General solutions to $$\mathcal {N}$$ N -field cosmology with exponential potentials

General solutions to $$\mathcal {N}$$ N -field cosmology with exponential potentials

Abstract We construct the general analytical solution for the $$\mathcal {N}$$ N -field product-exponential potential in an expanding FLRW background. We demonstrate the relevance of this analytical solution in more general contexts for the derivation of estimates for the transitional time between a...

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Main Author: Perseas Christodoulidis
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09268-5
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spelling doaj-bd4e278ff7f94f3ab0f52253f79d581b2021-05-30T11:44:48ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-05-0181511010.1140/epjc/s10052-021-09268-5General solutions to $$\mathcal {N}$$ N -field cosmology with exponential potentialsPerseas Christodoulidis0Van Swinderen Institute for Particle Physics and Gravity, University of GroningenAbstract We construct the general analytical solution for the $$\mathcal {N}$$ N -field product-exponential potential in an expanding FLRW background. We demonstrate the relevance of this analytical solution in more general contexts for the derivation of estimates for the transitional time between an arbitrary initial state and the slow-roll solutions. In certain cases, these estimates can also be used to demonstrate the non-linear convergence towards the slow-roll solutions. In addition, we extend the solution to include stiff matter as well.https://doi.org/10.1140/epjc/s10052-021-09268-5
collection DOAJ
language English
format Article
sources DOAJ
author Perseas Christodoulidis
spellingShingle Perseas Christodoulidis
General solutions to $$\mathcal {N}$$ N -field cosmology with exponential potentials
European Physical Journal C: Particles and Fields
author_facet Perseas Christodoulidis
author_sort Perseas Christodoulidis
title General solutions to $$\mathcal {N}$$ N -field cosmology with exponential potentials
title_short General solutions to $$\mathcal {N}$$ N -field cosmology with exponential potentials
title_full General solutions to $$\mathcal {N}$$ N -field cosmology with exponential potentials
title_fullStr General solutions to $$\mathcal {N}$$ N -field cosmology with exponential potentials
title_full_unstemmed General solutions to $$\mathcal {N}$$ N -field cosmology with exponential potentials
title_sort general solutions to $$\mathcal {n}$$ n -field cosmology with exponential potentials
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2021-05-01
description Abstract We construct the general analytical solution for the $$\mathcal {N}$$ N -field product-exponential potential in an expanding FLRW background. We demonstrate the relevance of this analytical solution in more general contexts for the derivation of estimates for the transitional time between an arbitrary initial state and the slow-roll solutions. In certain cases, these estimates can also be used to demonstrate the non-linear convergence towards the slow-roll solutions. In addition, we extend the solution to include stiff matter as well.
url https://doi.org/10.1140/epjc/s10052-021-09268-5
work_keys_str_mv AT perseaschristodoulidis generalsolutionstomathcalnnfieldcosmologywithexponentialpotentials
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