Minimal geometric deformation decoupling in $2+1$ dimensional space-times

Abstract

We study the minimal geometric deformation decoupling in $2+1$ dimensional space--times and implement it as a tool for obtaining anisotropic solutions from isotropic geometries. Interestingly, both the isotropic and the anisotropic sector fulfill Einstein field equations in contrast to the cases studied in $3+1$ dimensions. In particular, new anisotropic solutions are obtained from the well known static BTZ solution.

Figure and some comments added. Accepted in EPJC

References in corpus (6)

• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Brane-world stars with solid crust and vacuum exterior
• Stability of the graviton Bose-Einstein condensate in the brane-world
• Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation
• Non-uniform Braneworld Stars: an Exact Solution
• The Schwarzschild's Braneworld Solution

Cited by in corpus (44)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Decoupling gravitational sources in general relativity: the extended case
• Black holes by gravitational decoupling
• Hairy black holes by gravitational decoupling
• Isotropization and change of complexity by gravitational decoupling
• Gravitational decoupling for axially symmetric systems and rotating black holes
• Anisotropic Tolman VII solution by gravitational decoupling
• A causal Schwarzschild-de Sitter interior solution by gravitational decoupling
• Compact Anisotropic Models in General Relativity by Gravitational Decoupling
• Anisotropic ultracompact Schwarzschild star by gravitational decoupling
• A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
• Gravitationally decoupled strange star model beyond standard maximum mass limit in Einstein-Gauss-Bonnet gravity
• The Gravitational decoupling method: the higher dimensional case to find new analytic solutions
• Einstein-Klein-Gordon by gravitational decoupling
• Minimal Geometric Deformation: the inverse problem
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• A way of decoupling gravitational sources in pure Lovelock gravity
• Anisotropic Tolman V Solution by Minimal Gravitational Decoupling Approach
• Decoupling gravitational sources by MGD approach in Rastall gravity
• Extended gravitational decoupling in $2+1$ dimensional space--times
• Minimal Geometric Deformation in asymptotically (A-)dS space-times and the isotropic sector for a polytropic black hole
• A simple method to generate exact physically acceptable anisotropic solutions in general relativity
• New algorithms to obtain analytical solutions of Einstein's equations in isotropic coordinates
• The minimal of geometric deformation of Yang-Mills-Dirac stellar configurations
• Anisotropic 2+1 dimensional black holes by gravitational decoupling
• Gravitational decoupling in $2+1$ dimensional space--times with cosmological term
• Energy exchange between relativistic fluids: the polytropic case
• Role of gravitational decoupling on isotropization and complexity of self-gravitating system under complete geometric deformation approach
• Rotating hairy black holes and thermodynamics from gravitational decoupling
• Regularity condition on the anisotropy induced by gravitational decoupling in the framework of MGD
• Anisotropic Spherical Solutions through Extended Gravitational Decoupling Approach
• Holographic entanglement entropy under the minimal geometric deformation and extensions
• MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy
• Durgapal IV model in light of the minimal geometric deformation approach
• Geodesic motion around hairy black holes
• Extra packing of mass of anisotropic interiors induced by MGD
• Geometrically deformed charged anisotropic models in $f(Q,T)$ gravity
• Gravitational decoupling, hairy black holes and conformal anomalies
• Braneworld Gravity under gravitational decoupling
• Compact Objects by Gravitational Decoupling in f(R) Gravity
• Imprints of dark matter on the structural properties of minimally deformed compact stars
• Minimally deformed wormholes inspired by noncommutative geometry
• Energy transfer between the sources in gravitational decoupling
• Hair imprints of the gravitational decoupling and hairy black hole spectroscopy