Classical and quantum exact solutions for a FRW multi-scalar field cosmology with an exponential potential driven inflation

A flat Fiedmann-Robertson-Walker (FRW) multi-scalar field cosmology is studied with a particular potential of the form \( \rm V(\phi,\sigma)=V_0 e^{-\lambda_1 \phi-\lambda_2 \sigma}\), which emerges as a relation between the time derivatives of the scalars field momenta. Classically, by employing th...

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Bibliographic Details
Published in:arXiv.org 2018-11
Main Authors: Socorro, J, Núñez, Omar E, Hernández-Jiménez, Rafael
Format: Article
Language:English
Subjects:
Cosmology
Exact solutions
Kinetic energy
Scalars
Online Access:Get full text
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Summary:A flat Fiedmann-Robertson-Walker (FRW) multi-scalar field cosmology is studied with a particular potential of the form \( \rm V(\phi,\sigma)=V_0 e^{-\lambda_1 \phi-\lambda_2 \sigma}\), which emerges as a relation between the time derivatives of the scalars field momenta. Classically, by employing the Hamiltonian formalism of two scalar fields \(\rm(\phi,\sigma)\) with standard kinetic energy, exact solutions are found for the Einstein-Klein-Gordon (EKG) system for different scenarios specified by the parameter \(\rm\lambda^2=\lambda_1^2+\lambda_2^2\), as well as the e-folding function \(\rm N_{e}\) which is also computed. For the quantum scheme of this model, the corresponding Wheeler-DeWitt (WDW) equation is solved by applying an appropriate change of variables.
ISSN:2331-8422
DOI:10.48550/arxiv.1811.11565