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A Class of Super Dense Stars Models Using Charged Analogues of Hajj-Boutros Type Relativistic Fluid Solutions

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Abstract

We present a spherically symmetric solution of the general relativistic field equations in isotropic coordinates for perfect charged fluid, compatible with a super dense star modeling. The solution is well behaved for all the values of Schwarzschild parameter u lying in the range 0 < u < 0.1727 for the maximum value of charge parameter K = 0.08163. The maximum mass of the fluid distribution is calculated by using stellar surface density as ρ b = 4.6888×1014g cm−3. Corresponding to K = 0.08 and u max = 0.1732, the resulting well behaved solution has a maximum mass M = 0.9324M ⊙ and radius R = 8.00 and by assuming ρ b = 2×1014g cm−3 the solution results a stellar configuration with maximum mass M = 1.43M ⊙ and radius R b = 12.25 km. The maximum mass is found increasing with increasing K up to 0.08. The well behaved class of relativistic stellar models obtained in this work might has astrophysical significance in the study of internal structure of compact star such as neutron star or self-bound strange quark star like Her X-1.

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Acknowledgments

The first two authors are grateful to Major Gen. Ashok Ambre, SM, the Deputy Commandant, NDA, India, for his motivation. And the third author is greatly indebted to his wife Saba Fatema, Department of Natural Sciences, Daffodil International University, Dhaka, Bangladesh, for her inspiration, continuous support and help in the preparation of LATEX source files of the manuscript.

Authors also express their sincere gratitude to the esteemed reviewer(s) for rigorous review, constructive comments and useful suggestions.

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Authors and Affiliations

  1. Department of Mathematics, National Defence Academy, Khadakwasla, Pune, 411023, India

    Neeraj Pant

  2. Department of Physics, National Defence Academy, Khadakwasla, Pune, 411023, India

    N. Pradhan

  3. Department of Mathematics and Natural Sciences, BRAC University, Dhaka, 1215, Bangladesh

    Mohammad Hassan Murad

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  1. Neeraj Pant
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  2. N. Pradhan
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  3. Mohammad Hassan Murad
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Correspondence to Neeraj Pant.

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Pant, N., Pradhan, N. & Murad, M.H. A Class of Super Dense Stars Models Using Charged Analogues of Hajj-Boutros Type Relativistic Fluid Solutions. Int J Theor Phys 53, 3958–3969 (2014). https://doi.org/10.1007/s10773-014-2147-0

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