Universal procedure to cure future singularities of dark energy models

TL;DR

This paper develops a universal method to eliminate future singularities in dark energy models, tested across various theories including modified gravity and non-local gravity, aiming to resolve a common problem in cosmology.

Contribution

A universal procedure to cure all types of future singularities in dark energy models is proposed and validated through explicit examples across multiple theories.

Findings

Successfully cures all four types of future singularities.

Applicable to various models including modified gravity and non-local gravity.

Provides a systematic approach to address singularities in dark energy theories.

Abstract

A systematic search for different viable models of the dark energy universe, all of which give rise to finite-time, future singularities, is undertaken, with the purpose to try to find a solution to this common problem. After some work, a universal procedure to cure all future singularities is developed and carefully tested with the help of explicit examples corresponding to each one of the four different types of possible singularities, as classified in the literature. The cases of a fluid with an equation of state which depends on some parameter, of modified gravity non-minimally coupled to a matter Lagrangian, of non-local gravity, and of isotropic turbulence in a dark fluid universe theory are investigated in detail.