Tunnelling of scalar and Dirac particles from squashed charged rotating Kaluza-Klein black holes

TL;DR

This paper investigates the thermal radiation emitted by scalar particles and Dirac fermions from squashed charged rotating five-dimensional black holes using tunnelling methods, revealing consistent temperature calculations for both particle types.

Contribution

It applies tunnelling methods to compute black hole temperature for scalar and fermionic particles in a five-dimensional squashed charged rotating black hole spacetime, showing their results coincide.

Findings

Radial actions for scalar and fermionic particles are nearly identical near the horizon.

The temperature derived from tunnelling is consistent for both particle types.

The method confirms the universality of Hawking radiation in this context.

Abstract

Thermal radiation of scalar particles and Dirac fermions from squashed charged rotating five-dimensional black holes is considered. To obtain temperature of the black holes we use the tunnelling method. In case of scalar particles we make use of the Hamilton-Jacobi equation. To consider tunnelling of fermions the Dirac equation was investigated. The examination shows that radial parts of the action for scalar particles and fermions in quasi-classical limit in the vicinity of horizon are almost the same and as a consequence it gives rise to the identical expressions for the temperature in both cases.