Anisotropic spheres with uniform energy density in general relativity
S. D. Maharaj
Department of Mathematics and Applied MathematicsUniversity of Natal
Centre for Nonlinear Studies and Department of Computational and Applied MathematicsUniversity of the Witwatersrand
Cite this article as:
Maharaj, S.D. & Maartens, R. Gen Relat Gravit (1989) 21: 899. doi:10.1007/BF00769863
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.