Regular Article - Theoretical Physics
Minimal Geometric Deformation: the inverse problem
Escuela Superior Politécnica del Litoral, ESPOL, Facultad de Ciencias Naturales y Matemáticas, Campus Gustavo Galindo Km 30.5 Vía Perimetral, Apartado Postal 09-01-5863, Guayaquil, Ecuador
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Accepted: 17 August 2018
Published online: 24 August 2018
In this paper we show that any static and spherically symmetric anisotropic solution of the Einstein field equations can be thought as a system sourced by certain deformed isotropic system in the context of Minimal Geometric Deformation-decoupling approach. To be more precise, we developed a mechanism to obtain an isotropic solution from any anisotropic solution of the Einstein field equations. As an example, we implement the method to obtain the sources of a simple static anisotropic and spherically symmetric traversable wormhole.
© The Author(s), 2018