A class of relativistic anisotropic charged stellar models in isotropic coordinates

Abstract

In this present paper, we present a class of static, spherically symmetric charged anisotropic fluid models of super dense stars in isotropic coordinates by considering a particular type of metric potential, a specific choice of electric field intensity E and pressure anisotropy factor Δ which involve parameters K (charge) and α (anisotropy) respectively. The solutions so obtained are utilized to construct the models for super-dense stars like neutron stars and strange quark stars. Our solutions are well behaved within the following ranges of different constant parameters: 4<n≤21.6, 0<K<0.2499, 0≤α≤0.068 and Schwarzschild parameter, 0≤u=GM/c ² R≤0.334. With Δ=0 we rediscover the isotropic model of Pant et al. (Astrophys. Space Sci. 352:135, 2014) and with α=0 and K=0 we rediscover the isotropic neutral model of Murad and Pant (Astrophys. Space Sci. 350:349, 2014). It has been observed that with the increase of α maximum mass decreases. We also present models of super dense star like neutron and quark star based on the particular solution taking n=4.35, α=0.002, K=0.2062 for which u has maximum value u _max=0.306. By assuming surface density ρ _b =4.6888×10¹⁴ g cm⁻³ the resulting well behaved solution has a maximum quark star mass M=2.02 M _⊙ and radius R=9.78 km; and the choice ρ _b =2.7×10¹⁴ g cm⁻³ results charged fluid ball of maximum mass M=2.66 M _⊙ and radius R=12.89 km.