Schwarzschild-de Sitter and Anti-de Sitter Thin-Shell Wormholes and Their Stability

Abstract EN

This paper is devoted to construct Schwarzschild-de Sitter and anti-de Sitter thin-shell wormholes by employing Visser’s cut and paste technique.

The Darmois-Israel formalism is adopted to formulate the surface stresses of the shell.

We analyze null and weak energy conditions as well as attractive and repulsive characteristics of thin-shell wormholes.

We also explore stable and unstable solutions against linear perturbations by taking two different Chaplygin gas models for exotic matter.

It is concluded that the stress-energy tensor componentsviolate the null and weak energy conditions indicating the existence ofexotic matter at the wormhole throat.

Finally, we find unstable andstable configurations for the constructed thin-shell wormholes.