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arxiv: 1807.03252 · v2 · pith:54W4WVKSnew · submitted 2018-07-09 · 🌀 gr-qc

Minimal Geometric Deformation: the inverse problem

classification 🌀 gr-qc
keywords anisotropicsolutioneinsteinequationsfieldgeometricisotropicminimal
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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.

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