Singularities in Inflationary Cosmological Models

Due to the accelerated expansion of the universe, the possibilities for the formation of singularities has changed from the classical Big Bang and Big Crunch singularities to include a number of new scenarios. In recent papers it has been shown that such singularities may appear in inflationary cosm...

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Main Author: Leonardo Fernández-Jambrina
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/7/12/491
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author Leonardo Fernández-Jambrina
author_facet Leonardo Fernández-Jambrina
author_sort Leonardo Fernández-Jambrina
collection DOAJ
description Due to the accelerated expansion of the universe, the possibilities for the formation of singularities has changed from the classical Big Bang and Big Crunch singularities to include a number of new scenarios. In recent papers it has been shown that such singularities may appear in inflationary cosmological models with a fractional power scalar field potential. In this paper we enlarge the analysis of singularities in scalar field cosmological models by the use of generalised power expansions of their Hubble scalars and their scalar fields in order to describe all possible models leading to a singularity, finding other possible cases. Unless a negative scalar field potential is considered, all singularities are weak and of type IV.
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spelling doaj.art-02d2f5dd7e3f4f2789e191ca57abfe932023-11-23T10:52:43ZengMDPI AGUniverse2218-19972021-12-0171249110.3390/universe7120491Singularities in Inflationary Cosmological ModelsLeonardo Fernández-Jambrina0Matemática e Informática Aplicadas, E.T.S.I. Navales, Universidad Politécnica de Madrid, Avenida de la Memoria 4, E-28040 Madrid, SpainDue to the accelerated expansion of the universe, the possibilities for the formation of singularities has changed from the classical Big Bang and Big Crunch singularities to include a number of new scenarios. In recent papers it has been shown that such singularities may appear in inflationary cosmological models with a fractional power scalar field potential. In this paper we enlarge the analysis of singularities in scalar field cosmological models by the use of generalised power expansions of their Hubble scalars and their scalar fields in order to describe all possible models leading to a singularity, finding other possible cases. Unless a negative scalar field potential is considered, all singularities are weak and of type IV.https://www.mdpi.com/2218-1997/7/12/491singularitycosmologyinflation
spellingShingle Leonardo Fernández-Jambrina
Singularities in Inflationary Cosmological Models
Universe
singularity
cosmology
inflation
title Singularities in Inflationary Cosmological Models
title_full Singularities in Inflationary Cosmological Models
title_fullStr Singularities in Inflationary Cosmological Models
title_full_unstemmed Singularities in Inflationary Cosmological Models
title_short Singularities in Inflationary Cosmological Models
title_sort singularities in inflationary cosmological models
topic singularity
cosmology
inflation
url https://www.mdpi.com/2218-1997/7/12/491
work_keys_str_mv AT leonardofernandezjambrina singularitiesininflationarycosmologicalmodels