A simple method to generate exact physically acceptable anisotropic solutions in general relativity

Abstract

By using the gravitational decoupling through the minimal geometric deformation approach (MGD-decoupling), we show a simple and powerful method to generate physically acceptable exact analytical solutions for anisotropic stellar distributions in general relativity. We find that some perfect fluid configurations could be incompatible with anisotropic effects produced by scalar fields.

11 pages

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Cited by in corpus (22)

• The Gravitational decoupling method: the higher dimensional case to find new analytic solutions
• Exploring physical properties of minimally deformed strange star model and constraints on maximum mass limit in $f(\mathcal{Q})$ gravity
• Decoupling gravitational sources by MGD approach in Rastall gravity
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• Gravitational decoupling, hairy black holes and conformal anomalies
• Gravitational decoupling of generalized Horndeski hybrid stars
• Braneworld Gravity under gravitational decoupling
• Integration of the Lane-Emden equation for relativistic anisotropic polytropes through Gravitational Decoupling: a novel approach
• Gravitational decoupling and superfluid stars
• Gravitational Cracking of General Relativistic Polytropes: a generalized scheme
• Axion stars in MGD background
• Non-singular T-K axion stars with/without the dynamical bosonic field in the presence of negative $\Lambda$ term
• Analytical solution of traversable wormholes in the presence of positive cosmological constant