Bianchi I Spacetimes in Chiral–Quintom Theory

In this paper, we study anisotropic exact solutions in the homogeneous Bianchi I background geometry in a multifield theory. Specifically, we consider the Chiral–Quintom theory, which is an extension of the Chiral theory, because at least one of the scalar fields can have negative energy density. Mo...

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Main Author: Andronikos Paliathanasis
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/8/10/503
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author Andronikos Paliathanasis
author_facet Andronikos Paliathanasis
author_sort Andronikos Paliathanasis
collection DOAJ
description In this paper, we study anisotropic exact solutions in the homogeneous Bianchi I background geometry in a multifield theory. Specifically, we consider the Chiral–Quintom theory, which is an extension of the Chiral theory, because at least one of the scalar fields can have negative energy density. Moreover, the Quintom theory can be recovered when one of the free parameters of the theory vanishes. We find that Kasner-like and anisotropic exponential solutions exist for specific functional forms of the scalar field potential. Finally, Noether symmetry analysis is applied for the classification of the theory according to the admitted symmetries. Conservation laws are determined, while we show that the Kasner-like solution is the analytic solution for the given model.
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spelling doaj.art-ce97a8b9e4094680b32b9753d3cf29fb2023-11-24T03:01:21ZengMDPI AGUniverse2218-19972022-09-0181050310.3390/universe8100503Bianchi I Spacetimes in Chiral–Quintom TheoryAndronikos Paliathanasis0Institute of Systems Science, Durban University of Technology, P.O. Box 1334, Durban 4000, South AfricaIn this paper, we study anisotropic exact solutions in the homogeneous Bianchi I background geometry in a multifield theory. Specifically, we consider the Chiral–Quintom theory, which is an extension of the Chiral theory, because at least one of the scalar fields can have negative energy density. Moreover, the Quintom theory can be recovered when one of the free parameters of the theory vanishes. We find that Kasner-like and anisotropic exponential solutions exist for specific functional forms of the scalar field potential. Finally, Noether symmetry analysis is applied for the classification of the theory according to the admitted symmetries. Conservation laws are determined, while we show that the Kasner-like solution is the analytic solution for the given model.https://www.mdpi.com/2218-1997/8/10/503Bianchi spacetimesscalar fieldcosmology
spellingShingle Andronikos Paliathanasis
Bianchi I Spacetimes in Chiral–Quintom Theory
Universe
Bianchi spacetimes
scalar field
cosmology
title Bianchi I Spacetimes in Chiral–Quintom Theory
title_full Bianchi I Spacetimes in Chiral–Quintom Theory
title_fullStr Bianchi I Spacetimes in Chiral–Quintom Theory
title_full_unstemmed Bianchi I Spacetimes in Chiral–Quintom Theory
title_short Bianchi I Spacetimes in Chiral–Quintom Theory
title_sort bianchi i spacetimes in chiral quintom theory
topic Bianchi spacetimes
scalar field
cosmology
url https://www.mdpi.com/2218-1997/8/10/503
work_keys_str_mv AT andronikospaliathanasis bianchiispacetimesinchiralquintomtheory