  We demonstrate the existence of static stable spherical fluid shells in the
Schwarzschild-Rindler-anti-de Sitter (SRAdS) spacetime where $ds^2 = f(r)dt^{2}
-\frac{dr^{2}}{f(r)}-r^{2}(d\theta ^2 +\sin ^2 \theta d\phi ^2)$ with $f(r) = 1
-\frac{2Gm}{r} + 2 b r -\frac{\Lambda}{3}r^2$. This is an alternative to the
well known gravastar geometry where the stability emerges due to the
combination of the repulsive forces of the interior de Sitter space with the
attractive forces of the exterior Schwarzschild spacetime. In the SRAdS
spacetime the repulsion that leads to stability of the shell comes from a
negative Rindler term while the Schwarzschild and anti-de Sitter terms are
attractive. We demonstrate the existence of such stable spherical shells for
three shell fluid equations of state: vacuum shell ($p=-\sigma$), stiff matter
shell ($p=\sigma$) and dust shell ($p=0$) where $p$ is the shell pressure and
$\sigma$ is the shell surface density. We also identify the metric parameter
conditions that need to be satisfied for shell stability in each case. The
vacuum stable shell solution in the SRAdS spacetime is consistent with previous
studies by two of the authors that demonstrated the existence sf stable
spherical scalar field domain walls in the SRAdS spacetime.
