Anisotropic Cosmology in the Local Limit of Nonlocal Gravity

TL;DR

This paper explores anisotropic cosmological models within a nonlocal gravity framework, analyzing how modifications to Einstein's theory influence cosmic acceleration and discussing potential observational implications.

Contribution

It introduces a class of Bianchi type I models in nonlocal gravity, detailing the modified field equations and the role of the susceptibility function S(t) in cosmic acceleration.

Findings

S(t) influences anisotropic cosmic acceleration

Modified gravity reduces to GR when S=0

Implications for observational cosmology are discussed

Abstract

Within the framework of the local limit of nonlocal gravity (NLG), we investigate a class of Bianchi type I spatially homogeneous but anisotropic cosmological models. The modified field equations are presented in this case and some special solutions are discussed in detail. This modified gravity theory contains a susceptibility function S(x) such that general relativity (GR) is recovered for S = 0. In the modified anisotropic cosmological models, we explore the contribution of S(t) and its temporal derivative to the local anisotropic cosmic acceleration. The implications of our results for observational cosmology are briefly discussed.