# A causal Schwarzschild-de Sitter interior solution by gravitational decoupling

## TL;DR

This paper develops an exact anisotropic interior solution for Schwarzschild spacetime with a cosmological constant using gravitational decoupling, resulting in a physically viable model with non-uniform density and subluminal sound speed.

## Contribution

It introduces a novel anisotropic interior solution employing gravitational decoupling, extending the Schwarzschild interior to include a cosmological constant with realistic physical properties.

## Key findings

- Matter density is non-uniform in the new solution.
- The solution exhibits subluminal sound speed.
- It satisfies all standard physical criteria for astrophysical objects.

## Abstract

We employ the minimal geometric deformation approach to gravitational decoupling (MGD- decoupling) in order to build an exact anisotropic version of the Schwarzschild interior solution in a space-time with cosmological constant. Contrary to the well-known Schwarzschild interior, the matter density in the new solution is not uniform and possesses subluminal sound speed. It therefore satisfies all standard physical requirements for a candidate astrophysical object.