# Greybody factor for black string in dRGT massive gravity

## TL;DR

This paper investigates the greybody factor for black strings in dRGT massive gravity, showing how potential shape influences wave transmission and providing bounds relevant to quantum effects in modified gravity.

## Contribution

It provides the first analysis of greybody factors for black strings within dRGT massive gravity, highlighting the dependence on potential parameters and quantum effects.

## Key findings

- Greybody factor depends on potential shape and model parameters.
- Higher potential leads to lower bounds on wave transmission.
- Results align with quantum mechanics principles.

## Abstract

The greybody factor from the black string in the de Rham-Gabadadze-Tolley (dRGT) massive gravity theory is investigated in this study. The dRGT massive gravity theory is one of the modified gravity theories used in explaining the current acceleration in the expansion of the universe. By using cylindrical symmetry, black strings in dRGT massive gravity are shown to exist. When quantum effects are taken into account, black strings can emit thermal radiation called Hawking radiation. The Hawking radiation at spatial infinity differs from that at the source by the so-called greybody factor. In this paper, we examined the rigorous bounds on the greybody factors from the dRGT black strings. The results show that the greybody factor crucially depends on the shape of the potential characterized by model parameters. The results agree with ones in quantum mechanics, the higher the potential, the harder it is for the waves to penetrate and also lower the bound for the rigorous bounds.