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Closed form charged fluid with t = constant hypersurfaces as spheroids and hyperboloids
Authors:Naveen Bijalwan  Y K Gupta
Institution:1. FreeLancer, c/o Sh. Rajkumar Bijalwan, Nirmal Baag, Part A, Pashulock, Virbhadra, Rishikesh, Dehradun, 249202, Uttarakhand, India
2. Department of Mathematics, Indian Institute of Technology, Roorkee, 247667, India
Abstract:In the present article models of well behaved charged superdense stars with surface density 2×1014 gm/cm3 are constructed by considering a static spherically symmetric metric with t = const hypersurfaces as spheroids and hyperboloids. Maximum mass of the star is found to be 7.66300M Θ with radius 19.35409 km for spheroids case while 1.51360M Θ with radius 13.72109 km for hyperboloid case satisfying ultra-relativistic conditions. The solutions thus found satisfy all the reality and causality conditions. For brevity we don’t present a detailed analysis of the derived solutions in this paper.
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