Stability of Brans–Dicke thin-shell wormholes

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 Letter, 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 β2>1β2>1, which may imply that the speed of sound exceeds the speed of light.

► Brans–Dicke thin-shell wormholes can be stable and satisfy the energy condition.
► Solutions exist for ω<−2ω<−2.
► The speed of sound in the matter exceeds the speed of light.