# Dynamical spacetimes in conformal gravity

## TL;DR

This paper explores new dynamical solutions in conformal gravity, including rotating and charged cosmological models, which are not present in Einstein or modified gravity theories, enhancing understanding of gravity's diverse behaviors.

## Contribution

The study introduces novel dynamical solutions in $W^2$-conformal gravity, such as rotating and charged FRW models, expanding the landscape of exact solutions beyond Einstein gravity.

## Key findings

- New rotating FRW solutions discovered
- Charged dynamical solutions identified
- Some solutions are unique to conformal gravity

## Abstract

The conformal gravity remarkably boosts our prehension of gravity theories. We find a series of dynamical solutions in the $W^2$-conformal gravity, including generalized Schwarzschild-Friedmann-Robertson-Walker (GSFRW), charged generalized Schwarzschild-Friedmann-Robertson-Walker (CGSFRW), especially rotating Friedmann-Robertson-Walker (RFRW), charged rotating Friedmann-Robertson-Walker (CRFRW), and a dynamical cylindrically symmetric solutions. The RFRW, CRFRW and the dynamical cylindrically symmetric solutions are never found in the Einstein gravity and modified gravities. The GSFRW and CGSFRW solutions take different forms from the corresponding solutions in the Einstein gravity.