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| Content Provider | Springer Nature Link |
|---|---|
| Author | Abebe, G. Z. Maharaj, S. D. Govinder, K. S. |
| Copyright Year | 2014 |
| Abstract | We consider the general case of an accelerating, expanding and shearing model of a radiating relativistic star using Lie symmetries. We obtain the Lie symmetry generators that leave the 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. For each of these cases the boundary condition is integrated and the gravitational potentials are found explicitly. 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 model with an equation of state. By considering a particular example we show that the weak, dominant and strong energy conditions are satisfied. |
| Starting Page | 1 |
| Ending Page | 17 |
| Page Count | 17 |
| File Format | |
| ISSN | 00017701 |
| Journal | General Relativity and Gravitation |
| Volume Number | 46 |
| Issue Number | 5 |
| e-ISSN | 15729532 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2014-04-24 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Radiating stars Junction conditions Equation of state Theoretical, Mathematical and Computational Physics Classical and Quantum Gravitation, Relativity Theory Differential Geometry Quantum Physics Astronomy, Astrophysics and Cosmology Cosmology |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy |
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