Time-Dependent Toroidal Compactification Proposals and the Bianchi Type I Model: Classical and Quantum Solutions
We construct an effective four-dimensional model by compactifying a ten-dimensional theory of gravity coupled with a real scalar dilaton field on a time-dependent torus. This approach is applied to anisotropic cosmological Bianchi type I model for which we study the classical coupling of the anisotr...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/6705021 |
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| author | L. Toledo Sesma J. Socorro O. Loaiza |
| author_facet | L. Toledo Sesma J. Socorro O. Loaiza |
| author_sort | L. Toledo Sesma |
| collection | DOAJ |
| description | We construct an effective four-dimensional model by compactifying a ten-dimensional theory of gravity coupled with a real scalar dilaton field on a time-dependent torus. This approach is applied to anisotropic cosmological Bianchi type I model for which we study the classical coupling of the anisotropic scale factors with the two real scalar moduli produced by the compactification process. Under this approach, we present an isotropization mechanism for the Bianchi I cosmological model through the analysis of the ratio between the anisotropic parameters and the volume of the Universe which in general keeps constant or runs into zero for late times. We also find that the presence of extra dimensions in this model can accelerate the isotropization process depending on the momenta moduli values. Finally, we present some solutions to the corresponding Wheeler-DeWitt (WDW) equation in the context of standard quantum cosmology. |
| format | Article |
| id | doaj-art-22e19834e63f409b96ea009cfa99ec13 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-22e19834e63f409b96ea009cfa99ec132025-08-20T03:54:48ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/67050216705021Time-Dependent Toroidal Compactification Proposals and the Bianchi Type I Model: Classical and Quantum SolutionsL. Toledo Sesma0J. Socorro1O. Loaiza2Departamento de Física, DCI, Universidad de Guanajuato, Campus León, Loma del Bosque No. 103 Colonia Lomas del Campestre, Apartado Postal E-143, 37150 León, GTO, MexicoDepartamento de Física, DCI, Universidad de Guanajuato, Campus León, Loma del Bosque No. 103 Colonia Lomas del Campestre, Apartado Postal E-143, 37150 León, GTO, MexicoDepartamento de Física, DCI, Universidad de Guanajuato, Campus León, Loma del Bosque No. 103 Colonia Lomas del Campestre, Apartado Postal E-143, 37150 León, GTO, MexicoWe construct an effective four-dimensional model by compactifying a ten-dimensional theory of gravity coupled with a real scalar dilaton field on a time-dependent torus. This approach is applied to anisotropic cosmological Bianchi type I model for which we study the classical coupling of the anisotropic scale factors with the two real scalar moduli produced by the compactification process. Under this approach, we present an isotropization mechanism for the Bianchi I cosmological model through the analysis of the ratio between the anisotropic parameters and the volume of the Universe which in general keeps constant or runs into zero for late times. We also find that the presence of extra dimensions in this model can accelerate the isotropization process depending on the momenta moduli values. Finally, we present some solutions to the corresponding Wheeler-DeWitt (WDW) equation in the context of standard quantum cosmology.http://dx.doi.org/10.1155/2016/6705021 |
| spellingShingle | L. Toledo Sesma J. Socorro O. Loaiza Time-Dependent Toroidal Compactification Proposals and the Bianchi Type I Model: Classical and Quantum Solutions Advances in High Energy Physics |
| title | Time-Dependent Toroidal Compactification Proposals and the Bianchi Type I Model: Classical and Quantum Solutions |
| title_full | Time-Dependent Toroidal Compactification Proposals and the Bianchi Type I Model: Classical and Quantum Solutions |
| title_fullStr | Time-Dependent Toroidal Compactification Proposals and the Bianchi Type I Model: Classical and Quantum Solutions |
| title_full_unstemmed | Time-Dependent Toroidal Compactification Proposals and the Bianchi Type I Model: Classical and Quantum Solutions |
| title_short | Time-Dependent Toroidal Compactification Proposals and the Bianchi Type I Model: Classical and Quantum Solutions |
| title_sort | time dependent toroidal compactification proposals and the bianchi type i model classical and quantum solutions |
| url | http://dx.doi.org/10.1155/2016/6705021 |
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