# Eruptive Massive Vector Particles of 5-Dimensional Kerr-G\"odel Spacetime

## TL;DR

This paper studies Hawking radiation of massive vector particles in a 5D Kerr-G"odel spacetime using tunneling methods, providing a way to compute the Hawking temperature for this complex spacetime.

## Contribution

It introduces a novel application of the WKB and Hamilton-Jacobi methods to derive Hawking radiation for massive spin-1 particles in 5D Kerr-G"odel spacetime.

## Key findings

- Derived the quantum tunneling rate of massive vector particles.
- Calculated the Hawking temperature for 5D Kerr-G"odel spacetime.
- Validated the tunneling approach for complex higher-dimensional spacetimes.

## Abstract

In this paper, we investigate Hawking radiation of massive spin-1 particles from 5-dimensional Kerr-G\"{o}del spacetime. By applying the WKB approximation and the Hamilton-Jacobi ansatz to the relativistic Proca equation, we obtain the quantum tunneling rate of the massive vector particles. Using the obtained tunneling rate, we show how one impeccably computes the Hawking temperature of the 5-dimensional Kerr-G\"{o}del spacetime.