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

Abstract

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.

References in corpus (8)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
• 'The End'
• Black holes of $(2+1)$-dimensional $f(R)$ gravity coupled to a scalar field
• Two scalar field cosmology from coupled one-field models