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.

arXiv comment15 pages, 7 figures. New version accepted for publication in PRD

References in corpus (16)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Gauge Theory Correlators from Non-Critical String Theory
• Planck 2013 results. XXV. Searches for cosmic strings and other topological defects
• Signals of Inflationary Models with Cosmic Strings
• Seeking String Theory in the Cosmos
• Complete Classification of the String-like Solutions of the Gravitating Abelian Higgs Model
• Classical solutions of the Gravitating Abelian Higgs Model
• Global Monopole in Asymptotically dS/AdS Spacetime
• Vortices in De Sitter Spacetimes
• Strings in de Sitter space
• de Sitter/ Anti-de Sitter global monopoles
• Gravitating (field theoretical) cosmic (p,q)-superstrings
• Cosmic strings in a space-time with positive cosmological constant
• Gravitating non-Abelian cosmic strings
• Supermassive Cosmic String Compactifications

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• Fermionic vacuum polarization around a cosmic string in compactified AdS spacetime
• Scattering and bound states of a spin--1/2 neutral particle in the cosmic string spacetime
• 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