https://doi.org/10.1140/epjp/s13360-022-02374-7
Regular Article
Weak deflection angle of Kazakov–Solodukhin black hole in plasma medium using Gauss–Bonnet theorem and its greybody bonding
1
Division of Science and Technology, University of Education, 54770, Township, Lahore, Pakistan
2
Physics Department, Eastern Mediterranean University, North Cyprus via Mersin 10, 99628, Famagusta, Turkey
Received:
27
October
2021
Accepted:
11
January
2022
Published online:
21
January
2022
In this paper, we study light rays in a Kazakov–Solodukhin black hole. To this end, we use the optical geometry of the Kazakov–Solodukhin black hole within the Gauss–Bonnet theorem. We first show the effect of the deformation parameter a on the Gaussian optical curvature, and then, we use the modern method popularized by Gibbons and Werner to calculate the weak deflection angle of light. Our calculations of deflection angle show how gravitational lensing is affected by the deformation parameter a. Moreover, we demonstrate the effect of a plasma medium on weak gravitational lensing by the Kazakov–Solodukhin black hole. We discuss that the increasing the deformation parameter a will increase the weak deflection angle of the black hole. Our analysis also uncloak how one may find a observational evidence for a deformation parameter on the deflection angle. In addition, we studied the rigorous bounds of the Kazakov–Solodukhin black hole for the grey body factor and also studied the graphical behaviour of the bounds by fixing 
and 
and observed that increasing the deformation parameter a will decrease the rigorous bound 
of the black hole.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
