Classical and quantum exact solutions for the anisotropic Bianchi type I in multi-scalar field cosmology with an exponential potential driven inflation

The anisotropic Bianchi type I in multi-scalar field cosmology is studied with a particular potential of the form V=V0e−[λ1ϕ1+⋯+λnϕn], which emerges as a condition between the time derivatives of their corresponding momenta. Using the Hamiltonian formalism for the inflation epoch with a quintessence...

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Main Authors:	J. Socorro, Omar E. Núñez, Rafael Hernández-Jiménez
Format:	Article
Language:	English
Published:	Elsevier 2020-10-01
Series:	Physics Letters B
Subjects:	Exact solutions Inflation Quantum and classical cosmology Anisotropic models
Online Access:	http://www.sciencedirect.com/science/article/pii/S0370269320304706

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spelling	doaj-cf71a0c720bf4d99a5992186910aeedf2020-11-25T02:06:07ZengElsevierPhysics Letters B0370-26932020-10-01809135667Classical and quantum exact solutions for the anisotropic Bianchi type I in multi-scalar field cosmology with an exponential potential driven inflationJ. Socorro0Omar E. Núñez1Rafael Hernández-Jiménez2Departamento de Física, DCeI, Universidad de Guanajuato-Campus León, C.P. 37150, León, Guanajuato, MéxicoDepartamento de Física, DCeI, Universidad de Guanajuato-Campus León, C.P. 37150, León, Guanajuato, México; Corresponding author.School of Physics and Astronomy, University of Edinburgh, Edinburgh, EH9 3FD, United KingdomThe anisotropic Bianchi type I in multi-scalar field cosmology is studied with a particular potential of the form V=V0e−[λ1ϕ1+⋯+λnϕn], which emerges as a condition between the time derivatives of their corresponding momenta. Using the Hamiltonian formalism for the inflation epoch with a quintessence framework we find the exact solutions for the Einstein-Klein-Gordon (EKG) system with different scenarios specified by the parameter λ2=∑i=1nλi2. For the quantum scheme of this model, the corresponding Wheeler-DeWitt (WDW) equation is solved by applying an appropriate change of variables and suitable ansatz.http://www.sciencedirect.com/science/article/pii/S0370269320304706Exact solutionsInflationQuantum and classical cosmologyAnisotropic models
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 the anisotropic Bianchi type I in multi-scalar field cosmology with an exponential potential driven inflation Physics Letters B Exact solutions Inflation Quantum and classical cosmology Anisotropic models
author_facet	J. Socorro Omar E. Núñez Rafael Hernández-Jiménez
author_sort	J. Socorro
title	Classical and quantum exact solutions for the anisotropic Bianchi type I in multi-scalar field cosmology with an exponential potential driven inflation
title_short	Classical and quantum exact solutions for the anisotropic Bianchi type I in multi-scalar field cosmology with an exponential potential driven inflation
title_full	Classical and quantum exact solutions for the anisotropic Bianchi type I in multi-scalar field cosmology with an exponential potential driven inflation
title_fullStr	Classical and quantum exact solutions for the anisotropic Bianchi type I in multi-scalar field cosmology with an exponential potential driven inflation
title_full_unstemmed	Classical and quantum exact solutions for the anisotropic Bianchi type I in multi-scalar field cosmology with an exponential potential driven inflation
title_sort	classical and quantum exact solutions for the anisotropic bianchi type i in multi-scalar field cosmology with an exponential potential driven inflation
publisher	Elsevier
series	Physics Letters B
issn	0370-2693
publishDate	2020-10-01
description	The anisotropic Bianchi type I in multi-scalar field cosmology is studied with a particular potential of the form V=V0e−[λ1ϕ1+⋯+λnϕn], which emerges as a condition between the time derivatives of their corresponding momenta. Using the Hamiltonian formalism for the inflation epoch with a quintessence framework we find the exact solutions for the Einstein-Klein-Gordon (EKG) system with different scenarios specified by the parameter λ2=∑i=1nλi2. For the quantum scheme of this model, the corresponding Wheeler-DeWitt (WDW) equation is solved by applying an appropriate change of variables and suitable ansatz.
topic	Exact solutions Inflation Quantum and classical cosmology Anisotropic models
url	http://www.sciencedirect.com/science/article/pii/S0370269320304706
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Classical and quantum exact solutions for the anisotropic Bianchi type I in multi-scalar field cosmology with an exponential potential driven inflation

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