Formation and Evolution of Wakes in the Spacetime Generated by a Cosmic String in $f(R)$ Theory of Gravity

TL;DR

This paper studies how cosmic string wakes form and evolve within $f(R)$ gravity, comparing results with those from General Relativity and scalar theories, using the Zel'dovich approximation.

Contribution

It introduces an analysis of cosmic string wake dynamics specifically in $f(R)$ gravity, extending previous models beyond General Relativity.

Findings

Cosmic string wakes behave differently in $f(R)$ gravity compared to General Relativity.

The Zel'dovich approximation effectively models wake formation in modified gravity.

Results highlight potential observational differences in cosmic structures due to $f(R)$ modifications.

Abstract

The formation and evolution of cosmic string wakes in the framework of a $f(R)$ theory of gravity are investigated in this work. We consider a simple model in which baryonic matter flows past a cosmic string. We treat this problem in the Zel'dovich approximation. We compare our results with previous results obtained in the context of General Relativity and Scalar-Theories of Gravity.