Brans-Dicke wormholes in the Jordan and Einstein frames

Understand

We examine the possibility of static wormhole solutions in the vacuum Brans-Dicke theory both in the original (Jordan) frame and in the conformally rescaled (Einstein) frame.

• It turns out that, in the former frame, wormholes exist only in a very narrow interval of the coupling parameter, viz., -3/2<omega<-4/3.
• It is shown that these wormholes are not traversable in practice.
• In the latter frame, wormhole solutions do not exist at all unless energy conditions are violated by hand.