Abstract
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.
Highlights
Through the developments of general relativity, black holes (BH) have been a subject of study, discussions and analysis
Recent observations of gravitational waves [1,2,3] and black hole shadows [4,5] lead to the conclusion that BH do exist
Some examples of BH mimickers found in literature encompasses regular BH [7,8,9], a e-mail: econtreras@usfq.edu.ec traversable wormholes [10,11,12,13] and ultracompact stars [14], among others, and in this work we shall focus our attention in the latter. As it is well known, Buchdahl limit relies on the hypothesis of isotropy and entails that the maximum compactness of a self-gravitating, isotropic, spherically-symmetric object of mass M and radius R has an upper bound given by M/R = 4/9
Summary
Through the developments of general relativity, black holes (BH) have been a subject of study, discussions and analysis. Recent observations of gravitational waves [1,2,3] and black hole shadows [4,5] lead to the conclusion that BH do exist As it is well known, Buchdahl limit relies on the hypothesis of isotropy and entails that the maximum compactness of a self-gravitating, isotropic, spherically-symmetric object of mass M and radius R has an upper bound given by M/R = 4/9 (for modifications of the Buchdahl’s limits induced by the presence of the cosmological constant see [15,16,17,18], for example ). Some comments and conclusions are in the last section
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