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

Understand

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.