Generalization of instanton-induced inflation and dynamical compactification
Abstract It was shown that Yang-Mills instantons on an internal space can trigger the expansion of our four-dimensional universe as well as the dynamical compactification of the internal space. We generalize the instanton-induced inflation and dynamical compactification to general Einstein manifolds...
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Format: | Article |
Language: | English |
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SpringerOpen
2023-11-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP11(2023)050 |
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author | Jeongwon Ho Kyung Kiu Kim Seoktae Koh Hyun Seok Yang |
author_facet | Jeongwon Ho Kyung Kiu Kim Seoktae Koh Hyun Seok Yang |
author_sort | Jeongwon Ho |
collection | DOAJ |
description | Abstract It was shown that Yang-Mills instantons on an internal space can trigger the expansion of our four-dimensional universe as well as the dynamical compactification of the internal space. We generalize the instanton-induced inflation and dynamical compactification to general Einstein manifolds with positive curvature and also to the FLRW metric with spatial curvature. We explicitly construct Yang-Mills instantons on all Einstein manifolds under consideration and find that the homogeneous and isotropic universe is allowed only if the internal space is homogeneous. We then consider the FLRW metric with spatial curvature as a solution of the eight-dimensional Einstein-Yang-Mills theory. We find that open universe (k = −1) admits bouncing solutions unlike the other cases (k = 0, +1). |
first_indexed | 2024-03-11T11:08:32Z |
format | Article |
id | doaj.art-870eb7aa13a648a5aa7bc970086731cf |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-24T07:21:03Z |
publishDate | 2023-11-01 |
publisher | SpringerOpen |
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series | Journal of High Energy Physics |
spelling | doaj.art-870eb7aa13a648a5aa7bc970086731cf2024-04-21T11:04:45ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231112810.1007/JHEP11(2023)050Generalization of instanton-induced inflation and dynamical compactificationJeongwon Ho0Kyung Kiu Kim1Seoktae Koh2Hyun Seok Yang3Center for Quantum Spacetime, Sogang UniversityCollege of General Education, Kookmin UniversityDepartment of Science Education, Jeju National UniversityDepartment of Physics and Photon Science, Gwangju Institute of Science and TechnologyAbstract It was shown that Yang-Mills instantons on an internal space can trigger the expansion of our four-dimensional universe as well as the dynamical compactification of the internal space. We generalize the instanton-induced inflation and dynamical compactification to general Einstein manifolds with positive curvature and also to the FLRW metric with spatial curvature. We explicitly construct Yang-Mills instantons on all Einstein manifolds under consideration and find that the homogeneous and isotropic universe is allowed only if the internal space is homogeneous. We then consider the FLRW metric with spatial curvature as a solution of the eight-dimensional Einstein-Yang-Mills theory. We find that open universe (k = −1) admits bouncing solutions unlike the other cases (k = 0, +1).https://doi.org/10.1007/JHEP11(2023)050Cosmological modelsSolitons Monopoles and Instantons |
spellingShingle | Jeongwon Ho Kyung Kiu Kim Seoktae Koh Hyun Seok Yang Generalization of instanton-induced inflation and dynamical compactification Journal of High Energy Physics Cosmological models Solitons Monopoles and Instantons |
title | Generalization of instanton-induced inflation and dynamical compactification |
title_full | Generalization of instanton-induced inflation and dynamical compactification |
title_fullStr | Generalization of instanton-induced inflation and dynamical compactification |
title_full_unstemmed | Generalization of instanton-induced inflation and dynamical compactification |
title_short | Generalization of instanton-induced inflation and dynamical compactification |
title_sort | generalization of instanton induced inflation and dynamical compactification |
topic | Cosmological models Solitons Monopoles and Instantons |
url | https://doi.org/10.1007/JHEP11(2023)050 |
work_keys_str_mv | AT jeongwonho generalizationofinstantoninducedinflationanddynamicalcompactification AT kyungkiukim generalizationofinstantoninducedinflationanddynamicalcompactification AT seoktaekoh generalizationofinstantoninducedinflationanddynamicalcompactification AT hyunseokyang generalizationofinstantoninducedinflationanddynamicalcompactification |