Klein–Gordon equation

Physics

Gravitation

Engineering

Control engineering

Einstein

Nonlinear system

Decoupling (probability)

Theoretical physics

Mathematical physics

Quantum mechanics

Classical mechanics

EPL (Europhysics Letters)

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.

Einstein-Klein-Gordon system by gravitational decoupling