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

Ernesto Contreras; Pedro Bargue\~no

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

Ernesto Contreras , Pedro Bargueño This is my paper · ORCID

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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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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.

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