Volume 124, Number 2, October 2018
|Number of page(s)||7|
|Published online||19 November 2018|
Einstein-Klein-Gordon system by gravitational decoupling
1 Institute of Physics and Research Centre of Theoretical Physics and Astrophysics, Faculty of Philosophy and Science, Silesian University in Opava - CZ-746 01 Opava, Czech Republic
2 Departamento de Física, Universidad Simón Bolívar - AP 89000, Caracas 1080A, Venezuela
3 Dipartimento di Fisica e Astronomia, Alma Mater Università di Bologna - via Irnerio 46, 40126 Bologna, Italy
4 Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, I.S. FLAG - viale Berti Pichat 6/2, 40127 Bologna, Italy
5 Centro de Matemática, Computação e Cognição, Universidade Federal do ABC (UFABC) 09210-580, Santo André, SP, Brazil
6 Departamento de Matemáticas, Universidad de Antofagasta - Antofagasta, Chile
Received: 23 August 2018
Accepted: 12 October 2018
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.
PACS: 04.50.Kd – Modified theories of gravity / 04.20.Jb – Exact solutions / 04.70.Bw – Classical black holes
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