BRANS-DICKE AND RELATED EUCLIDEAN WORMHOLES

In a recent paper(1) Euclidean wormhole solution has been obtained wit h a vacuum Brans-Dicke theory with parameter omega = 0. These wormhole s suffer from unphysical values of the gravitational constant. One can relate the various known wormholes by means of conformal transformati ons; although one should not transform them directly to the Einstein f rame as the gravitational constant there is ''forced'' physical: so re moving the wormholes. However, by arguing for the existence of a funda mental minimum length scale such wormholes can now be considered as re presentative of quantum gravitational phenomena. One can also obtain w ormholes as solutions of the quantum mechanical Wheeler-De Witt equati on; now in Brans-Dicke for any omega > -3/2.