Singularity-Free Two Dimensional Cosmologies

TL;DR

This paper introduces a class of two-dimensional gravity theories that produce nonsingular, homogeneous, and isotropic cosmological solutions, including inflationary stages, generalizing dilaton gravity models.

Contribution

It presents new two-dimensional gravity models with nonsingular solutions that evolve into matter-dominated universes, extending previous dilaton gravity frameworks.

Findings

Models admit nonsingular, homogeneous, isotropic solutions.

Solutions include inflationary stages driven by gravity.

Models encompass vacuum and matter-coupled cases.

Abstract

We present a class of theories of two dimensional gravity which admits homogeneous and isotropic solutions that are nonsingular and asymptotically approach a FRW matter dominated universe at late times. These models are generalizations of two dimensional dilaton gravity and both vacuum solutions and those including conformally coupled matter are investigated. In each case our construction leads to an inflationary stage driven by the gravitational sector. Our work comprises a simple example of the `Nonsingular Universe' constructions of ref. [1].