The cosmic snap parameter in f(R) gravity

TL;DR

This paper derives the cosmic snap parameter within f(R) gravity, using the Palatini approach, and predicts its current value for a specific model explaining cosmic acceleration.

Contribution

It introduces a derivation of the snap parameter in f(R) gravity using the Palatini formalism and provides predictions for a simple accelerating universe model.

Findings

Derived the expression for the snap parameter in f(R) gravity.

Predicted the present-day value of the snap parameter for the model f(R)=R-const/R.

Demonstrated the applicability of the Palatini approach in this context.

Abstract

We derive the expression for the snap parameter in f(R) gravity. We use the Palatini variational principle to obtain the field equations and regard the Einstein conformal frame as physical. We predict the present-day value of the snap parameter for the particular case f(R)=R-const/R, which is the simplest f(R) model explaining the current acceleration of the universe.