MG14 - Talk detail |
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Participant |
Abebe, Gezahegn | |||||||
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Institution |
University of KwaZulu-Natal - Westville Campus - Durban - School of Maths, Stat and Comp Sc. - South Africa | |||||||
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Session |
ES1 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Exact models for generalized Euclidean stars | |||||
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Abstract |
We consider the general case of an accelerating, expanding and shearing model for a radiating relativistic star using Lie symmetries. We obtain the Lie symmetry generators that leave the nonlinear, equation for the junction condition invariant, and find the Lie algebra corresponding to the optimal system of the symmetries. The symmetries in the optimal system allow us to transform the boundary condition to ordinary differential equations. The various cases for which the resulting systems of equations can be solved are identified. A particular group invariant solution produces a class of models which contains Euclidean stars as a special case. Our generalized model satisfies a linear equation of state in general. We thus establish a group theoretic basis for our generalized Euclidean with an equation of state. |
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