Brans wormholes

TL;DR

This paper demonstrates that multiple Brans solutions can admit traversable wormhole geometries within Brans-Dicke theory, with the scalar field acting as exotic matter violating energy conditions, expanding the parameter space for wormhole solutions.

Contribution

It shows that Brans solutions of classes I--IV can admit traversable wormholes for a broader range of parameters, including positive w values, unlike previous assumptions.

Findings

Three of four Brans solutions admit wormhole geometries.

Traversable wormholes are possible for all positive and negative w values.

Scalar field acts as exotic matter violating energy conditions.

Abstract

It is shown that three of the four Brans solutions of classes I--IV admit wormhole geometry. Two-way traversable wormholes in the Brans-Dicke theory are allowed not only for the negative values of the coupling parameter w (w<-2), as concluded earlier, but also for arbitrary positive values of w (w<infinity). It also follows that the scalar field f plays the role of exotic matter violating the weak energy condition.