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Einstein field equations; anisotropic matter; polytropic equation of state; relativistic star.

We study static spherically symmetric spacetime to describe compact objects with anisotropic matter distribution. We express the system of Einstein field equations as a new system of differential equations using a coordinate transformation, and then write the system in another form with polytropic equation of state and obtain two classes of exact models. The models satisfy all major physical features expected in a realistic star. For polytropic index $n = 2$, we obtain expressions for mass and density which are comparable with the reported experimental observations.

S Thirukkanesh¹ F C Ragel²

1. Department of Mathematics, Eastern University, Chenkalady, Sri Lanka
2. Department of Physics, Eastern University, Chenkalady, Sri Lanka

Published

May 2012

Manuscript received

9 November 2011

Accepted

8 December 2011