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$2+1$ Einstein-Klein-Gordon black holes by gravitational decoupling

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arxiv 2203.00661 v2 pith:3GNQLMGU submitted 2022-03-01 gr-qc

classification gr-qc
keywords decouplingfieldscalarcasesconstraintdifferentialeinstein-klein-gordonequation
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In this work we study the 2+1 Einstein-Klein-Gordon system in the framework of Gravitational Decoupling. We associate the generic matter decoupling sector with a real scalar field so we can obtain a constraint which allows to close the system of differential equations. The constraint corresponds to a differential equation involving the decoupling functions and the metric of the seed sector and will be independent of the scalar field itself. We show that when the equation admits analytical solutions, the scalar field and the self-interacting potential can be obtained straightforwardly. We found that, in the cases under consideration, it is possible to express the potential as an explicit function of the scalar field only for certain particular cases corresponding to limiting values of the parameters involved.

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  1. 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.

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