# Hawking radiation of massive bosons via tunneling from black strings

## TL;DR

This paper investigates Hawking radiation of massive bosons from 4D and 5D black strings using tunneling formalism, deriving the Hamilton-Jacobi equation and calculating tunneling rates and temperatures.

## Contribution

It extends the tunneling formalism to massive bosons in black string backgrounds and compares results with scalar and fermion cases, showing consistency.

## Key findings

- Tunneling rates depend on black string spacetime properties
- Hawking temperatures are consistent across bosons, scalars, and fermions
- Results confirm the universality of Hawking radiation for different particle types

## Abstract

In the present paper, the Hawking radiation of massive bosons from 4-dimensional and 5-dimensional black strings are studied in quantum tunneling formalism. Firstly, we derive the Hamilton-Jacobi equation set via the Proca equation and WKB approximation. Then, the tunneling rates and Hawking temperature of the black strings are obtained. Our calculations show that the tunneling rates and Hawking temperatures are related to the properties of black strings' spacetime. When compare our results with those of scalars and fermions cases, it finds that they are the same.