Cosmological Inflation in a Generalized Unimodular Gravity

Abstract

We study some aspects of cosmological inflation in the framework of unimodular $f(R)$ gravity. To be more clarified, we consider a generic $f(R)$ of the type $f(R)=R+\alpha R^n$. By considering 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 $1.89<n<1.918$.

14 pages, 2 figures

References in corpus (15)

• Dynamics of dark energy
• Disappearing cosmological constant in f(R) gravity
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Conditions for the cosmological viability of f(R) dark energy models
• The Large Scale Structure of f(R) Gravity
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Constraining f(R) Gravity as a Scalar Tensor Theory
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Stability of Cosmological Solution in f(R) Models of Gravity
• Weak Lensing Probes of Modified Gravity
• Cosmological Constraints on f(R) Acceleration Models
• Lectures on the Cosmological Constant Problem
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Cosmology Based on f(R) Gravity Admits 1 eV Sterile Neutrinos
• The effect of modified gravity on weak lensing