Stability of Brans-Dicke thin shell wormholes

TL;DR

This paper investigates the stability of spherically symmetric Brans-Dicke thin-shell wormholes supported by matter satisfying the weak energy condition, providing exact solutions and analyzing their stability criteria.

Contribution

It presents all exact solutions satisfying the weak energy condition and identifies stability conditions, including the critical parameter ^2>1, in Brans-Dicke wormholes.

Findings

Solutions can be stable for certain parameters.

Stability requires ^2>1, possibly implying superluminal sound speed.

WEC can be satisfied in stable wormhole configurations.

Abstract

Recently, a class of spherically symmetric thin-shell wormholes in Brans-Dicke gravity have been introduced. Such wormholes can be supported by matter satisfying the weak energy condition (WEC). In this paper, we first obtain all the exact solutions satisfying the WEC. Then we show these solutions can be stable for certain parameters. A general requirement for stability is that $\beta^2>1$, which may imply that the speed of sound exceeds the speed of light.