On Traversable Lorentzian Wormholes in the Vacuum Low Energy Effective String Theory in Einstein and Jordan Frames

TL;DR

This paper derives new classes of vacuum solutions in string theory and explores the existence and properties of traversable Lorentzian wormholes in both Einstein and Jordan frames, revealing unique scalar charge dynamics.

Contribution

It introduces three new solution classes in low energy string theory and analyzes the conditions for traversable wormholes in these solutions across different frames.

Findings

Traversable wormholes exist in five of eight solution classes.

Massless limit exists only in class I Einstein frame solution.

Scalar charge motion reveals a new hypothetical 'mass' confining scalar charges.

Abstract

Three new classes (II-IV) of solutions of the vacuum low energy effective string theory in four dimensions are derived. Wormhole solutions are investigated in those solutions including the class I case both in the Einstein and in the Jordan (string) frame. It turns out that, of the eight classes of solutions investigated (four in the Einstein frame and four in the corresponding string frame), massive Lorentzian traversable wormholes exist in five classes. Nontrivial massless limit exists only in class I Einstein frame solution while none at all exists in the string frame. An investigation of test scalar charge motion in the class I solution in the two frames is carried out by using the Plebanski-Sawicki theorem. A curious consequence is that the motion around the extremal zero (Keplerian) mass configuration leads, as a result of scalar-scalar interaction, to a new hypothetical "mass" that confines test scalar charges in bound orbits, but does not interact with neutral test particles.