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We investigate self-similar scalar field solutions to the Einstein equationsin whole cylinder symmetry. Imposing self-similarity on the spacetime givesrise to a set of single variable functions describing the metric. Furthermore,it is shown that the scalar field is dependent on a single unknown function ofthe same variable and that the scalar field potential has exponential form. TheEinstein equations then take the form of a set of ODEs. Self-similarity alsogives rise to a singularity at the scaling origin. We discuss the number ofdegrees of freedom at an arbitrary point and prove existence and uniqueness ofa 2-parameter family of solutions with a regular axis. We discuss the evolutionof these solutions away from the axis toward the past null cone of thesingularity, determining the maximal interval of existence in each case.

Collapse of a cylindrically symmetric, self-similar scalar field with non-minimal coupling: Solutions with a regular axis