Equation of state for anisotropic spheres
Abstract
We present a new class of exact interior solutions for anisotropic spheres to the Einstein field equations with a prescribed energy density. This category of solutions has similar energy density profiles to the models of Chaisi and Maharaj (Gen. Rel. Grav. 37, 1177-1189, 2005) whose approach we follow in the integration process. A distinguishing feature of the solutions presented is that they satisfy a barotropic equation of state linearly relating the radial pressure to the energy density.
- Publication:
-
General Relativity and Gravitation
- Pub Date:
- November 2006
- DOI:
- 10.1007/s10714-006-0353-7
- Bibcode:
- 2006GReGr..38.1723M
- Keywords:
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- Anisotropic relativistic stars;
- Exact solutions;
- Compact spheres