Averaging Generalized Scalar Field Cosmologies II: Locally Rotationally Symmetric Bianchi I and flat Friedmann-Lema\^itre-Robertson-Walker models
Scalar field cosmologies with a generalized harmonic potential and a matter fluid with a barotropic Equation of State (EoS) with barotropic index $\gamma$ for the Locally Rotationally Symmetric (LRS) Bianchi I and flat Friedmann-Lema\^itre-Robertson-Walker (FLRW) metrics are investigated. Methods fr...
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| creator | Leon, Genly Cuéllar, Sebastián González, Esteban Lepe, Samuel Michea, Claudio Millano, Alfredo D |
| description | Scalar field cosmologies with a generalized harmonic potential and a matter
fluid with a barotropic Equation of State (EoS) with barotropic index $\gamma$
for the Locally Rotationally Symmetric (LRS) Bianchi I and flat
Friedmann-Lema\^itre-Robertson-Walker (FLRW) metrics are investigated. Methods
from the theory of averaging of nonlinear dynamical systems are used to prove
that time-dependent systems and their corresponding time-averaged versions have
the same late-time dynamics. Therefore, the simplest time-averaged system
determines the future asymptotic behavior. Depending on the values of $\gamma$,
the late-time attractors of physical interests are flat quintessence dominated
FLRW universe and Einstein-de Sitter solution. With this approach, the
oscillations entering the system through the Klein-Gordon (KG) equation can be
controlled and smoothed out as the Hubble parameter $H$ - acting as
time-dependent perturbation parameter - tends monotonically to zero. Numerical
simulations are presented as evidence of such behavior. |
| doi_str_mv | 10.48550/arxiv.2102.05495 |
| format | Article |
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fluid with a barotropic Equation of State (EoS) with barotropic index $\gamma$
for the Locally Rotationally Symmetric (LRS) Bianchi I and flat
Friedmann-Lema\^itre-Robertson-Walker (FLRW) metrics are investigated. Methods
from the theory of averaging of nonlinear dynamical systems are used to prove
that time-dependent systems and their corresponding time-averaged versions have
the same late-time dynamics. Therefore, the simplest time-averaged system
determines the future asymptotic behavior. Depending on the values of $\gamma$,
the late-time attractors of physical interests are flat quintessence dominated
FLRW universe and Einstein-de Sitter solution. With this approach, the
oscillations entering the system through the Klein-Gordon (KG) equation can be
controlled and smoothed out as the Hubble parameter $H$ - acting as
time-dependent perturbation parameter - tends monotonically to zero. Numerical
simulations are presented as evidence of such behavior.</description><identifier>DOI: 10.48550/arxiv.2102.05495</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - General Relativity and Quantum Cosmology ; Physics - Mathematical Physics</subject><creationdate>2021-02</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,777,882</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2102.05495$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2102.05495$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1140/epjc/s10052-021-09230-5$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Leon, Genly</creatorcontrib><creatorcontrib>Cuéllar, Sebastián</creatorcontrib><creatorcontrib>González, Esteban</creatorcontrib><creatorcontrib>Lepe, Samuel</creatorcontrib><creatorcontrib>Michea, Claudio</creatorcontrib><creatorcontrib>Millano, Alfredo D</creatorcontrib><title>Averaging Generalized Scalar Field Cosmologies II: Locally Rotationally Symmetric Bianchi I and flat Friedmann-Lema\^itre-Robertson-Walker models</title><description>Scalar field cosmologies with a generalized harmonic potential and a matter
fluid with a barotropic Equation of State (EoS) with barotropic index $\gamma$
for the Locally Rotationally Symmetric (LRS) Bianchi I and flat
Friedmann-Lema\^itre-Robertson-Walker (FLRW) metrics are investigated. Methods
from the theory of averaging of nonlinear dynamical systems are used to prove
that time-dependent systems and their corresponding time-averaged versions have
the same late-time dynamics. Therefore, the simplest time-averaged system
determines the future asymptotic behavior. Depending on the values of $\gamma$,
the late-time attractors of physical interests are flat quintessence dominated
FLRW universe and Einstein-de Sitter solution. With this approach, the
oscillations entering the system through the Klein-Gordon (KG) equation can be
controlled and smoothed out as the Hubble parameter $H$ - acting as
time-dependent perturbation parameter - tends monotonically to zero. Numerical
simulations are presented as evidence of such behavior.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - General Relativity and Quantum Cosmology</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFj7FOw0AQRK-hQMAHULE_YOOEWAI6iDBYSpUg0SCsxbcxK_Zu0d4pwvwFf0yw6KlmRjPFPOdOZ1W5uKzr6hztk3flfFbNy6peXNWH7vtmR4YDxwHuKe6t8Bd52PQoaNAwiYelpqCiA1OCtr2Gle5bGWGtGTNrnMJmDIGycQ-3jLF_Y2gBo4etYIbGmHzAGIsVBXx-4WxUrPWVLCeNxRPKOxkE9STp2B1sURKd_OmRO2vuHpcPxXS--zAOaGP3C9FNEBf_L34AC2hUcQ</recordid><startdate>20210210</startdate><enddate>20210210</enddate><creator>Leon, Genly</creator><creator>Cuéllar, Sebastián</creator><creator>González, Esteban</creator><creator>Lepe, Samuel</creator><creator>Michea, Claudio</creator><creator>Millano, Alfredo D</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20210210</creationdate><title>Averaging Generalized Scalar Field Cosmologies II: Locally Rotationally Symmetric Bianchi I and flat Friedmann-Lema\^itre-Robertson-Walker models</title><author>Leon, Genly ; Cuéllar, Sebastián ; González, Esteban ; Lepe, Samuel ; Michea, Claudio ; Millano, Alfredo D</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2102_054953</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - General Relativity and Quantum Cosmology</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Leon, Genly</creatorcontrib><creatorcontrib>Cuéllar, Sebastián</creatorcontrib><creatorcontrib>González, Esteban</creatorcontrib><creatorcontrib>Lepe, Samuel</creatorcontrib><creatorcontrib>Michea, Claudio</creatorcontrib><creatorcontrib>Millano, Alfredo D</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Leon, Genly</au><au>Cuéllar, Sebastián</au><au>González, Esteban</au><au>Lepe, Samuel</au><au>Michea, Claudio</au><au>Millano, Alfredo D</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Averaging Generalized Scalar Field Cosmologies II: Locally Rotationally Symmetric Bianchi I and flat Friedmann-Lema\^itre-Robertson-Walker models</atitle><date>2021-02-10</date><risdate>2021</risdate><abstract>Scalar field cosmologies with a generalized harmonic potential and a matter
fluid with a barotropic Equation of State (EoS) with barotropic index $\gamma$
for the Locally Rotationally Symmetric (LRS) Bianchi I and flat
Friedmann-Lema\^itre-Robertson-Walker (FLRW) metrics are investigated. Methods
from the theory of averaging of nonlinear dynamical systems are used to prove
that time-dependent systems and their corresponding time-averaged versions have
the same late-time dynamics. Therefore, the simplest time-averaged system
determines the future asymptotic behavior. Depending on the values of $\gamma$,
the late-time attractors of physical interests are flat quintessence dominated
FLRW universe and Einstein-de Sitter solution. With this approach, the
oscillations entering the system through the Klein-Gordon (KG) equation can be
controlled and smoothed out as the Hubble parameter $H$ - acting as
time-dependent perturbation parameter - tends monotonically to zero. Numerical
simulations are presented as evidence of such behavior.</abstract><doi>10.48550/arxiv.2102.05495</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Physics - General Relativity and Quantum Cosmology Physics - Mathematical Physics |
| title | Averaging Generalized Scalar Field Cosmologies II: Locally Rotationally Symmetric Bianchi I and flat Friedmann-Lema\^itre-Robertson-Walker models |
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