Energy conditions constraints on a class of f(R)-gravity

TL;DR

This paper investigates how energy conditions constrain a class of f(R) gravity models, applying cosmological parameters to derive bounds on model parameters within a metric formalism.

Contribution

It introduces bounds from energy conditions on a general f(R) functional form and applies them to a specific f(R) model using recent cosmological data.

Findings

Energy conditions impose significant bounds on f(R) model parameters.

The specific f(R)=√(R^2 - R_0^2) model is constrained by current cosmological parameters.

Results help refine viable f(R) gravity theories based on energy condition criteria.

Abstract

We present and discuss the bounds from the energy conditions on a general f(R) functional form in the framework of metric variational approach. As a concrete application of the energy conditions to locally homogeneous and isotropic f(R)-cosmology, the recent estimated values of the deceleration and jerk parameters are used to examine the bounds from the weak energy condition on the free parameter of the family of f(R)=\sqrt{R^2 - R_0^2} gravity theory.