Abstract
In the present paper, we have obtained a class of charged super dense star models, starting with a static spherically symmetric metric in isotropic coordinates for perfect fluid by considering Hajj-Boutros (in J. Math. Phys. 27:1363, 1986) type metric potential and a specific choice of electrical intensity which involves a parameter K. The resulting solutions represent charged fluid spheres joining smoothly with the Reissner-Nordstrom metric at the pressure free interface. The solutions so obtained are utilized to construct the models for super-dense star like neutron stars (ρ b =2 and 2.7×1014 g/cm3) and Quark stars (ρ b =4.6888×1014 g/cm3). Our solution is well behaved for all values of n satisfying the inequalities \(4 < n \le4(4 + \sqrt{2} )\) and K satisfying the inequalities 0≤K≤0.24988, depending upon the value of n. Corresponding to n=4.001 and K=0.24988, we observe that the maximum mass of quark star M=2.335M ⊙ and radius R=10.04 km. Further, this maximum mass limit of quark star is in the order of maximum mass of stable Strange Quark Star established by Dong et al. (in arXiv:1207.0429v3, 2013). The robustness of our results is that the models are alike with the recent discoveries.
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Authors express their sincere gratitude to the esteemed reviewer(s) for rigorous review, constructive comments and useful suggestions. First two authors are grateful to Air Marshal K.S. Gill AVSM YSM VM, the Commandant NDA Khadakwasla Pune for his motivation and encouragement.
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Pant, N., Pradhan, N. & Murad, M.H. A family of exact solutions of Einstein-Maxwell field equations in isotropic coordinates: an application to optimization of quark star mass. Astrophys Space Sci 352, 135–141 (2014). https://doi.org/10.1007/s10509-014-1904-0
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DOI: https://doi.org/10.1007/s10509-014-1904-0