Brans-Dicke wormholes in the Jordan and Einstein frames
K. K. NandiDepartment of Mathematics, University of North Bengal, Darjeeling (W.B.), 734 430, IndiaB. BhattacharjeeDepartment of Physics, University of North Bengal, Darjeeling (W.B.), 734 430, IndiaS. M. K. Alam265/3, West Sheorapara, Mirpur, Dhaka, BangladeshJ. C. EvansDepartment of Physics, University of Puget Sound, Tacoma, Washington 98416
1998en
ABI
Abstract
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., $\ensuremath{-}3/2<\ensuremath{\omega}<\ensuremath{-}4/3.$ 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.
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