Three new exact solutions for charged fluid spheres in general relativity

Abstract

In the present article three new exact solutions of Einstein’s field equations for charged fluid spheres are derived as per Ivanov’s classification (ν,q). Where ‘ν’ stands for ‘logg ₄₄’ and q represents total charge inside the sphere of radius r. The solutions are obtained by considering ν=nlogB ^1/n(1+br ²) with b<0, B>0 and assuming suitable charged function ‘q’. The solutions so obtained are utilized to construct the super dense star models with surface density ρ _a =2×10¹⁴ g cm⁻³ and possessing the maximum mass M and the corresponding radius a as: (i) n=−1, M=3.9678M _Θ , a=22.9698 km, (ii) n=−2, M=4.9489M _Θ , a=18.332 km, (iii) n=−3, M=0.9643M _Θ , a=3.1698 km. The red shift, adiabatic index, variation of velocity of light throughout the stars have been studied carefully and kept the every entity within the physical range.