Charged fermion tunneling from electrically and magnetically charged rotating black hole in de Sitter space

M M Stetsko

doi:10.1140/epjc/s10052-013-2682-5

Abstract

Thermal radiation of electrically charged fermions from a rotating black hole with electric and magnetic charges in de Sitter space is considered. The tunneling probabilities for outgoing and incoming particles are obtained and the Hawking temperature is calculated. The relation for the classical action for the particles in the black hole’s background is also found.

Highlights

Hawking radiation has attracted a lot of attention since it was proposed [1]
We considered charged fermion tunneling from the electrically and magnetically charged Kerr–Newman–de Sitter black hole
It was shown that to the case when the black hole carries only an electric charge, inclusion of an additional magnetic charge does not spoil the separability of the Dirac equation in the vicinity of the horizons

Summary

Introduction

Hawking radiation has attracted a lot of attention since it was proposed [1]. Different methods have been applied [2] to its study. We remark that in order to get the black hole’s temperature in [12], the polar angle θ was fixed in the near-horizon metric This was done for the following reason: if the coordinate θ is fixed the equations of motion can be integrated, especially in the null-geodesic approach. The relations for the temperature at the event horizon (28) and at the cosmological one take the same form as in the case of the black hole with only an electric charge [19]. It should be noted that the radii of the horizons depend on both the electric and the magnetic charge, so our formulas are consistent with the relations given in Ref. In contrast to the emission of particles at the event horizon, Hawking radiation at the cosmological horizon is caused by incoming particles whereas outgoing particles move along classically permitted

Action for the emitted particles

Conclusions