Thin shell wormhole from rotating hairy black hole in (2+1)-dimensions

Abstract

In this article, we theoretically construct a (2 + 1)-dimensional rotating thin shell wormhole using the Darmois-Israel junction formalism. This thin shell wormhole whose validity has been checked by analyzing the energy conditions, specifically, the weak and null energy conditions, is actually constructed by cutting and pasting two rotating hairy black hole spacetimes in (2+1)-dimensions. We further discuss different physical features of the constructed wormhole, viz., the nature of the gravitational field, the equation of state at the throat, and the time evolution of the throat radius. We also analyze the stability of the thin shell wormhole by investigating the equation of motion under small perturbations.