Integrability of the Dirac Equation on Backgrounds that are the Direct Product of Bidimensional Spaces

Abstract

The field equation for a spin 1/2 massive charged particle propagating in spacetimes that are the direct product of 2-dimensional spaces is separated. Moreover, we use this result to attain the separability of the Dirac equation in some specific static black hole solutions whose horizons have topology $\mathbb{R}\times {\mathbb{S}}^2\times \cdots \times {\mathbb{S}}^2$.

12 pages

References in corpus (5)

• Robinson-Trautman spacetimes with an electromagnetic field in higher dimensions
• How should spin-weighted spherical functions be defined?
• Superradiance in the sky
• Magnetic black holes with higher-order curvature and gauge corrections in even dimensions
• Generalized Charged Nariai Solutions in Arbitrary Even Dimensions with Multiple Magnetic Charges

Cited by in corpus (4)

• Two-Component Spinorial Formalism using Quaternions for Six-dimensional Spacetimes
• Quasinormal Modes in Generalized Nariai Spacetimes
• Thermal Casimir effect for a Dirac field on flat space with a nontrivial circular boundary condition
• Finite temperature Casimir effect for a spinor field in cosmic dispiration spacetime