Self-supporting wormholes with massive vector field

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.

20 pages, 3 figures

References in corpus (2)

• Achronal averaged null energy condition
• A holographic proof of the averaged null energy condition

Cited by in corpus (5)

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• Self-Supporting Wormholes in Four Dimensions with Scalar Field