Anisotropic spheres with uniform energy density in general relativity
- Cite this article as:
- Maharaj, S.D. & Maartens, R. Gen Relat Gravit (1989) 21: 899. doi:10.1007/BF00769863
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An ansatz is developed to obtain interior solutions of the Einstein field equations for anisotropic spheres. This procedure necessitates a choice for the energy-density and the radial pressure. A class of solutions for a uniform energy-density source is presented. These anisotropic spheres match smoothly to the Schwarzschild exterior and are well-behaved in the interior of the sphere.