Anisotropic charged analogue of Heintzmann’s solution

Abstract

We present an anisotropic charged analogue of Heintzmann’s (Z. Phys. 228:489, 1969) solution of the general relativistic field equations in curvature coordinates by using simple form of electric intensity E and pressure anisotropy factor Δ that involve charge parameter K and anisotropy parameter α respectively. Our solution is well behaved in all respects for all values of X lying in the range 0<X≤1.1, α lying in the range 0≤α≤6.2, K lying in the range 0<K≤9.7 and Schwarzschild compactness parameter “u” lying in the range 0<u≤0.391. Since our solution is well behaved for a wide ranges of the parameters, we can model many different types of ultra-cold compact stars like quark stars and neutron stars. We present some models of super dense quark star and neutron stars corresponding to X=0.1, α=1 and K=3. By assuming surface density of quark star, ρ b =4.6888×1014 g cm−3 the mass and radius are 1.271M ⊙, 10.09 km respectively. For ρ b =2.7×1014 g cm−3 the mass and radius of neutron star are 1.675M ⊙, 13.297 km respectively. The well behaved class of relativistic stellar models obtained in this work might have astrophysical significance in the study of more realistic internal structure of compact stars.