Speaker
Description
Ultracompact stars or “gravastars” were modeled firstly by Mazur and Mottola (MM) by the use of the Schwarzschild interior solution in a special case. Recently, the MM model has been extended to anisotropic domains by the Gravitational Decoupling (GD) through the Minimal Geometric Deformation (MGD) approach. In contrast to the original solution, the resulting configuration can be matched smoothly with a modified vacuum so the thin shell approach can be avoided
In this work we construct an ultracompact star configuration in the framework of Gravitational Decoupling by the Minimal Geometric Deformation approach. We use the complexity factor as a complementary condition to close the system of differential equations. It is shown that for a polynomial complexity the resulting solution can be matched with two different modified - vacuum geometries. The solution fulfill the requirements of a stable configuration, namely, i) the solution is regular at the origin, ii) the mass and the radius are well defined, iii) the density is positive everywhere and decreases monotonically to the surface and iv) the radial pressure is non--uniform and monotonic as expected.
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