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Dynamics of spinning test particles around the Kerr–Newman–NUT black hole with quintessence in the Rastall gravity

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Abstract

This work is devoted to the study of motion of spinning test particles in the spacetime of the Kerr–Newman–NUT black hole with quintessence, in the Rastall gravity theory. We use the so-called Mathisson–Papapetrous–Dixon equation to investigate the dynamics of spinning test particles. We discuss the effect of the particle’s spin, s, and the spacetime parameters on the effective potential. Then, we focus on the innermost stable circular orbits (ISCOs) and show the dependence of the ISCO radius on the particle’s spin for different values of the metric parameters graphically. Then, we investigate the specific energy and the orbital angular momentum of the particle at the ISCO. Our results show that the black hole’s spin parameter a has an evident influence on the ISCO radius, followed by the quintessential parameter, \(\alpha\), the quintessence state parameter, \(\omega\), and the Rastall gravity parameter, \(\kappa \lambda\). We also discuss the constraint on the particle’s spin due to the superluminal bound for co-rotating and counter-rotating orbits, which changes depending on the values of the black hole’s parameters. Finally, we compare our results with the results for the Kerr black hole. We found that spacetime parameters increase the ISCO radius for co-rotating and counter-rotating circular orbits. Nevertheless, the energy at the ISCO is not affected strongly by the spacetime parameters for higher values of |s|.

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Data Availability Statement

This manuscript has no associated data. (There is no observational data related to this article.)

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Acknowledgements

F.A. is supported by the Uzbekistan Agency for Innovative Development Grant F-FA-2021-510. C.A.B.G. acknowledge the support of the Ministry of Science and Technology of China (Grant No. 2020SKA0110201) and the National Science Foundation of China (Grants No. 11835009). A.A. and B.A. acknowledge the support of the Uzbekistan Agency for Innovative Development Grants F-FA-2021-432, F-FA-2021-510, MRB-2021-527 and the Abdus Salam International Centre for Theoretical Physics under the Grant No. OEA-NT-01. Haiguang Xu is supported by the Ministry of Science and Technology of China (Grant No. 2020SKA0110201) and the National Science Foundation of China (Grant No. 11835009).

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Authors and Affiliations

  1. New Uzbekistan University, Mustaqillik Avenue 54, 100007, Tashkent, Uzbekistan

    Farrux Abdulxamidov

  2. Ulugh Beg Astronomical Institute, Astronomy St. 33, 100052, Tashkent, Uzbekistan

    Farrux Abdulxamidov, Bakhtiyor Narzilloev, Ahmadjon Abdujabbarov & Bobomurat Ahmedov

  3. Institute of Nuclear Physics, Ulugbek 1, 100214, Tashkent, Uzbekistan

    Farrux Abdulxamidov & Ahmadjon Abdujabbarov

  4. School of Physics and Astronomy, Shanghai Jiao Tong University, 800 Dongchuan Road, Minhang, Shanghai, 200240, People’s Republic of China

    Carlos A. Benavides-Gallego & Haiguang Xu

  5. Shanghai Frontiers Science Center of Gravitational Wave Detection, 800 Dongchuan Road, Minhang, Shanghai, 200240, People’s Republic of China

    Carlos A. Benavides-Gallego & Haiguang Xu

  6. School of Engineering, Central Asian University, 111221, Tashkent, Uzbekistan

    Bakhtiyor Narzilloev

  7. Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Kori Niyoziy, 39, 100000, Tashkent, Uzbekistan

    Bakhtiyor Narzilloev

  8. Samarkand State University, University Avenue 15, 140104, Samarkand, Uzbekistan

    Bakhtiyor Narzilloev

  9. School of Electrical Engineering and Computer Science, National University of Sciences and Technology, H-12, Islamabad, Pakistan

    Ibrar Hussain

  10. Tashkent State Technical University, 100095, Tashkent, Uzbekistan

    Ahmadjon Abdujabbarov

  11. National University of Uzbekistan, 100174, Tashkent, Uzbekistan

    Ahmadjon Abdujabbarov & Bobomurat Ahmedov

  12. Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan

    Bobomurat Ahmedov

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  1. Farrux Abdulxamidov
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Correspondence to Ibrar Hussain.

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Abdulxamidov, F., Benavides-Gallego, C.A., Narzilloev, B. et al. Dynamics of spinning test particles around the Kerr–Newman–NUT black hole with quintessence in the Rastall gravity. Eur. Phys. J. Plus 138, 635 (2023). https://doi.org/10.1140/epjp/s13360-023-04283-9

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