Averaging Problem in Cosmology and Macroscopic Gravity

TL;DR

This paper discusses the averaging problem in cosmology within general relativity, introduces macroscopic gravity as a solution, and presents an exact cosmological solution illustrating its properties.

Contribution

It introduces macroscopic gravity as a novel approach to resolve the averaging problem in cosmology and provides an exact solution demonstrating its application.

Findings

An exact cosmological solution to macroscopic gravity equations is derived.

Macroscopic gravity offers a consistent framework for averaging in cosmology.

The properties of the solution highlight potential implications for cosmological modeling.

Abstract

The Averaging problem in general relativity and cosmology is discussed. The approach of macroscopic gravity to resolve the problem is presented. An exact cosmological solution to the equations of macroscopic gravity is given and its properties are discussed. Contents: 1. Introduction to General Relativity 2. General Relativity -> Relativistic Cosmology 3. Introduction to Relativistic Cosmology 4. Relativistic Cosmology -> Mathematical Cosmology 5. Averaging Problem in Relativistic Cosmology 6. History of the Averaging Problem 7. Averaging and FLRW Cosmologies 8. Averaging Problem in General Relativity 9. Macroscopic Gravity and General Relativity 10. Macroscopic Gravity and Cosmology 11. The System of Macroscopic Gravity Equations 12. An Exact Cosmological Solution