Testing the Dark Universe through the Layzer-Irvine Equation

TL;DR

This paper reviews the Layzer-Irvine equation, a cosmic generalisation of the virial theorem, exploring its applications in dark matter-dark energy interactions and alternative gravity theories.

Contribution

It provides a comprehensive review of the Layzer-Irvine equation's role in cosmology and discusses future research directions.

Findings

Reviewed applications in dark matter-dark energy interaction models

Discussed implications in alternative theories of gravity

Highlighted future research directions

Abstract

We review the cosmic generalisation of the virial theorem known as the Layzer-Irvine equation, also independently derived by Dmitriev and Zeldovich. This equation has been studied in the literature for dark matter-dark energy interaction models, as well as in the context of alternative theories of gravity. We discuss results from the previous scenarios and point out future directions.