Publication date: Jun 2019
Using the gravitational decoupling by the minimal geometric deformation
approach, we build an anisotropic version of the well-known Tolman VII
solution, determining an exact and physically acceptable interior two-
fluid solution that can represent behavior of compact objects.
Comparison of the effective density and density of the perfect fluid is
demonstrated explicitly. We show that the radial and tangential pressure
are different in magnitude giving thus the anisotropy of the modified
Tolman VII solution. The dependence of the anisotropy on the coupling
constant is also shown.
Hensh, Sudipta; Stuchlík, Zdeněk;