The role of exterior Weyl fluids on compact stellar structures in Randall-Sundrum gravity

TL;DR

This paper investigates how exterior Weyl stresses from bulk gravitons influence the structure of compact stars within Randall-Sundrum gravity, revealing that dark radiation increases stellar pressure and compactness, while dark pressure decreases them.

Contribution

It introduces a new interior solution using the minimal geometric deformation approach to analyze exterior Weyl effects on compact stars in Randall-Sundrum gravity.

Findings

Exterior dark radiation increases pressure and compactness.

Exterior dark pressure reduces pressure and compactness.

New physically acceptable interior solution derived.

Abstract

In the context of the Randall-Sundrum braneworld, the minimal geometric deformation approach (MGD) is used to generate a new physically acceptable interior solution to Einstein's field equations for a spherically symmetric compact distribution. This new solution is used to elucidate the role of exterior Weyl stresses from bulk gravitons on compact stellar distributions. We found strong evidences showing that the exterior dark radiation ${\cal U}^+$ always increases both the pressure and the compactness of stellar structures, and that the exterior "dark pressure" ${\cal P}^+$ always reduces them.