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Imprints of dark matter on wormhole geometry in modified teleparallel gravity

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Abstract

This study is devoted to explore the physical aspects of dark matter on wormhole geometry with the galactic halo regime in the \(f(\mathcal {T},T)\) gravity. To complete this analysis, we consider the diagonal tetrad for \(f(\mathcal {T},T)\) gravity and explore the field equations for Morris and Thorne metric in the Schwarzschild coordinates. The crucial aspect of the present investigation is the implication of dark matter to find traversable wormhole solutions in galactic halos. Implementation of the dark matter halos turns out to be very interesting as this corresponds to the new wormhole solutions in the framework of \(f(\mathcal {T},T)\) gravity, which is recently ignited by the natural prediction of late-time stages and early stages of the accelerated expansion of our Universe. We provide a detailed analysis supported by four different profiles of dark matter halos. We solve the filed equations of the \(f(\mathcal {T}, T)\) gravity and find exact solutions for wormholes that are immersed in the galactic halo. Further, we use the obtained shape functions for the galactic halo wormhole to analyze the energy conditions and discuss the presence of exotic matter. We observe that our obtained solutions for four different density profiles of dark matter halos are viable.

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This manuscript has no associated data, or the data will not be deposited. (There is no observational data related to this article. The necessary calculations and graphic discussion can be made available on request.)

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Acknowledgements

G. Mustafa is very thankful to Prof. Gao Xianlong from the Department of Physics, Zhejiang Normal University, for his kind support and help during this research. Further, G. Mustafa acknowledges Grant No. ZC304022919 to support his Postdoctoral Fellowship at Zhejiang Normal University. This work was supported by the National Key R &D Program of China under grants No. 2021YFA1400900, 2021YFA0718300, 2021YFA1402100, NSFC under grants Nos. 61835013, 12234012, Space Application System of China Manned Space Program. This research is partly supported by Research Grant F-FA-2021-510 of the Uzbekistan Ministry for Innovative Development.

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Authors and Affiliations

  1. Department of Physics, Zhejiang Normal University, Jinhua, 321004, People’s Republic of China

    G. Mustafa

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

    Ibrar Hussain

  3. New Uzbekistan University, Mustaqillik ave. 54, 100007, Tashkent, Uzbekistan

    Farruh Atamurotov

  4. Akfa University, Milliy Bog’ Street 264, 111221, Tashkent, Uzbekistan

    Farruh Atamurotov

  5. Inha University in Tashkent, Ziyolilar 9, 100170, Tashkent, Uzbekistan

    Farruh Atamurotov

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

    Farruh Atamurotov

  7. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China

    Wu-Ming Liu

  8. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100190, China

    Wu-Ming Liu

  9. Songshan Lake Materials Laboratory, Dongguan, 523808, Guangdong, China

    Wu-Ming Liu

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

    Farruh Atamurotov

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  1. G. Mustafa
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Mustafa, G., Hussain, I., Atamurotov, F. et al. Imprints of dark matter on wormhole geometry in modified teleparallel gravity. Eur. Phys. J. Plus 138, 166 (2023). https://doi.org/10.1140/epjp/s13360-023-03775-y

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