Maintaining a Wormhole with a Scalar Field

TL;DR

This paper demonstrates that a wormhole can be maintained classically by coupling a scalar field to matter, creating an interaction energy-momentum tensor that violates the weak energy condition, thus avoiding the need for quantum exotic matter.

Contribution

It introduces a classical mechanism using scalar field coupling to sustain a wormhole without quantum exotic matter.

Findings

Interaction energy-momentum tensor violates weak energy condition

Wormhole stability achieved with classical scalar field coupling

No need for quantum exotic matter to keep wormhole open

Abstract

It is well known that it takes matter that violates the averaged weak energy condition to hold the throat of a wormhole open. The production of such ``exotic'' matter is usually discussed within the context of quantum field theory. In this paper I show that it is possible to produce the exotic matter required to hold a wormhole open classically. This is accomplished by coupling a scalar field to matter that satisfies the weak energy condition. The energy-momentum tensor of the scalar field and the matter separately satisfy the weak energy condition, but there exists an interaction energy-momentum tensor that does not. It is this interaction energy-momentum tensor that allows the wormhole to be maintained.