# Rotating black string in dRGT massive gravity

## TL;DR

This paper derives a rotating black string solution in dRGT massive gravity, explores its horizon and thermodynamic properties, and finds conditions for Hawking-Page phase transition and stability related to graviton mass effects.

## Contribution

It introduces a generalized rotating black string solution in dRGT massive gravity, incorporating graviton mass effects into the structure and thermodynamics.

## Key findings

- Hawking-Page phase transition depends on graviton mass structure.
- Stable rotating black strings are larger than non-rotating ones.
- Horizon structures are characterized by the graviton mass terms.

## Abstract

One of the solutions of Einstein field equation with cylindrical symmetry is known as black string solution. In this work, the rotating black string solution in dRGT massive gravity is obtained and then called rotating-dRGT black string solution. This solution is a kind of generalized version of rotating AdS/dS black sting solution containing an additional two more terms characterizing the structure of graviton mass. The horizon structures of the black string are explored. The thermodynamical properties of the black string are investigated. We found that it is possible to obtain the Hawking-Page phase transition depending on the additional structure of the graviton mass, while it is not possible for rotating-AdS/dS black string. By analyzing the free energy, we also found that the stable rotating black string is bigger than the non-rotating one.