Oscillating cosmological correlations in f(R) gravity

TL;DR

This paper explores oscillatory patterns in the universe's large-scale structure using a Schrödinger-like approach within f(R) gravity, revealing diverse behaviors of the universe's wave-function during the dust epoch.

Contribution

It introduces a novel analysis of cosmological oscillations using a Schrödinger-like formulation in f(R) gravity, extending understanding beyond standard general relativity.

Findings

Different behaviors of the universe's wave-function in f(R) models

Oscillatory features linked to large-scale structure observations

Insights into the universe's evolution during the dust epoch

Abstract

The purpose of this paper is to investigate the oscillatory behavior of the universe through a Schr\"odinger-like Friedmann equation and a modified gravitational background described by the theory of f (R) gravity. The motivation for this stems from the observed periodic behaviour of large-scale cosmological structures when described within the scope of the general theory of relativity. The analysis of the modified Friedmann equation for the dust epoch in power-law f (R) models results in different behaviors for the wave-function of the universe.