Cosmological Solutions in Macroscopic Gravity

TL;DR

This paper derives exact cosmological solutions within macroscopic gravity, showing that correlation effects can mimic spatial curvature and influence large-scale cosmological dynamics.

Contribution

It provides the first exact solutions in macroscopic gravity for homogeneous and isotropic universes, revealing correlation tensors as effective spatial curvature terms.

Findings

Correlation tensor acts as an effective spatial curvature.

Exact solutions for homogeneous and isotropic macroscopic spacetime.

Physical implications of correlation effects on cosmology.

Abstract

In the macroscopic gravity approach to the averaging problem in cosmology, the Einstein field equations on cosmological scales are modified by appropriate gravitational correlation terms. We present exact cosmological solutions to the equations of macroscopic gravity for a spatially homogeneous and isotropic macroscopic space-time and find that the correlation tensor is of the form of a spatial curvature term. We briefly discuss the physical consequences of these results.