{"created":"2021-03-01T06:37:29.181586+00:00","id":29307,"links":{},"metadata":{"_buckets":{"deposit":"94670ab2-f245-4de1-8dbb-c325c7c1ecee"},"_deposit":{"id":"29307","owners":[],"pid":{"revision_id":0,"type":"depid","value":"29307"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00029307","sets":["336:695:696"]},"author_link":["95952","95953","95954","95955"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-10-25","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"8","bibliographicPageStart":"084056","bibliographicVolumeNumber":"100","bibliographic_titles":[{"bibliographic_title":"Physical Review D","bibliographic_titleLang":"en"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this work, we study nonsingular bounce cosmology in the context of the Lagrange multiplier generalized F(R) gravity theory of gravity. We specify our study by using a specific variant form of the well-known matter bounce cosmology, with scale factor a(t)=(a0t2+1)n, and we demonstrate that for n<1/2, the primordial curvature perturbations are generated deeply in the contraction era. Particularly, we show explicitly that the perturbation modes exit the horizon at a large negative time during the contraction era, which in turn makes the “low-curvature” regime, the era for which the calculations of observational indices related to the primordial power spectrum can be considered reliable. Using the reconstruction techniques for the Lagrange multiplier F(R) gravity, we construct the form of effective F(R) gravity that can realize such a cosmological evolution, and we determine the power spectrum of the primordial curvature perturbations. Accordingly, we calculate the spectral index of the primordial curvature perturbations and the tensor-to-scalar ratio, and we confront these with the latest observational data. We also address the issue of stability of the primordial metric perturbations, and to this end, we determine the form of F(R) which realizes the nonsingular cosmology for the whole range of cosmic time −∞