The Heckmann's wormholes in Jordan-Brans-Dicke gravity

TL;DR

This paper presents a new vacuum wormhole solution within Jordan-Brans-Dicke gravity, analyzing its properties and conditions for the throat radius to be positive, contrasting it with previous solutions.

Contribution

It introduces a simple Heckmann's vacuum wormhole solution in Jordan-Brans-Dicke gravity and clarifies the conditions for the throat radius to be positive, differing from prior solutions.

Findings

Throat radius becomes positive when ω < -1.

Contrasts with class I Brans solution where the radius is real for ω < -4/3.

Provides a new explicit wormhole solution in scalar-tensor gravity.

Abstract

A simple Heckmann's vacuum wormhole solution of Jordan-Brans-Dicke gravitation is presented and analysed. It is shown that in contrast with class I Brans solution where the throat radius becomes real when $\omega < -4/3$ here it becomes positive when $\omega < -1$.