# The evolution of gravitons in accelerating cosmologies: the case of extended gravity

## TL;DR

This paper examines how the evolution of cosmological gravitons is influenced by accelerating backgrounds in extended gravity theories like scalar-tensor and $f(R)$ gravity, highlighting potential observational signatures.

## Contribution

It demonstrates the impact of extended gravity models on graviton amplification and discusses how these effects could help distinguish between different cosmological theories.

## Key findings

- Graviton amplitude amplification varies in extended gravity models.
- Cosmological background influences graviton dynamics.
- Potential observational constraints on extended gravity effects.

## Abstract

We discuss the production and evolution of cosmological gravitons showing how the cosmological background affects their dynamics. Besides, the detection of cosmological gravitons could constitute an extremely important signature to discriminate among different cosmological models. Here we consider the cases of scalar-tensor gravity and $f(R)$ gravity where it is demonstrated the amplification of graviton amplitude changes if compared with General Relativity. Possible observational constraints are discussed.