The traversable wormhole with classical scalar fields

TL;DR

This paper investigates static traversable wormholes coupled with quadratic scalar fields, revealing that the minimal size of such wormholes can be quantized under certain boundary conditions for positive non-minimal massive scalar fields.

Contribution

It provides new solutions for scalar fields in wormhole backgrounds and shows size quantization conditions for positive non-minimal massive scalar fields.

Findings

Minimal wormhole size is quantized under specific boundary conditions.

Solutions for scalar fields in wormhole backgrounds are derived.

The study connects scalar field properties with wormhole geometry constraints.

Abstract

We study the Lorentzian static traversable wormholes coupled to quadratic scalar fields. We also obtain the solutions of the scalar fields and matters in the wormhole background and find that the minimal size of the wormhole should be quantized under the appropriate boundary conditions for the positive non-minimal massive scalar field.