A Family of Well Behaved Uncharged Model of Vaidya– Tikekar Type Super-Dense Star

Abstract

In the present article a model of well-behaved uncharged superdense
star with surface density 2×1014 gm/cm3 is developed by considering
a static spherically symmetric metric with t= const hyper surfaces as
hyperboloid. So far well-behaved model described by such metric could not
be obtained for uncharged fluid. Maximum mass of the star is found to be
 0.343121M and the corresponding radius is 9.576299 Km. The red shift
at the centre and on the surface are given as 0.076792 and 0.031726
respectively.