Einstein-Klein-Gordon by gravitational decoupling

Abstract

We investigate how a spherically symmetric scalar field can modify the Schwarzschild vacuum solution when there is no exchange of energy-momentum between the scalar field and the central source of the Schwarzschild metric. This system is described by means of the gravitational decoupling by Minimal Geometric Deformation (MGD-decoupling), which allows us to show that, under the MGD paradigm, the Schwarzschild solution is modified in such a way that a naked singularity appears.

arXiv comment16 pages, 2 figures. arXiv admin note: text overlap with arXiv:1804.03468

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