Extended Theories of Gravity and their Cosmological and Astrophysical Applications

TL;DR

This paper reviews extended theories of gravity in metric and Palatini formalisms, focusing on their applications in cosmology and astrophysics to address dark matter and dark energy puzzles.

Contribution

It provides a comprehensive overview of alternative gravity models and explores their potential to solve dark component mysteries in the universe.

Findings

Extended theories can explain cosmic acceleration without dark energy.

Modified gravity models offer viable alternatives to dark matter.

Applications include explaining galaxy rotation curves and cosmic expansion.

Abstract

We review Extended Theories of Gravity in metric and Palatini formalism pointing out their cosmological and astrophysical application. The aim is to propose an alternative approach to solve the puzzles connected to dark components.