A class of charged analogues of Durgapal and Fuloria superdense star

Abstract

A class of charged analogues of superdense star model due to M.C. Durgapal and R.S. Fuloria, is obtained by using a particular electric field, which involves a parameter K. The members of this class are seen to satisfy the various physical conditions e.g. c ² ρ≥3p≥0, dp/dr<0, d ρ/dr<0, along with the velocity of sound condition dp/c ² d ρ<1 and the adiabatic index ((p+c ² ρ)/p)(dp/(c ² d ρ))>1 for the interval 1<K≤1.73 with the maximum mass 3.2860 M _Θ and the radius 18.3990 km.

It is interesting to note that the velocity of sound and the ratio p/c ² ρ are monotonically decreasing towards the pressure free interface for 1<K≤1.10216 which presents a relevant modelling for massive star like Neutron star or pulsar. In the interval 1<K≤1.10216, the maximum mass and the corresponding radius are given as 1.9672 M _Θ and 15.9755 km respectively.