An exact super dense star model on spheroidal space-time

Abstract

We consider the 3-dimensional space with $t_{1} = \mbox{constant}$ in a super dense star which is spheroidal. We report a class of static spherically symmetric physically viable models based on a particular actual solution of Einsteins field equations. The models of the class admit densities of the order of $2 \times 10^{14}~\mbox{gm}\,\mbox{cm}^{-3}$, radii of the order of a few kilometers and maximum masses up to about three times the solar mass.