Gravitational cracking and complexity in the framework of gravitational decoupling

Abstract

In this work we analyse the stability of self gravitating spheres in the context of gravitational cracking. Besides exploring the role played by the anisotropy in the occurrence of cracking, we also study the effect of the complexity factor recently introduced by L. Herrera in Phys. Rev. D 97, 044010 (2018). The models under study correspond to anisotropic solutions obtained in the framework of the Gravitational Decoupling. The effect that the variation of the decoupling parameter and the compactness of the source have on the behaviour of the radial force is studied in detail.

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• Role of gravitational decoupling on isotropization and complexity of self-gravitating system under complete geometric deformation approach
• Influence of three parameters on maximum mass and stability of strange star under linear $f(Q)-$action
• Traversable wormholes with like--Casimir complexity supported with arbitrarily small amount of exotic matter
• Gravitational decoupling of generalized Horndeski hybrid stars
• Possibility of the Traversable Wormholes in the Galactic Halos within $4D$ Einstein-Gauss-Bonnet Gravity
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• The spacetime geodesy of perfect fluid spheres
• Statistical complexity as a probe of mass and phase structure in compact objects