Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 39, Issue 11, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1361-6382/ac5fbf
Keywords
scalar field cosmologies; asymptotic analysis; averaging methods; generalized harmonic potentials
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Funding
- Agencia Nacional de Investigacion y Desarrollo-ANID through the program FONDECYT [11180126]
- Agencia Nacional de Investigacion y Desarrollo-ANID-Subdireccion de Capital Humano/Doctorado Nacional/ano 2020 [21200837]
- Direccion de Investigacion y Postgrado at Universidad de Aconcagua
- Vicerrectoria de Investigacion y Desarrollo Tecnologico at Universidad Catolica del Norte
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This paper investigates scalar field cosmologies with a generalized harmonic potential in flat and negatively curved metrics. The interaction between the scalar field and matter is taken into account. Asymptotic methods and averaging theory are used to obtain information about the solution space, and numerical simulations are used to provide evidence for the results.
Scalar field cosmologies with a generalized harmonic potential are investigated in flat and negatively curved Friedmann-Lemaitre-Robertson-Walker and Bianchi I metrics. An interaction between the scalar field and matter is considered. Asymptotic methods and averaging theory are used to obtain relevant information about the solution space. In this approach, the Hubble parameter plays the role of a time-dependent perturbation parameter which controls the magnitude of the error between full-system and time-averaged solutions as it decreases. Our approach is used to show that full and time-averaged systems have the same asymptotic behavior. Numerical simulations are presented as evidence of such behavior. Relevant results show that the asymptotic behavior of the solutions is independent of the coupling function.
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