ar X iv : g r - qc / 0 50 40 98 v 1 2 1 A pr 2 00 5 Compact anisotropic spheres with prescribed energy density
نویسنده
چکیده
New exact interior solutions to the Einstein field equations for anisotropic spheres are found. We utilise a procedure that necessitates a choice for the energy density and the radial pressure. This class contains the constant density model of Maharaj and Maartens (Gen. Rel. Grav., 21, 899-905, 1989) and the variable density model of Gokhroo and Mehra (Gen. Rel. Grav., 26, 75-84, 1994) as special cases. These anisotropic spheres match smoothly to the Schwarzschild exterior and gravitational potentials are well behaved in the interior. A graphical analysis of the matter variables is performed which points to a physically reasonable matter distribution.
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