An oscillating Universe from the linearized R^{2} theory of gravity

TL;DR

This paper proposes an oscillating universe model derived from linearized R^{2} gravity theory, aligning with observations like redshift and Hubble law, and interprets Dark Energy as a curvature effect from the Ricci scalar.

Contribution

It introduces a novel oscillating universe model based on R^{2} gravity, linking Dark Energy to curvature effects, and shows consistency with key cosmological observations.

Findings

The model reproduces the cosmological redshift and Hubble law.

Dark Energy is interpreted as a pure curvature effect.

The oscillating universe scenario aligns with observational evidence.

Abstract

An oscillating Universe which arises from the linearized R^{2} theory of gravity is discussed, showing that some observative evidences like the cosmological redshift and the Hubble law are in agreement with the model. In this context Dark Energy is seen like a pure curvature effect arising by the Ricci scalar.