Stable, Spherical and Thin Fluid Shells

Abstract

We consider and prove the existence of stable, spherical, and thin fluid shells in the context of a Schwarzschild–Rindler-anti-de Sitter (SRAdS) background. We identify the metric parameter regions that allow the existence and stability of these shells for three cases of fluid equations of state. The case of the vacuum shell is especially interesting since it remains consistent with past studies by two of the authors of this manuscript, which showed the existence of stable spherical domain walls in the context of the same metric. This type of structure could be an alternative to the idea of the gravastar star formations.