Non-Abelian cosmic string in the Starobinsky model of gravity

Abstract

In this paper, we analyze numerically the behaviour of the solutions corresponding to a non-Abelian cosmic string in the framework of the Starobinsky model, i.e. where $f(R)=R+\zeta R^2$. We perform the calculations for both an asymptotically flat and asymptotically (anti)de Sitter spacetimes. We found that the angular deficit generated by the string decreases as the parameter $\zeta$ increases, in the case of a null cosmological constant. For a positive cosmological constant, we found that the cosmic horizon is affected in a non-trivial way by the parameter $\zeta$.

arXiv comment16 pages, 9 figures, accepted for publication in IJMPD

References in corpus (10)

• f(R) Theories Of Gravity
• Cosmic strings
• Cosmic Strings and Cosmic Superstrings
• Complete Classification of the String-like Solutions of the Gravitating Abelian Higgs Model
• Classical solutions of the Gravitating Abelian Higgs Model
• Strings in de Sitter space
• Non-Abelian cosmic strings in de Sitter and anti-de Sitter space
• Gravitating non-Abelian cosmic strings
• Abelian cosmic string in the Starobinsky model of gravity
• Cosmic string with two interacting scalar fields