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Cosmological inflation in a generalized unimodular gravity

K. Nozari

Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran

Center for Excellence in Astronomy and Astrophysics (CEAAI-RIAAM), P. O. Box 55134-441, Maragha, Iran

E-mail Address: knozari@umz.ac.ir

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and

S. Shafizadeh

Department of Physics, Payame Noor University (PNU), P. O. Box 19395-3697, Tehran, Iran

E-mail Address: s.shafizadeh@tpnu.ac.ir

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https://doi.org/10.1142/S0218271817501073Cited by:2 (Source: Crossref)

Abstract

We study some aspects of cosmological inflation in the framework of unimodular $f (R)$ gravity. To be more clearer, we consider a generic $f (R)$ of the type $f (R) = R + α R^{n}$ . By considering the Einstein frame counterpart of the unimodular $f (R)$ gravity, we set the scalaron to be responsible for cosmological inflation in this setup. We confront our model parameters space with observational data and impose some constraints on the value of $n$ in this manner. We show that for the number of $e$ -folds $N = 60$ , the model is consistent with observation if $1.89 < n < 1.918$ .

Keywords:

PACS: 98.80.Cq, 98.80.Es, 04.50.Kd

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