Cosmological inflation in a generalized unimodular gravity

摘要

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 + alpha 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.