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 (...
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/3468381 |
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| author | J. Socorro Omar E. Núñez Rafael Hernández-Jiménez |
| author_facet | J. Socorro Omar E. Núñez Rafael Hernández-Jiménez |
| author_sort | J. Socorro |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-40c74aa9ff5343e099ba1c59b083fc21 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
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| series | Advances in Mathematical Physics |
| spelling | doaj-art-40c74aa9ff5343e099ba1c59b083fc212025-02-03T01:28:55ZengWileyAdvances 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2018/3468381 |
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