Classical and Quantum Exact Solutions for a FRW Multiscalar Field Cosmology with an Exponential Potential Driven Inflation

Classical and Quantum Exact Solutions for a FRW Multiscalar Field Cosmology with an Exponential Potential Driven Inflation

A flat Friedmann-Robertson-Walker (FRW) multiscalar field cosmology is studied with a particular potential of the form V(ϕ,σ)=V0e-λ1ϕ-λ2σ, which emerges as a relation between the time derivatives of the scalars field momenta. Classically, by employing the Hamiltonian formalism of two scalar fields (...

Full description

Bibliographic Details
Main Authors: J. Socorro, Omar E. Núñez, Rafael Hernández-Jiménez
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/3468381
id doaj-40c74aa9ff5343e099ba1c59b083fc21
record_format Article
spelling doaj-40c74aa9ff5343e099ba1c59b083fc212021-07-02T07:22:36ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/34683813468381Classical and Quantum Exact Solutions for a FRW Multiscalar Field Cosmology with an Exponential Potential Driven InflationJ. Socorro0Omar E. Núñez1Rafael Hernández-Jiménez2Departamento de Física, DCeI, Universidad de Guanajuato-Campus León, 37150 León, GTO, MexicoDepartamento de Física, DCeI, Universidad de Guanajuato-Campus León, 37150 León, GTO, MexicoSchool of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3FD, UKA flat Friedmann-Robertson-Walker (FRW) multiscalar field cosmology is studied with a particular potential of the form V(ϕ,σ)=V0e-λ1ϕ-λ2σ, which emerges as a relation between the time derivatives of the scalars field momenta. Classically, by employing the Hamiltonian formalism of two scalar fields (ϕ,σ) with standard kinetic energy, exact solutions are found for the Einstein-Klein-Gordon (EKG) system for different scenarios specified by the parameter λ2=λ12+λ22, as well as the e-folding function Ne 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.http://dx.doi.org/10.1155/2018/3468381
collection DOAJ
language English
format Article
sources DOAJ
author J. Socorro
Omar E. Núñez
Rafael Hernández-Jiménez
spellingShingle J. Socorro
Omar E. Núñez
Rafael Hernández-Jiménez
Classical and Quantum Exact Solutions for a FRW Multiscalar Field Cosmology with an Exponential Potential Driven Inflation
Advances in Mathematical Physics
author_facet J. Socorro
Omar E. Núñez
Rafael Hernández-Jiménez
author_sort J. Socorro
title Classical and Quantum Exact Solutions for a FRW Multiscalar Field Cosmology with an Exponential Potential Driven Inflation
title_short Classical and Quantum Exact Solutions for a FRW Multiscalar Field Cosmology with an Exponential Potential Driven Inflation
title_full Classical and Quantum Exact Solutions for a FRW Multiscalar Field Cosmology with an Exponential Potential Driven Inflation
title_fullStr Classical and Quantum Exact Solutions for a FRW Multiscalar Field Cosmology with an Exponential Potential Driven Inflation
title_full_unstemmed Classical and Quantum Exact Solutions for a FRW Multiscalar Field Cosmology with an Exponential Potential Driven Inflation
title_sort classical and quantum exact solutions for a frw multiscalar field cosmology with an exponential potential driven inflation
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2018-01-01
description A flat Friedmann-Robertson-Walker (FRW) multiscalar field cosmology is studied with a particular potential of the form V(ϕ,σ)=V0e-λ1ϕ-λ2σ, which emerges as a relation between the time derivatives of the scalars field momenta. Classically, by employing the Hamiltonian formalism of two scalar fields (ϕ,σ) with standard kinetic energy, exact solutions are found for the Einstein-Klein-Gordon (EKG) system for different scenarios specified by the parameter λ2=λ12+λ22, as well as the e-folding function Ne 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.
url http://dx.doi.org/10.1155/2018/3468381
work_keys_str_mv AT jsocorro classicalandquantumexactsolutionsforafrwmultiscalarfieldcosmologywithanexponentialpotentialdriveninflation
AT omarenunez classicalandquantumexactsolutionsforafrwmultiscalarfieldcosmologywithanexponentialpotentialdriveninflation
AT rafaelhernandezjimenez classicalandquantumexactsolutionsforafrwmultiscalarfieldcosmologywithanexponentialpotentialdriveninflation
_version_ 1721336133286100992

Similar Items