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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

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

classification gr-qc
keywords decouplingfieldscalarcasesconstraintdifferentialeinstein-klein-gordonequation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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

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

    gr-qc 2026-07 accept novelty 5.0

    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.

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

    gr-qc 2026-07 conditional novelty 4.0

    A new family of regular black holes with Minkowskian cores is built via gravitational decoupling; their shadows and thin-disk images are nearly indistinguishable from Schwarzschild/Kerr, though the weak-energy-conditi...