A new parametric class of exact solutions in general relativity representing perfect static fluid balls

Abstract: We present a new parametric class of spherically symmetric analytic solutions of the general relativistic field equations in canonical coordinates, which corresponds to causal models of perfect fluid balls. These solutions describe perfect fluid balls with infinite central pressure and infinite central density though their ratio is positively finite and less then one. From the solutions of this class we have constructed two causal models in which outmarch of pressure, density is positive and monotonically decreasing and pressure-density ratio is less than one throughout with in the balls. Corresponding to these models we have maximized the Neutron star masses 3.24MQ and 3.48MQ with the linear dimensions 32.09Kms and 34.36Kms respectively with equal surface red shift 0.5811.