Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric
We study the quantum cosmology of a quadratic fR theory with a FRW metric, via one of its equivalent Horndeski type actions, where the dynamic of the scalar field is induced. The classical equations of motion and the Wheeler-DeWitt equation, in their exact versions, are solved numerically. There is...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/1056514 |
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| author | V. Vázquez-Báez C. Ramírez |
| author_facet | V. Vázquez-Báez C. Ramírez |
| author_sort | V. Vázquez-Báez |
| collection | DOAJ |
| description | We study the quantum cosmology of a quadratic fR theory with a FRW metric, via one of its equivalent Horndeski type actions, where the dynamic of the scalar field is induced. The classical equations of motion and the Wheeler-DeWitt equation, in their exact versions, are solved numerically. There is a free parameter in the action from which two cases follow: inflation + exit and inflation alone. The numerical solution of the Wheeler-DeWitt equation depends strongly on the boundary conditions, which can be chosen so that the resulting wave function of the universe is normalizable and consistent with Hermitian operators. |
| format | Article |
| id | doaj-art-46e28956e7a648b083da067d03582c25 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-46e28956e7a648b083da067d03582c252025-02-03T01:32:22ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/10565141056514Quantum Cosmology of Quadratic f(R) Theories with a FRW MetricV. Vázquez-Báez0C. Ramírez1Facultad de Ingeniería, Benemérita Universidad Autónoma de Puebla, 72000 Puebla, PUE, MexicoFacultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, P.O. Box 165, 72000 Puebla, PUE, MexicoWe study the quantum cosmology of a quadratic fR theory with a FRW metric, via one of its equivalent Horndeski type actions, where the dynamic of the scalar field is induced. The classical equations of motion and the Wheeler-DeWitt equation, in their exact versions, are solved numerically. There is a free parameter in the action from which two cases follow: inflation + exit and inflation alone. The numerical solution of the Wheeler-DeWitt equation depends strongly on the boundary conditions, which can be chosen so that the resulting wave function of the universe is normalizable and consistent with Hermitian operators.http://dx.doi.org/10.1155/2017/1056514 |
| spellingShingle | V. Vázquez-Báez C. Ramírez Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric Advances in Mathematical Physics |
| title | Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric |
| title_full | Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric |
| title_fullStr | Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric |
| title_full_unstemmed | Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric |
| title_short | Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric |
| title_sort | quantum cosmology of quadratic f r theories with a frw metric |
| url | http://dx.doi.org/10.1155/2017/1056514 |
| work_keys_str_mv | AT vvazquezbaez quantumcosmologyofquadraticfrtheorieswithafrwmetric AT cramirez quantumcosmologyofquadraticfrtheorieswithafrwmetric |