TY - JOUR
T1 - Averaging generalized scalar field cosmologies I
T2 - locally rotationally symmetric Bianchi III and open Friedmann–Lemaître–Robertson–Walker models
AU - Leon, Genly
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 improving the English. We thank anonymous referee for his/her comments which have helped us 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 improving the English. We thank anonymous referee for his/her comments which have helped us improve our work.
Publisher Copyright:
© 2021, The Author(s).
PY - 2021/5
Y1 - 2021/5
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 locally rotationally symmetric (LRS) Bianchi III metric and open Friedmann–Lemaître–Robertson–Walker (FLRW) metric 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, simple time-averaged systems determine the future asymptotic behavior. Depending on values of barotropic index γ late-time attractors of physical interests for LRS Bianchi III metric are Bianchi III flat spacetime, matter dominated FLRW universe (mimicking de Sitter, quintessence or zero acceleration solutions) and matter-curvature scaling solution. For open FLRW metric late-time attractors are a matter dominated FLRW universe and Milne solution. With this approach, oscillations entering nonlinear system through Klein–Gordon (KG) equation can be controlled and smoothed out as the Hubble factor H – acting as a time-dependent perturbation parameter – tends monotonically to zero. Numerical simulations are presented as evidence of such behaviour.
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 locally rotationally symmetric (LRS) Bianchi III metric and open Friedmann–Lemaître–Robertson–Walker (FLRW) metric 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, simple time-averaged systems determine the future asymptotic behavior. Depending on values of barotropic index γ late-time attractors of physical interests for LRS Bianchi III metric are Bianchi III flat spacetime, matter dominated FLRW universe (mimicking de Sitter, quintessence or zero acceleration solutions) and matter-curvature scaling solution. For open FLRW metric late-time attractors are a matter dominated FLRW universe and Milne solution. With this approach, oscillations entering nonlinear system through Klein–Gordon (KG) equation can be controlled and smoothed out as the Hubble factor H – acting as a time-dependent perturbation parameter – tends monotonically to zero. Numerical simulations are presented as evidence of such behaviour.
UR - http://www.scopus.com/inward/record.url?scp=85105705499&partnerID=8YFLogxK
U2 - 10.1140/epjc/s10052-021-09185-7
DO - 10.1140/epjc/s10052-021-09185-7
M3 - Article
AN - SCOPUS:85105705499
VL - 81
JO - European Physical Journal C
JF - European Physical Journal C
SN - 1434-6044
IS - 5
M1 - 414
ER -