Anisotropic Charged Fluid Sphere in Isotropic Coordinates

Abstract

We have presented a class of charged superdense star models, starting with a static spherically symmetric metric in isotropic coordinates for anisotropic fluid by considering Hajj-Boutros-(1986) type metric potential and a specific choice of electrical intensity E and anisotropy factor Δ which involve charge parameter K and anisotropy parameter α. The solution is well behaved for all the values of Schwarzschild compactness parameter u lying in the range 0<u≤0.2086, for all values of charge parameter K lying in the range 0.04≤K≤0.111 , and for all values of anisotropy parameter α lying in the range 0.016≥α≥0. With the increase in α, the values of K and u decrease. Further, we have constructed a superdense star model with all degree of suitability. The solution so obtained is utilized to construct the models for superdense star like neutron stars ρb=2.7×1014 g/cm3 and strange quark stars  ρb=4.6888×1014 g/cm3 . For K=0.06 and α=0.01, the maximum mass of neutron star is observed as M=1.53 M⊙ and radius R=11.48 km. Further for strange quark stars M=1.16 M⊙ and R=8.71 km are obtained.