A new well behaved class of charge analogue of Adler's relativistic exact solution

The paper presents a new class of parametric interior solutions of Einstein-Maxwell field equations in general relativity for a static spherically symmetric distribution of a charged perfect fluid with a particular form of electric field intensity. This solution gives us wide range of parameter, K (0.69a parts per thousand currency signKa parts per thousand currency sign7.1), for which the solution is well behaved hence, suitable for modeling of superdense star. For this solution the gravitational mass of a superdense object is maximized with all degree of suitability by assuming the surface density of the star equal to the normal nuclear density rho (nm)=2.5x10(17)kg m(-3). By this model we obtain the mass of the Crab pulsar M (Crab)=1.401M (aS (TM)) and the radius, R (Crab)=12.98 km constraining the moment of inertia I (NS,38)> 1.61 for the conservative estimate of Crab nebula mass 2M (aS (TM)) and M (Crab)=2.0156M (aS (TM)) with radius, R (Crab)=14.07 km constraining the moment of inertia I (NS,38)> 3.04 for the newest estimate of Crab nebula mass 4.6M (aS (TM)) which are quite well in agreement with the possible values of mass and radius of Crab pulsar. Besides this, our model yields the moments of inertia for PSR J0737-3039A and PSR J0737-3039B are I (A,38)=1.4624 and I (B,38)=1.2689 respectively. It has been observed that under well behaved conditions this class of parametric solution gives us the maximum gravitational mass of causal superdense object 2.8020M (aS (TM)) with radius 14.49 km, surface redshift z (R) =0.4319, charge Q=4.67x10(20) C, and central density rho (c) =2.68 rho (nm).