The Schwarzschild's Braneworld Solution

TL;DR

This paper derives a new braneworld version of Schwarzschild's interior solution using the minimal geometric deformation approach, analyzing Weyl functions' behavior relative to stellar compactness.

Contribution

It introduces a novel exact interior solution for static braneworld stars within the Randall-Sundrum model, expanding the understanding of bulk effects on stellar structure.

Findings

Weyl functions vary with stellar compactness

The solution generalizes classical Schwarzschild interior solution

Insights into bulk effects on star properties

Abstract

In the context of the Randall-Sundrum braneworld, the minimal geometric deformation approach, which has been successfully used to generate exact interior solutions to Einstein's field equations for static braneworld stars with local and non-local bulk terms, is used to obtain the braneworld version of the Schwarzschild's interior solution. Using this new solution, the behaviour of the Weyl functions is elucidated in terms of the compactness for different stellar distributions.