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- Title
Generalization of instanton-induced inflation and dynamical compactification.
- Authors
Ho, Jeongwon; Kim, Kyung Kiu; Koh, Seoktae; Yang, Hyun Seok
- 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).
- Subjects
EINSTEIN, Albert, 1879-1955; YANG-Mills theory; INSTANTONS; HOMOGENEOUS spaces; EINSTEIN manifolds; GENERALIZATION; PRICE inflation; CURVATURE
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 11, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP11(2023)050