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A new model for strange stars

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Abstract

In the present work, we attempt to find a new class of solutions for the spherically symmetric perfect fluid sphere by employing the homotopy perturbation method (HPM), a new tool via which the mass polynomial function facilitates to tackle the Einstein field equations. A set of interior solutions found on the basis of the simplest MIT bag model equation of state in the form \(p=\frac{1}{3}(\rho -4B)\) where B is the bag constant. The proposed interior metric for the stellar system is consistent with the exterior Schwarzschild spacetime on the boundary. In addition, we also conduct a detailed study on different tests, viz. the energy conditions, TOV equation, adiabatic index, Buchdahl limit, etc., to verify the physical validity of the proposed model. The numerical value of the used parameters are predicted for different strange star candidates, for different chosen values of the bag constant. In a nutshell, by exploiting HPM technique first time ever in the field of relativistic astrophysics, we have predicted in the present literature a singularity-free and stable stellar model which is suitable to describe ultra-dense objects, like strange (quark) stars.

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Acknowledgements

SR and FR are thankful to the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India for providing Visiting Associateship under which a part of this work was carried out. SR is also thankful to the authority of The Institute of Mathematical Sciences (IMSc), Chennai, India for providing all types of working facility and hospitality under the Associateship scheme. FR is also grateful to DST-SERB (EMR/2016/000193), Govt. of India for providing financial support. A part of this work was completed while DD was visiting IUCAA and the author gratefully acknowledges the warm hospitality and facilities at the library there. We all are thankful to the anonymous referee for several pertinent comments which have helped us to upgrade the manuscript substantially.

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Authors and Affiliations

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

    Debabrata Deb & Sourav Roy Chowdhury

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

    Saibal Ray

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

    Farook Rahaman

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  1. Debabrata Deb
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  2. Sourav Roy Chowdhury
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  3. Saibal Ray
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  4. Farook Rahaman
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Correspondence to Saibal Ray.

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Deb, D., Roy Chowdhury, S., Ray, S. et al. A new model for strange stars. Gen Relativ Gravit 50, 112 (2018). https://doi.org/10.1007/s10714-018-2434-9

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