The Minimal Geometric Deformation Approach: a brief introduction

TL;DR

This paper introduces the Minimal Geometric Deformation approach, a method for generating brane-world configurations from general relativistic solutions, providing a foundational overview.

Contribution

It offers a concise introduction and review of the Minimal Geometric Deformation method, highlighting its application in deriving brane-world models from known solutions.

Findings

Successfully used to generate brane-world configurations

Provides a detailed review of the MGD approach

Facilitates new solutions in brane-world scenarios

Abstract

We review the basic elements of the Minimal Geometric Deformation approach in details. This method has been successfully used to generate brane-world configurations from general relativistic perfect fluid solutions.