A class of relativistic anisotropic charged stellar models in isotropic coordinates
Publisher© 2014, Springer Science+Business Media Dordrecht.
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CitationPant, N., Pradhan, N., & Murad, M. H. (2014). A class of relativistic anisotropic charged stellar models in isotropic coordinates. Astrophysics and Space Science, 355(1), 137-145. doi:10.1007/s10509-014-2156-8
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/c2R≤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 umax=0.306. By assuming surface density ρb=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 ρb=2.7×1014 g cm−3 results charged fluid ball of maximum mass M=2.66 M⊙ and radius R=12.89 km.