Non-singular models of universes in teleparallel theories

TL;DR

This paper explores non-singular universe models within teleparallel theories, demonstrating how specific fluid equations of state lead to early inflation, matter dominance, and late-time acceleration without singularities.

Contribution

It introduces new non-singular cosmological models in teleparallel theories using specific equations of state, including loop quantum cosmology scenarios.

Findings

Models exhibit early inflation and late-time acceleration.

Universes transition smoothly through different phases.

Non-singular solutions avoid traditional cosmological singularities.

Abstract

Different models of universes are considered in the context of teleparallel theories. Assuming that the universe is filled by a fluid with equation of state (EoS) $P=-\rho-f(\rho)$, for different teleparallel theories and different EoS we study its dynamics. Two particular cases are studied in detail: in the first one we consider a function $f$ with two zeros (two de Sitter solutions) that mimics a huge cosmological constant at early times and a pressureless fluid at late times. In the second one, in the context of loop quantum cosmology with a small cosmological constant, we consider a pressureless fluid ($P=0\Leftrightarrow f(\rho)=-\rho$) which means that there are a de Sitter and an anti de Sitter solution. In both cases one obtains a non-singular universe that at early times is in an inflationary phase, after leaving this phase it passes trough a matter dominated phase and finally at late times it expands in an accelerated way.