The Minimal Geometric Deformation Approach: a brief introduction

Abstract

We review the basic elements of the Minimal Geometric Deformation approach in details. This method has been successfully used to generate brane-world configurations from general relativistic perfect fluid solutions.

Brief review; minor corrections; references added

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Cited by in corpus (28)

• Gravitational decoupled anisotropies in compact stars
• Anisotropic Tolman VII solution by gravitational decoupling
• Charged anisotropic compact objects by gravitational decoupling
• Decoupling gravitational sources by MGD approach in Rastall gravity
• Stellar models with like--Tolman IV complexity factor
• Ultracompact stars with polynomial complexity by gravitational decoupling
• Extended quantum portrait of MGD black holes and information entropy
• A simple method to generate exact physically acceptable anisotropic solutions in general relativity
• Gravitational cracking and complexity in the framework of gravitational decoupling
• Gregory-Laflamme analysis of MGD black strings
• Holographic entanglement entropy under the minimal geometric deformation and extensions
• MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy
• Class I polytropes for anisotropic matter
• Echoes of the gravitational decoupling: scalar perturbations and quasinormal modes of hairy black holes
• Probing the minimal geometric deformation with trace and Weyl anomalies
• Durgapal IV model in light of the minimal geometric deformation approach
• Geodesic motion around hairy black holes
• Gravitational decoupling, hairy black holes and conformal anomalies
• Braneworld Gravity under gravitational decoupling
• Integration of the Lane-Emden equation for relativistic anisotropic polytropes through Gravitational Decoupling: a novel approach
• $2+1$ Einstein-Klein-Gordon black holes by gravitational decoupling
• Packing extra mass in compact stellar structures: An interplay between Kalb-Ramond field and extra dimensions
• Gravitational decoupling for hairy black holes in asymptotically AdS spacetimes
• Beyond classical anisotropy and a new look to relativistic stars: a gravitational decoupling approach
• Regular Black Hole Cores via Gravitational Evanescence of Collapsing Matter
• Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties
• Braneworld-Klein-Gordon system in the framework of gravitational decoupling
• Analytical approximate solutions of AdS black holes in Einstein-Weyl-scalar gravity