Abelian-Higgs strings in Rastall gravity

Understand

In this paper we analyze Abelian-Higgs strings in a phenomenological model that takes quantum effects in curved space-time into account.

• This model, first introduced by Rastall, cannot be derived from an action principle.
• We formulate phenomenological equations of motion under the guiding principle of minimal possible deformation of the standard equations.
• We construct string solutions that asymptote to a flat space-time with a deficit angle by solving the set of coupled non-linear ordinary differential equations numerically.