Einstein-Bogomol’nyi equation and Gravitating Vortex equations on Riemann surfaces

Abstract: The Einstein’s Fields Equation coupled with an Abelian gauge field and a Higgs field possesses a special type of solution, mathematically known as Einstein-Bogomol’nyi equation and physically known as Cosmic Strings. In this talk, I will present some existence theorems for such equation and also its close companion Gravitating Cortex equations, introduced from a moment map picture. This is based on the joint work with Garcia-Fernandez and Pingali.

Mathematics

Audience: researchers in the topic

Geometry Seminar - University of Florence

Series comments: If you are interested in attending, please send a message to daniele.angella@unifi.it or francesco.pediconi@unifi.it.