Black Hole in the Presence of Plasma †

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Boosted Kerr Black Hole in the Presence of Plasma^†