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Shadow and weak gravitational lensing of a rotating regular black hole in a non-minimally coupled Einstein-Yang-Mills theory in the presence of plasma

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Abstract

The null geodesics of the regular and rotating magnetically charged black hole in a non-minimally coupled Einstein-Yang-Mills theory surrounded by a plasma medium is studied. The effect of magnetic charge and Yang-Mills parameter on the effective potential and radius of photon orbits has investigated. We then study the shadow of a regular and rotating magnetically charged black hole along with the observables in the presence of the plasma medium. The presence of plasma medium affects the apparent size of the shadow of a regular rotating black hole in comparison with vacuum case. Variation of shadow radius and deformation parameter with Yang-Mills and plasma parameter has examined. Furthermore, the deflection angle of the massless test particles in weak field approximation around this black hole spacetime in the presence of homogeneous plasma medium is also investigated. Finally, we have compared the obtained results with Kerr-Newman and Schwarzschild black hole solutions in general relativity (GR).

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Acknowledgements

The authors HN and SK are thankful to the Uttarakhand State Council of Science and Technology (UCOST), Dehradun, for financial assistance through R&D grant number UCS&T/RD-18/18-19/16038/4. The authors HN and PS acknowledge the financial support provided by Science and Engineering Research Board (SERB), New Delhi, through the grant number EMR/2017/000339. All authors also acknowledge the facilities at ICARD, Gurukula Kangri (Deemed to be University), Haridwar, India.

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Authors and Affiliations

  1. Department of Applied Sciences (Physics), Quantum University, Roorkee, Uttarakhand, 247167, India

    Shubham Kala

  2. Department of Physics, Gurukula Kangri (Deemed to be University), Haridwar, Uttarakhand, 249404, India

    Shubham Kala & Hemwati Nandan

  3. Center for Space Research, North-West University, Mahikeng, 2745, South Africa

    Hemwati Nandan

  4. Department of Physics, Chandigarh University, Mohali, Punjab, 140413, India

    Prateek Sharma

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  1. Shubham Kala
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Kala, S., Nandan, H. & Sharma, P. Shadow and weak gravitational lensing of a rotating regular black hole in a non-minimally coupled Einstein-Yang-Mills theory in the presence of plasma. Eur. Phys. J. Plus 137, 457 (2022). https://doi.org/10.1140/epjp/s13360-022-02634-6

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