English

Minimal Geometric Deformation: the inverse problem

General Relativity and Quantum Cosmology 2018-09-26 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1807.03252,
  title  = {Minimal Geometric Deformation: the inverse problem},
  author = {Ernesto Contreras},
  journal= {arXiv preprint arXiv:1807.03252},
  year   = {2018}
}

Comments

5 pages. References added

R2 v1 2026-06-23T02:55:18.201Z