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Weak deflection angle of Kazakov–Solodukhin black hole in plasma medium using Gauss–Bonnet theorem and its greybody bonding

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Abstract

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 \(l=0\) and \(M=1\) and observed that increasing the deformation parameter a will decrease the rigorous bound \(T_b\) of the black hole.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: Data available on request from the authors.]

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Acknowledgements

The authors are grateful to the anonymous referees for their valuable comments and suggestions to improve the paper. The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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Authors and Affiliations

  1. Division of Science and Technology, University of Education, Township, Lahore, 54770, Pakistan

    Wajiha Javed & Iqra Hussain

  2. Physics Department, Eastern Mediterranean University, North Cyprus via Mersin 10, 99628, Famagusta, Turkey

    Ali Övgün

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  1. Wajiha Javed
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Javed, W., Hussain, I. & Övgün, A. Weak deflection angle of Kazakov–Solodukhin black hole in plasma medium using Gauss–Bonnet theorem and its greybody bonding. Eur. Phys. J. Plus 137, 148 (2022). https://doi.org/10.1140/epjp/s13360-022-02374-7

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