# Crossing SNe Ia and BAO observational constraints with local ones in hybrid metric-Palatini gravity

## TL;DR

This paper investigates a hybrid gravity model combining metric and Palatini formalisms, analyzing its cosmological evolution and constraining its parameters using supernovae, BAO, and local data to assess its viability.

## Contribution

It introduces a specific $f( ilde{R}) \, \propto \, \tilde{R}^2$ model within hybrid metric-Palatini gravity and constrains it with multiple cosmological observations.

## Key findings

- Model compatible with supernovae and BAO data
- Constraints consistent with local gravity tests
- Provides a viable alternative to dark energy models

## Abstract

In this paper, we consider the recently proposed hybrid metric-Palatini gravitational theory, which consists of adding to the Einstein-Hilbert Lagrangian an $f(\mathcal{R})$ term constructed \`{a} la Palatini. Using the respective dynamically equivalent scalar-tensor representation, we explore the cosmological evolution of a specific model, given by $f(\mathcal{R}) \propto \mathcal{R}^2$, and obtain constraints on the free parameters by using different sources of cosmological data. The viability of the model is analysed by combining the conditions imposed by the Supernovae Ia and Baryonic Acoustic Oscillations data and the results are compared with the local constraints.