# Dark Matter in logarithmic $F(R)$ gravity

## TL;DR

This paper explores a logarithmic $F(R)$ gravity model with quantum corrections, showing it can unify inflation, dark energy, and dark matter phenomena, and is consistent with current cosmological observations.

## Contribution

It introduces a logarithmic $F(R)$ gravity model with quantum corrections, demonstrating its potential to explain inflation, dark energy, and dark matter within a unified framework.

## Key findings

- Model is consistent with CMB fluctuation data
- Scalaron can act as dark matter candidate
- Wide parameter range fits current cosmological observations

## Abstract

The logarithmic $R^2$-corrected $F(R)$ gravity is investigated as a prototype model of modified gravity theories with quantum corrections. By using the auxiliary field method, the model is described by the general relativity with a scalaron field. The scalaron field can be identified as an inflaton at the primordial inflation era. It is also one of the dark matter candidates in the dark energy era. It is found that a wide range of the parameters is consistent with the current observations of CMB fluctuations, dark energy and dark matter.