A new class of charged analogues of Vaidya-Tikekar type super-dense star

Abstract

First ever closed form solution for charged fluid sphere expressed by a space time with its hypersurfaces t = constant as spheroid is obtained for the case 0&lt;K&lt;1. The same is utilized to construct a superdense star with surface density 2×1014 gm/cm3. The star is seen to satisfy the reality and causality conditions for 0&lt;K≤0.045 and possesses maximum mass and radius to be 0.065216M<sub/> and 1.137496 km respectively. Moreover the interior of the star satisfy strong energy condition. However in the absence of the causality condition, the reality conditions are valid for a wider range 0&lt;K≤0.13. The maximum mass and radius for the later case are 1.296798M<sub/> and 2.6107 km respectively for the strong energy condition, while the said parameters for the weak energy condition read as 1.546269M<sub/> and 2.590062 km respectively. © 2010 Springer Science+Business Media B.V.