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Analytic radiation model for perfect fluid under homotopy perturbation method

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Abstract

An expression for mass of a spherically symmetric system is obtained by solving the Tolman–Oppenheimer–Volkoff equation, employing the homotopy perturbation method. With the help of this expression and the Einstein field equations, a set of interior solutions is arrived at. Thereafter, different aspects of the solution are explained as regards mass, density, pressure, energy, stability, mass–radius ratio, compactness factor and surface redshift. This analysis shows that all the physical properties, in connection to brown dwarf stars, are valid with the observed features.

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Acknowledgements

FR and SR are thankful to the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India, for providing the Visiting Associateship under which a part of this work was carried out. SR also thanks the Institute of Mathematical Sciences (IMSc), Chennai, India, and the Centre for Theoretical Studies (CTS), IIT Kharagpur, India, for providing short-term visits under which a part of this work has been completed.

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Authors and Affiliations

  1. Department of Physics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal, 711103, India

    Abdul Aziz, Sourav Roy Chowdhury, Debabrata Deb & B. K. Guha

  2. Department of Physics, Government College of Engineering and Ceramic Technology, Kolkata, West Bengal, 700010, India

    Saibal Ray

  3. Department of Natural Sciences, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, 741249, India

    Saibal Ray

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

    Farook Rahaman

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  1. Abdul Aziz
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  2. Sourav Roy Chowdhury
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  3. Debabrata Deb
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  4. Saibal Ray
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  5. Farook Rahaman
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  6. B. K. Guha
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Correspondence to Saibal Ray.

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Aziz, A., Chowdhury, S.R., Deb, D. et al. Analytic radiation model for perfect fluid under homotopy perturbation method. Indian J Phys 95, 1581–1588 (2021). https://doi.org/10.1007/s12648-020-01804-5

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  • DOI: https://doi.org/10.1007/s12648-020-01804-5

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