Anisotropic Cosmology in the Local Limit of Nonlocal Gravity

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.

25 pages; v2: minor improvements, invited contribution to appear in Universe

References in corpus (13)

• The teleparallel equivalent of general relativity
• Cosmological perturbations and structure formation in nonlocal infrared modifications of general relativity
• Cosmic Microwave Background Quadrupole and Ellipsoidal Universe
• Ellipsoidal Universe Can Solve The CMB Quadrupole Problem
• Nonlocal Gravity Simulates Dark Matter
• Constraints on a Bianchi type I spacetime extension of the standard $\Lambda$CDM model
• A formal framework for a nonlocal generalization of Einstein's theory of gravitation
• Non-Local Gravity Cosmology: an Overview
• Nonlocal Cosmology II --- Cosmic acceleration without fine tuning or dark energy
• Primordial bouncing cosmology in the Deser-Woodard nonlocal gravity
• Constitutive law of nonlocal gravity
• Double-Kasner Spacetime: Peculiar Velocities and Cosmic Jets
• Cosmic acceleration with bulk viscosity in an anisotropic $f(R,L_m)$ background