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Gravitational cracking and complexity in the framework of gravitational decoupling

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arxiv 2107.01140 v1 pith:PPI2HWZF submitted 2021-07-02 gr-qc

Gravitational cracking and complexity in the framework of gravitational decoupling

classification gr-qc
keywords gravitationalcrackingdecouplingcomplexityeffectframeworkanalyseanisotropic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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