A Class of Well Behaved Charged Analogues of Schwarzchild's Interior Solution

Abstract

A class of well behaved charged analogues of Schwarzchild's interior solution has been obtained using a particular electric intensity. The solutions of this class are utilized to depict a superdense star model with surface density 2×10 14 g cm -3. The solution obtained is new and the pressure (p), density (c 2Ï ), velocity of sound and (p/(c 2Ï )) are monotonically decreasing towards the pressure free interface. Moreover the adiabatic constant is found to be more than (4/3) which is necessary for stability under radial perturbation. Also the electric intensity increases monotonically towards the surface. The well behaved model has the maximum mass M=1.740793M Θ, Radius 12.130308 km. The redshift at the center and on the surface is given by z 0=0.384261 and z a=0.292489. Out of the models of superdense star obtained couple of models represent Vela Pulsar for (i) α 2=1.03, b=0. 33, Radius=10. 8566 km, M=1. 18331M Θ, I=0. 642601×10 45, (ii) α 2=1. 1, b=0. 3, Radius=11. 197533 km, M=1. 311438M Θ, I=0. 774508×10 45. All the solutions mentioned above are reducible to Schwarzchild interior solution in the absence of charge. © 2012 Springer Science+Business Media, LLC.