Generalization of instanton-induced inflation and dynamical compactification

A bstract 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 manifold...

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Bibliographic Details
Published in:The journal of high energy physics 2023-11, Vol.2023 (11), p.50-28, Article 50
Main Authors: Ho, Jeongwon, Kim, Kyung Kiu, Koh, Seoktae, Yang, Hyun Seok
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Cosmological models
Curvature
Elementary Particles
Gravity
High energy physics
Instantons
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Science education
Solitons Monopoles and Instantons
Spacetime
String Theory
Universe
Yang-Mills theory
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Summary:A bstract 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).
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2023)050