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  1. B100 理学部/理学研究科
  2. B100a 雑誌掲載論文
  3. 学術雑誌

Nonsingular bounce cosmology from Lagrange multiplier F(R) gravity

http://hdl.handle.net/2237/00031494
http://hdl.handle.net/2237/00031494
f47a8553-8f32-4df9-b69c-f28605f91ac6
名前 / ファイル ライセンス アクション
PhysRevD100_084056.pdf PhysRevD100_084056 (710.6 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2020-02-12
タイトル
タイトル Nonsingular bounce cosmology from Lagrange multiplier F(R) gravity
言語 en
著者 Nojiri, Shin’ichi

× Nojiri, Shin’ichi

WEKO 95952

en Nojiri, Shin’ichi

Search repository
Odintsov, S. D.

× Odintsov, S. D.

WEKO 95953

en Odintsov, S. D.

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Oikonomou, V. K.

× Oikonomou, V. K.

WEKO 95954

en Oikonomou, V. K.

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Paul, Tanmoy

× Paul, Tanmoy

WEKO 95955

en Paul, Tanmoy

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アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
権利
言語 en
権利情報 © 2019 American Physical Society
抄録
内容記述 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 −∞<t<∞, by solving the Friedmann equations without the “low-curvature” approximation. This study is performed numerically though, due to the high complexity of the resulting differential equations. By using this numerical solution, we show that the stability is achieved for the same range of values of the free parameters that guarantee the phenomenological viability of the model. We also investigate the energy conditions in the present context. The phenomenology of the no-singular bounce is also studied in the context of a standard F(R) gravity. We find that the results obtained in the Lagrange multiplier F(R) gravity model have differences in comparison to the standard F(R) gravity model, where the observable indices are not simultaneously compatible with the latest Planck results, and also the standard F(R) gravity model is plagued with instabilities of the perturbation. These facts clearly justify the importance of the Lagrange multiplier field in making the observational indices compatible with the Planck data and also in removing the instabilities of the metric perturbations. Thereby, the bounce with the aforementioned scale factor is adequately described by the Lagrange multiplier F(R) gravity, in comparison to the standard F(R) model.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 American Physical Society
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
DOI
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.1103/PhysRevD.100.084056
ISSN(print)
収録物識別子タイプ PISSN
収録物識別子 2470-0010
ISSN(Online)
収録物識別子タイプ EISSN
収録物識別子 2470-0029
書誌情報 en : Physical Review D

巻 100, 号 8, p. 084056, 発行日 2019-10-25
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