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...

Full description

Bibliographic Details
Main Authors: Jeongwon Ho, Kyung Kiu Kim, Seoktae Koh, Hyun Seok Yang
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP11(2023)050
_version_ 1827277430143844352
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
record_format Article
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