Black holes by gravitational decoupling

TL;DR

This paper explores how a spherically symmetric fluid affects the Schwarzschild solution using gravitational decoupling, revealing that the fluid must be anisotropic and providing explicit examples of such configurations.

Contribution

It introduces a gravitational decoupling method to analyze fluid modifications of Schwarzschild spacetime, demonstrating the necessity of anisotropic fluids and presenting explicit solutions.

Findings

Fluid must be anisotropic in the modified solutions

Explicit examples of anisotropic fluid configurations are provided

The minimal geometric deformation approach effectively decouples gravitational effects

Abstract

We investigate how a spherically symmetric fluid modifies the Schwarzschild vacuum solution when there is no exchange of energy-momentum between the fluid and the central source of the Schwarzschild metric. This system is described by means of the gravitational decoupling realised via the minimal geometric deformation approach, which allows us to prove that the fluid must be anisotropic. Several cases are then explicitly shown