Scaling Laws for the Cosmological Constant

TL;DR

This paper investigates how different scaling laws for the cosmological constant influence the universe's late-time expansion, revealing various possible behaviors including de Sitter, power-law, super-exponential expansion, and future singularities.

Contribution

It introduces a framework linking the cosmological constant's scaling laws to universe expansion dynamics, inspired by renormalisation group ideas in quantum theories.

Findings

Identification of de Sitter, power-law, and super-exponential expansion solutions.

Discovery of potential future singularities like Big Rip and Big Crunch.

Connection between renormalisation scale choices and cosmological evolution.

Abstract

We study the expansion of the universe at late times in the case that the cosmological constant obeys certain scaling laws motivated by renormalisation group running in quantum theories. The renormalisation scale is identified with the Hubble scale and the inverse radii of the event and particle horizon, respectively. We find de Sitter solutions, power-law expansion and super-exponential expansion in addition to future singularities of the Big Rip and Big Crunch type.