Abelian cosmic string in the Starobinsky model of gravity

Abstract

In this paper, I analyze numerically the behaviour of the solutions corresponding to an Abelian string in the framework of the Starobinsky model. The role played by the quadratic term in the Lagrangian density $f(R)=R+\eta R^2$ of this model is emphasized and the results are compared with the corresponding ones obtained in the framework of Einstein's theory of gravity. I have found that the angular deficit generated by the string is lowered as the $\eta$ parameter increases, allowing a well-behaved spacetime for a large range of values of the symmetry-breaking scale.

Published version

References in corpus (2)

• Cylindrical solutions in metric f(R) gravity
• Cosmic Strings and Cosmic Superstrings

Cited by in corpus (4)

• Scattering and bound states of a spin--1/2 neutral particle in the cosmic string spacetime
• Scalar resonant frequencies and Hawking effect of an $f(R)$ global monopole
• Non-Abelian cosmic string in the Starobinsky model of gravity
• Abelian cosmic string in the extended Starobinsky model of gravity