Scalar Cosmological Perturbations in M-theory with Higher Derivative Corrections
High Energy Physics - Theory
2020-09-15 v4 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.1910.12483,
title = {Scalar Cosmological Perturbations in M-theory with Higher Derivative Corrections},
author = {Kazuho Hiraga and Yoshifumi Hyakutake},
journal= {arXiv preprint arXiv:1910.12483},
year = {2020}
}
Comments
26 pages, 4 figures, references added, typos corrected, appendices B and C added, a reference and an explanation added in appendix B