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A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach

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arxiv 1902.02033 v2 pith:NCJOVRS4 submitted 2019-02-06 gr-qc

E. Contreras , Á. Rincón , P. Bargueño This is my paper · ORCID
classification gr-qc
keywords generaldensitysolutionconstantdecouplingdeformationenergygeometric
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abstract

In this work we implement the Minimal Geometric Deformation decoupling method to obtain general static interior solutions for a BTZ vacuum from the most general isotropic solution in $2+1$ dimensions including the cosmological constant $\Lambda$. We obtain that the general solution can be generated only by the energy density of the original isotropic sector, so that this quantity plays the role of a generating function. Although as a particular example we study the static star with constant density, the method here developed can be easily applied to more complex situations described by other energy density profiles.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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. Regular black holes with Minkowskian cores: causal structure and observational degeneracy

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Regular black holes with Minkowskian cores constructed by gravitational decoupling produce shadows and accretion-disk images nearly indistinguishable from Kerr/Schwarzschild despite radically different interiors.

  3. Light Deflection due to Spinoptic Effects in Parametrized and Spherically Symmetric Hairy Black Holes

    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    Spinoptics calculations show parameter-dependent out-of-plane deflection angles for light in RZ and hairy black hole spacetimes, with assessment of mimicry between the models.

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