Scalar cosmological perturbations in M-theory with higher-derivative corrections
Author(s) -
Kazuho Hiraga,
Yoshifumi Hyakutake
Publication year - 2020
Publication title -
progress of theoretical and experimental physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 53
ISSN - 2050-3911
DOI - 10.1093/ptep/ptaa142
Subject(s) - physics , curvature , scalar curvature , scalar (mathematics) , mathematical physics , equations of motion , perturbation (astronomy) , spectral density , classical mechanics , cosmological perturbation theory , perturbation theory (quantum mechanics) , inflation (cosmology) , theoretical physics , quantum mechanics , geometry , statistics , mathematics
We investigate the inflationary expansion of the universe induced by higher curvature corrections in M-theory. The inflationary evolution of the geometry is discussed in ref.[1], thus we succeed to analyse metric perturbations around the background. Especially we focus on scalar perturbations and analyse linearized equations of motion for the scalar perturbations. By solving these equations explicitly, we evaluate the power spectrum of the curvature perturbation. Scalar spectrum index is estimated under some assumption, and we show that it becomes close to 1.
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