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Charged quark stars represented by the MIT bag approach in \(5\mathcal {D}\) Einstein–Maxwell–Gauss–Bonnet formalism

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Abstract

Quark stars take significant roles while studying the behavior of strong gravitational fields and supra-nuclear territories. On the other hand, current research on the identification of both radii and masses of compact stars provides significant constraints for the equation of state (EoS) describing the stellar object of interest. Here we mainly focus our awareness on investigating the celestial features of a charged quark star in the five-dimensional (5\(\mathcal {D}\)) form of the Einstein–Maxwell–Gauss–Bonnet (EMGB) formalism of gravity. In this context, we first obtain the governing expressions for a charged quark star represented by the MIT bag model. Subsequently, we discuss the impact of the Gauss–Bonnet (GB) Lagrangian term, which is coupled with the Einstein–Hilbert action through a coupling constant, on the fundamental physical characteristics of the celestial structure. Numerical analyses in which we discuss the dependence of energy density, pressure, and mass on radius support the existence of such a compact star. Furthermore, we show that this new type of quark star meets all the stability and feasibility conditions as well as the necessary astronomical requirements.

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Data Availability Statement

The results are obtained through purely theoretical calculations and can be verified analytically; thus this manuscript has no associated data, or the data will not be deposited.

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Acknowledgements

PR is thankful to the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, Government of India, for providing Visiting Associateship. MS and OA would like to thank TUBITAK (the Scientific and Technical Research Council of Turkey) for their valuable financial supports given in the year 2023.

Funding

The authors did not receive any funding in the form of financial aid or grant from any institution or organization for the present research work.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, 711 103, India

    Akashdip Karmakar

  2. Department of Mathematics, Sarat Centenary College, Dhaniakhali, Hooghly, West Bengal, 712 302, India

    Pramit Rej

  3. Department of Physics, Faculty of Science, Mersin University, Mersin, 33343, Turkey

    Mustafa Salti & Oktay Aydogdu

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  1. Akashdip Karmakar
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Contributions

AK performed mathematical analysis, ran computer codes, and typed the draft. PR contributed to conceptualization, computer code design for data analysis, original draft preparation and overall supervision. MS contributed to the writing of the manuscript and the physical interpretation of this study. OA contributed to the validation and discussing the results from the physical perspective. All authors provided critical feedback and helped shape the research, analysis, and manuscript.

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Correspondence to Pramit Rej.

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Karmakar, A., Rej, P., Salti, M. et al. Charged quark stars represented by the MIT bag approach in \(5\mathcal {D}\) Einstein–Maxwell–Gauss–Bonnet formalism. Eur. Phys. J. Plus 138, 914 (2023). https://doi.org/10.1140/epjp/s13360-023-04548-3

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