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arXiv · 1701.08063

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

Joás Venâncio·Carlos Batista
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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 $\mathbb{R}\times \mathbb{S}^2 \times \cdots \times \mathbb{S}^2$.

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Joás Venâncio, Carlos Batista. 2017-01-27. Integrability of the Dirac Equation on Backgrounds that are the Direct Product of Bidimensional Spaces. https://doi.org/10.1103/physrevd.95.084022

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