Self-supporting wormholes in four dimensions with scalar field

Abstract

AbstractIn this paper, we investigated the space-time obtained by quotients of the $$AdS_4$$ A d S 4 space-time. Further quotient with specific $${\mathbb {Z}}_2$$ Z 2 is considered. Taking up the first-order perturbation in metric, we estimated the backreaction of the matter field on space-time geometry. We can calculate the expectation value of the stress-energy tensor by pulling it back onto the covering space. The average null energy becomes negative when the suitable boundary condition is chosen, resulting in a traversable wormhole.