Non-Abelian cosmic strings in de Sitter and anti-de Sitter space

Abstract

In this paper we investigate the non-Abelian cosmic string in de Sitter and anti-de Sitter spacetimes. In order to do that we construct the complete set of equations of motion considering the presence of a cosmological constant. By using numerical analysis we provide the behavior of the Higgs and gauge fields and also for the metric tensor for specific values of the physical parameters of the theory. For de Sitter case, we find the appearance of horizons that although being consequence of the presence of the cosmological constant it strongly depends on the value of the gravitational coupling. In the anti-de Sitter case, we find that the system does not present horizons. In fact the new feature of this system is related with the behavior of the $(00)$ and $(zz)$ components of the metric tensor. They present a strongly increasing for large distance from the string.

15 pages, 7 figures. New version accepted for publication in PRD

References in corpus (2)

• Cosmic strings in a space-time with positive cosmological constant
• Gravitating non-Abelian cosmic strings

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• Topological effects in fermion condensate induced by cosmic string and compactification on AdS bulk
• Non-Abelian cosmic string in the Starobinsky model of gravity
• Electromagnetic vacuum stresses and energy fluxes induced by a cosmic string in de Sitter spacetime