Abstract
The paper presents a class of interior solutions of Einstein–Maxwell field equations in general relativity for a static spherically symmetric distribution of a charged fluid. This class of solutions describes well behaved charged fluid balls. This solution gives us wide range of parameter K (0.53≤K≤0.95), for which the solution is well behaved hence, suitable for modeling of super dense star. For this solution the mass of a star is maximized with all degree of suitability and by assuming the surface density ρb=2×1014 g/cm3. Corresponding to K=0.95 with X=−0.15, the maximum mass of the star comes out to be M=1.56 MΘ with radius rb≈9.22 km and the surface red shift Zb≈0.124207. It has been observed that under well behaved conditions this class of solutions gives us the mass of super dense object within the range of neutron star. However, its neutral counter part is not well behaved.
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