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arxiv: 1805.10565 · v2 · pith:SFQLC6FHnew · submitted 2018-05-27 · 🌀 gr-qc

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

classification 🌀 gr-qc
keywords anisotropicdecouplingdeformationdimensionalgeometricisotropicminimalsolutions
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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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