A DYNAMICAL SYMMETRY-BREAKING MODEL IN WEYL SPACE

The dynamical process following the breaking of Weyl geometry to Riema nnian geometry is considered by studying the motion of de Sitter bubbl es in a Weyl vacuum. The bubbles are given in terms of an exact, spher ically symmetric thin shell solution to the Einstein equations in a We yl-Dirac theory with a time-dependent scalar field of the form beta=f( t)/r. The dynamical solutions obtained lead to a number of possible ap plications. Bn important feature of the thin shell model is the manner in which beta provides a connection between the interior and exterior geometries since information about the exterior geometry is contained in the boundary conditions for beta. (C) 1998 American Institute of P hysics.