A gravitational decoupling technique that continuously isotropizes anisotropic stellar solutions and generates new solutions with controlled complexity factor, demonstrated on two exact examples.
Minimal geometric deformation decoupling in $2+1$ dimensional space-times
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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.
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Isotropization and change of complexity by gravitational decoupling
A gravitational decoupling technique that continuously isotropizes anisotropic stellar solutions and generates new solutions with controlled complexity factor, demonstrated on two exact examples.