Cosmological solutions of chameleon scalar field model

Abstract We investigate cosmological solutions of the chameleon model with a non-minimal coupling between the matter and the scalar field through a conformal factor with gravitational strength. By considering the spatially flat FLRW metric and the matter density as a non-relativistic perfect fluid,...

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Main Authors: Raziyeh Zaregonbadi, Nasim Saba, Mehrdad Farhoudi
Format: Article
Language:English
Published: SpringerOpen 2023-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-12138-x
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author Raziyeh Zaregonbadi
Nasim Saba
Mehrdad Farhoudi
author_facet Raziyeh Zaregonbadi
Nasim Saba
Mehrdad Farhoudi
author_sort Raziyeh Zaregonbadi
collection DOAJ
description Abstract We investigate cosmological solutions of the chameleon model with a non-minimal coupling between the matter and the scalar field through a conformal factor with gravitational strength. By considering the spatially flat FLRW metric and the matter density as a non-relativistic perfect fluid, we focus on the matter-dominated phase and the late-time accelerated-phase of the universe. In this regard, we manipulate and scrutinize the related field equations for the density parameters of the matter and the scalar fields with respect to the e-folding. Since the scalar field fluctuations depend on the background and the field equations become highly non-linear, we probe and derive the governing equations in the context of various cases of the relation between the kinetic and potential energies of the chameleon scalar field, or indeed, for some specific cases of the scalar field equation of state parameter. Thereupon, we schematically plot those density parameters for two different values of the chameleon non-minimal coupling parameter, and discuss the results. In the both considered phases, we specify that, when the kinetic energy of the chameleon scalar field is much less than its potential energy (i.e., when the scalar field equation of state parameter is $$\simeq - 1 $$ ≃ - 1 ), the behavior of the chameleon model is similar to the $$\Lambda CDM$$ Λ C D M model. Such compatibility suggests that the chameleon model is phenomenologically viable and can be tested with the observational data.
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spelling doaj.art-6ea451f7c805433dab669c90c6e1a7342024-03-24T12:31:15ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-10-01831011610.1140/epjc/s10052-023-12138-xCosmological solutions of chameleon scalar field modelRaziyeh Zaregonbadi0Nasim Saba1Mehrdad Farhoudi2Department of Physics, Faculty of Science, Malayer UniversityDepartment of Physics, Shahid Beheshti UniversityDepartment of Physics, Shahid Beheshti UniversityAbstract We investigate cosmological solutions of the chameleon model with a non-minimal coupling between the matter and the scalar field through a conformal factor with gravitational strength. By considering the spatially flat FLRW metric and the matter density as a non-relativistic perfect fluid, we focus on the matter-dominated phase and the late-time accelerated-phase of the universe. In this regard, we manipulate and scrutinize the related field equations for the density parameters of the matter and the scalar fields with respect to the e-folding. Since the scalar field fluctuations depend on the background and the field equations become highly non-linear, we probe and derive the governing equations in the context of various cases of the relation between the kinetic and potential energies of the chameleon scalar field, or indeed, for some specific cases of the scalar field equation of state parameter. Thereupon, we schematically plot those density parameters for two different values of the chameleon non-minimal coupling parameter, and discuss the results. In the both considered phases, we specify that, when the kinetic energy of the chameleon scalar field is much less than its potential energy (i.e., when the scalar field equation of state parameter is $$\simeq - 1 $$ ≃ - 1 ), the behavior of the chameleon model is similar to the $$\Lambda CDM$$ Λ C D M model. Such compatibility suggests that the chameleon model is phenomenologically viable and can be tested with the observational data.https://doi.org/10.1140/epjc/s10052-023-12138-x
spellingShingle Raziyeh Zaregonbadi
Nasim Saba
Mehrdad Farhoudi
Cosmological solutions of chameleon scalar field model
European Physical Journal C: Particles and Fields
title Cosmological solutions of chameleon scalar field model
title_full Cosmological solutions of chameleon scalar field model
title_fullStr Cosmological solutions of chameleon scalar field model
title_full_unstemmed Cosmological solutions of chameleon scalar field model
title_short Cosmological solutions of chameleon scalar field model
title_sort cosmological solutions of chameleon scalar field model
url https://doi.org/10.1140/epjc/s10052-023-12138-x
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AT nasimsaba cosmologicalsolutionsofchameleonscalarfieldmodel
AT mehrdadfarhoudi cosmologicalsolutionsofchameleonscalarfieldmodel