Backreaction to wormhole by classical scalar field: Will classical scalar field destroy wormhole?

TL;DR

This paper investigates how a classical scalar field's backreaction impacts the stability and formation of Lorentzian traversable wormholes, finding that it can hinder wormhole formation by dominating exotic matter effects.

Contribution

It provides a self-consistent solution showing that scalar field backreaction can prevent wormhole formation, highlighting the influence of classical scalar fields on wormhole stability.

Findings

Scalar field backreaction can dominate exotic matter effects

Backreaction may prevent wormhole formation

Self-consistent solutions demonstrate the hindrance effect

Abstract

There are two effects of extra matter fields on the Lorentzian traversable wormhole. The ``primary effect'' says that the extra matter can afford to be a part of source or whole source of the wormhole when the wormhole is being formed. Thus the matter does not affect the stability of wormhole and the wormhole is still safe. If the extra matter is extotic, it can be the whole part of the source of the wormhole. The ``auxiliary effect'' is that the extra matter plays the role of the additional matter to the stably-existed wormhole by the other exotic matter. This additional matter will change the geometry of wormhole enough to prevent from forming the wormhole by backreaction. In the minimally coupled massless scalar field case, the self-consistent solution was found. The backreaction of the scalar field can dominate the exotic matter part so that it will hinder the formation of the wormhole.