Beyond Einstein Gravity The Minimal Geometric Deformation Approach in the Brane-World

This book serves two main purposes: firstly, it shows, in a simple way, how the possible existence of an extra-spatial dimension would affect the predictions of four-dimensional General Relativity, a model known as the Brane world; secondly, it explains, step-by-step, a new technique called Minimal Geometric Deformation, which was introduced for the purpose of solving the correspondingly modified Einstein field equations. This method gave rise to the Gravitational Decoupling in General Relativity, which is widely used to solve the Einstein field equations in various contexts.

The Minimal Geometric Deformation.- Stellar Distributions.-  Microscopic Black Holes.-  A Generalization of the Minimal Geometric Deformation.-  Gravitational Decoupling.

Jorge Ovalle is a theoretical physicist, full professor and senior researcher who has worked in several countries, investigating General Relativity (exact solutions, gravitational collapse, black holes) and High Energy Physics (superstring and supergravity theory). He has published papers in high-impact journals and developed the Minimal Geometric Deformation technique and the Gravitational Decoupling approach in General Relativity.

Roberto Casadio is an associate professor of theoretical physics and a senior researcher in quantum and semiclassical aspects of gravity, from compact objects to cosmology. He has published many papers on extra-dimensional models and the Minimal Geometric Deformation technique, and developed horizon quantum mechanics and the bootstrapped Newtonian approach for describing black holes as quantum objects.