Cosmological implications of gravitational collapse in F(R) theories

TL;DR

This paper compares the dynamics of spherical gravitational collapse in standard general relativity and modified F(R) gravity theories to understand their implications for large-scale structure formation in the universe.

Contribution

It provides an analytical model of spherical gravitational collapse in F(R) theories, extending previous models based on general relativity.

Findings

Collapse dynamics differ between GR and F(R) theories

Analytical models for large-scale structure formation are developed

Insights into the role of modified gravity in cosmic evolution

Abstract

We will make a comparison between the dynamics of spherical gravitational collapse for a perturbed FLRW universe to first order in the context of general relativity, with the corresponding results obtained for the gravitational collapse under theories of modified gravity f(R). This work is aimed at obtaining an analytical model of explanation a source of large scale structures in the universe presenting an approximation of model spherical gravitational collapse under theories of modified gravity f(R).