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.
Cite
@article{arxiv.1805.10565,
title = {Minimal geometric deformation decoupling in $2+1$ dimensional space-times},
author = {Ernesto Contreras and Pedro Bargueño},
journal= {arXiv preprint arXiv:1805.10565},
year = {2019}
}