TY - JOUR
T1 - Averaging generalized scalar field cosmologies II
T2 - locally rotationally symmetric Bianchi I and flat Friedmann–Lemaître–Robertson–Walker models
AU - Leon, Genly
AU - Cuéllar, Sebastián
AU - González, Esteban
AU - Lepe, Samuel
AU - Michea, Claudio
AU - Millano, Alfredo D.
N1 - Funding Information:
This research was funded by Agencia Nacional de Investigaci?n y Desarrollo- ANID through the program FONDECYT Iniciaci?n Grant No. 11180126 and by Vicerrector?a de Investigaci?n y Desarrollo Tecnol?gico at Universidad Cat?lica del Norte. Ellen de los Milagros Fern?ndez Flores is acknowledged for proofreading this manuscript and for improving the English. We thank anonymous referee for his/her valuable comments which have helped us to improve our work.
Funding Information:
This research was funded by Agencia Nacional de Investigación y Desarrollo- ANID through the program FONDECYT Iniciación Grant No. 11180126 and by Vicerrectoría de Investigación y Desarrollo Tecnológico at Universidad Católica del Norte. Ellen de los Milagros Fernández Flores is acknowledged for proofreading this manuscript and for improving the English. We thank anonymous referee for his/her valuable comments which have helped us to improve our work.
Publisher Copyright:
© 2021, The Author(s).
PY - 2021/6
Y1 - 2021/6
N2 - Scalar field cosmologies with a generalized harmonic potential and a matter fluid with a barotropic equation of state (EoS) with barotropic index γ for the locally rotationally symmetric (LRS) Bianchi I and flat Friedmann–Lemaître–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 γ, 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.
AB - Scalar field cosmologies with a generalized harmonic potential and a matter fluid with a barotropic equation of state (EoS) with barotropic index γ for the locally rotationally symmetric (LRS) Bianchi I and flat Friedmann–Lemaître–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 γ, 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.
UR - http://www.scopus.com/inward/record.url?scp=85107150892&partnerID=8YFLogxK
U2 - 10.1140/epjc/s10052-021-09230-5
DO - 10.1140/epjc/s10052-021-09230-5
M3 - Article
AN - SCOPUS:85107150892
VL - 81
JO - European Physical Journal C
JF - European Physical Journal C
SN - 1434-6044
IS - 6
M1 - 489
ER -