A dynamical symmetry breaking model in Weyl space

Details A dynamical symmetry breaking model in Weyl space A dynamical symmetry breaking model in Weyl space

1998-05-11

arxiv.org/abs/gr-qc/9805035v1

J.Math.Phys.39:3322-3331,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, RevTex, to be published in J. Math. Phys

Scientific paper

10.1063/1.532256

The dynamical process following the breaking of Weyl geometry to Riemannian geometry is considered by studying the motion of de Sitter bubbles in a Weyl vacuum. The bubbles are given in terms of an exact, spherically symmetric thin shell solution to the Einstein equations in a Weyl-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 applications. An 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.

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