Applications of lie group analysis to a core group model for isentropic super-dense stars

Abstract

In this paper, Lie group analysis have been applied to a core group model for isentropic super-dense stars assuming that, the interior of the star is filled up with a perfect fluid, the corresponding Einstein’s equations constitute an ordinary differential equation of 2^nd order involving a parameter K. Different values of K are responsible for different models of the fluid sphere.  Optimal solutions have been obtained in terms of special functions, namely the confluent hypergeometric functions.