On cosmological solutions in a spontaneously broken gauge theory
Yves Brihaye (University of Mons, Belgium), Betti Hartmann, (International University Bremen, Germany), Eugen Radu (National, University of Ireland Maynooth)
TL;DR
This paper investigates cosmological solutions in a Yang-Mills-Higgs system coupled to gravity within de Sitter space, focusing on monopoles and sphalerons, and discusses their mass properties and existence conditions.
Contribution
It analyzes the existence and properties of monopole and sphaleron solutions in a cosmological setting with a Higgs potential, highlighting their mass behavior.
Findings
Finite mass within the horizon for solutions
Mass diverges at timelike infinity
No solutions without Higgs potential
Abstract
We consider solutions of the Yang-Mills-Higgs system coupled to gravity in asymptotically de Sitter spacetime. The basic features of two classes of solutions are discussed, one of them corresponding to magnetic monopoles, the other one to sphalerons. We find that although the total mass within the cosmological horizon of these configurations is finite, their mass evaluated at timelike infinity generically diverges. Also, no solutions exist in the absence of a Higgs potential.
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