Self-supporting wormholes with massive vector field

TL;DR

This paper demonstrates that a massive vector field in a specific quotient of BTZ black hole spacetime can induce a traversable wormhole by creating negative energy conditions through boundary conditions and back-reaction analysis.

Contribution

It introduces a novel setup with a massive vector field in a quotient BTZ spacetime to realize self-supporting traversable wormholes via boundary conditions and stress-energy tensor analysis.

Findings

Negative energy on null geodesics enables traversability.

Exact computation of stress-energy tensor via pull-back method.

First-order metric perturbation analysis confirms wormhole stability.

Abstract

In this paper we consider a massive vector field in the background of a space-time obtained by certain Z2 quotient of the BTZ black hole. We analyse the back reaction of the matter field on the space-time geometry up to first order in metric perturbation. The expectation value of the stress-energy tensor can be computed exactly by considering its pull-back onto the covering space. Upon a suitable choice of the boundary condition on the vector field around a non-contractible cycle of the quotient manifold it is possible to obtain the average energy on a null geodesic to be negative there by resulting a traversable wormhole.