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Thin-shell wormhole under non-commutative geometry inspired Einstein–Gauss–Bonnet gravity

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Abstract

Einstein–Gauss–Bonnet gravity is a generalization of the general relativity to higher dimensions in which the first- and second-order terms correspond to general relativity and Einstein–Gauss–Bonnet gravity, respectively. We construct a new class of five-dimensional (5D) thin-shell wormholes by the ‘Cut–Paste’ technique from black holes in Einstein–Gauss–Bonnet gravity inspired by non-commutative geometry starting with a static spherically symmetric, Gaussian mass distribution as a source and for this structural form of the thin-shell wormhole we have explored several salient features of the solution, viz., pressure–density profile, equation of state, the nature of wormhole, total amount of exotic matter content at the shell. We have also analyzed the linearized stability of the constructed wormhole. From our study we can assert that our model is found to be plausible with reference to the other model of thin-shell wormhole available in literature.

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Acknowledgements

NR is thankful to UGC MANF(MANF-2018-19-WES-96213) for providing financial support. FR & MK would like to thank the authorities of the Inter-University Centre for Astronomy and Astrophysics, Pune, India for providing research facilities.

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Authors and Affiliations

  1. Department of Physics, Aliah University, IIA/27, New Town, Kolkata, 700160, India

    Nilofar Rahman, Mehedi Kalam & Masum Murshid

  2. Department of Physics, Ashoknagar Vidyasagar Bani Bhaban High School (H.S.), North 24 Parganas, West Bengal, 743222, India

    Amit Das

  3. Department of Mathematics, Sister Nivedita University, Kolkata, 700156, India

    Sayeedul Islam

  4. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    Farook Rahaman

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  1. Nilofar Rahman
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  2. Mehedi Kalam
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  5. Farook Rahaman
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Correspondence to Amit Das.

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Rahman, N., Kalam, M., Das, A. et al. Thin-shell wormhole under non-commutative geometry inspired Einstein–Gauss–Bonnet gravity. Eur. Phys. J. Plus 138, 146 (2023). https://doi.org/10.1140/epjp/s13360-023-03764-1

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