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Well Behaved Charged Generalization of Buchdahl’s Fluid Spheres

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Abstract

In the present article, we have obtained a class of well behaved charged analogues of Buchdahl (Phys. Rev. 116:1027–1034, 1959) neutral perfect fluid solution, which reduces to its neutral counter part in the absence of charge. The solutions so obtained are utilized to depict the super-dense stars models such as models for neutron stars and strange star. It is observed that the models are well behaved for restricted range of the parameter K (1<K≤1.64). Over all the maximum mass and corresponding radius is 2.4495M Θ and 16.7289 respectively and moment of inertia \(I = 4.6091 \times 10^{45}~\mathrm{g\,cm}^{2}\). Also the pulsars character of the super-dense stars so obtained and has been analyzed with the help of moment of inertia. The analysis of the models reveals both vela and crab pulsars.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, Uttarakhand, India

    S. K. Maurya & Y. K. Gupta

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  1. S. K. Maurya
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  2. Y. K. Gupta
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Correspondence to S. K. Maurya.

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Maurya, S.K., Gupta, Y.K. Well Behaved Charged Generalization of Buchdahl’s Fluid Spheres. Int J Theor Phys 51, 3478–3489 (2012). https://doi.org/10.1007/s10773-012-1233-4

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  • DOI: https://doi.org/10.1007/s10773-012-1233-4

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