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New class of anisotropic charged strange quark star in Durgapal \(IV\) metric and its maximum mass

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Abstract

In this paper, we have explored the relativistic stellar model considering pressure anisotropy. An anisotropic solution of the Einstein Field Equations (henceforth EFE) has been presented for charged strange quark stars considering the interior space-time geometry described by the Durgapal \(IV^{th}\) metric. In the case of a strange quark star, if the equation of state \(p_{r}=\frac{1}{3}(\rho -4B_{g})\) as prescribed in the MIT bag model is applicable, then at the surface, one may consider that the surface energy density \(\rho _{s}=4B_{g}\). Imposing the constraint value of \(B_{g}\) within the range of 57.55 - \(95.11~MeV/fm^{3}\) required for stable quark matter with respect to a neutron when the external pressure is zero, we have determined the maximum mass and radius of the strange quark star and other relevant properties. It is noted that the maximum mass and radius for \(B_{g}=57.55~MeV/fm^{3}\) are \(M_{max}=2.92M_{\odot }\) and \(b_{max}=13.749~km\), respectively, whereas those for \(B_{g}=95.11~MeV/fm^{3}\), are \(M_{max}=2.27M_{\odot }\) and \(b_{max}=10.695~km\) for an isotropic uncharged star. In the presence of pressure anisotropy and charge, the value of maximum mass increases. We have predicted the radii of a few recently observed pulsars from our model and found that the radii agree with the predictions from observations. Furthermore, stability and energy conditions are also satisfied in the present model.

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Acknowledgements

SS is thankful to the Department of Physics, Cooch Behar Panchanan Barma University for providing the opportunity to carry out the research work. DBisthankful to DST for providing the fellowship vide no: DST/INSPIRE/03/2022/000001. KBG is thankful to CSIR for providing the fellowship vide no 09/1219(0004)/2019-EMR-I. We are also thankful to anonymous referees for important suggestions on our article.

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  1. IUCAA Centre for Astronomy Research and Development (ICARD), Department of Physics, Cooch Behar Panchanan Barma University, Vivekananda Street, Cooch Behar, 736101, West Bengal, India

    S. Sarkar, D. Bhattacharjee, K. B. Goswami & P. K. Chattopadhyay

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  1. S. Sarkar
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  2. D. Bhattacharjee
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  3. K. B. Goswami
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  4. P. K. Chattopadhyay
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All authors have contributed to the writing of the paper and review of the final manuscript.

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Correspondence to P. K. Chattopadhyay.

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Sarkar, S., Bhattacharjee, D., Goswami, K.B. et al. New class of anisotropic charged strange quark star in Durgapal \(IV\) metric and its maximum mass. Astrophys Space Sci 369, 19 (2024). https://doi.org/10.1007/s10509-024-04283-w

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  • DOI: https://doi.org/10.1007/s10509-024-04283-w

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