Local Limit of Nonlocal Gravity: Cosmological Perturbations

TL;DR

This paper investigates the cosmological effects of a local limit of nonlocal gravity within teleparallelism, analyzing linear perturbations and their compatibility with observational data, including the cosmic microwave background, and addressing the H0 tension.

Contribution

It introduces a modified Cartesian flat cosmological model based on the local limit of nonlocal gravity and studies its linear perturbations and observational viability.

Findings

The model can alleviate the H0 tension.

Perturbations are consistent with CMB data.

The theory extends Einstein's gravity within teleparallelism.

Abstract

We explore the cosmological implications of the local limit of nonlocal gravity, which is a classical generalization of Einstein's theory of gravitation within the framework of teleparallelism. An appropriate solution of this theory is the modified Cartesian flat cosmological model. The main purpose of this paper is to study linear perturbations about the orthonormal tetrad frame field adapted to the standard comoving observers in this model. The observational viability of the perturbed model is examined using all available data regarding the cosmic microwave background. The implications of the linearly perturbed modified Cartesian flat model are examined and it is shown that the model is capable of alleviating the $H_0$ tension.