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

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arxiv 1805.10565 v2 pith:SFQLC6FH submitted 2018-05-27 gr-qc

classification gr-qc
keywords anisotropicdecouplingdeformationdimensionalgeometricisotropicminimalsolutions
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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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Cited by 2 Pith papers

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  1. Isotropization and change of complexity by gravitational decoupling

    gr-qc 2019-09 conditional novelty 6.0 of 10

    A gravitational decoupling technique that continuously isotropizes anisotropic stellar solutions and generates new solutions with controlled complexity factor, demonstrated on two exact examples.

  2. Hair imprints of the gravitational decoupling and hairy black hole spectroscopy

    gr-qc 2025-06 conditional novelty 5.0 of 10

    The quasinormal mode frequencies of three gravitational-decoupling hairy black holes differ from matched Reissner-Nordström black holes by more than the estimated WKB error for the first metric, giving a theoretical h...

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