Cylindrically-Symmetric Solutions in Conformal Gravity

Abstract

Cylindrically-symmetric solutions in Conformal Gravity are investigated and several new solutions are presented and discussed. Among them, a family of vacuum solutions, generalizations of the Melvin solution and cosmic strings of the Abelian Higgs model. The Melvin-like solutions have finite energy per unit length, while the string-like solutions do not.Comment: 22 pages, revised version, accepted for publication in Phys. Rev.