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

Mahmood K. Jasim

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 2nd 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.


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How to Cite this Article:

Mahmood K. Jasim, Applications of lie group analysis to a core group model for isentropic super-dense stars, Journal of Mathematical and Computational Science, Vol 3, No 1 (2013), 22-31

Copyright © 2013 Mahmood K. Jasim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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