Abstract
We show that the Dirac equation is separable in the circularly symmetric metric in three dimensions and when the background spacetime is de Sitter we find exact solutions to the radial equations. Using these results we show that the de Sitter horizon has a cross section equal to zero for the massless Dirac field, as in the case of the scalar field. Also, using the improved brick wall model we calculate the fermionic entropy associated with the de Sitter horizon and we compare it with some results previously published.
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López-Ortega, A. Dirac Fields in 3D de Sitter Spacetime. General Relativity and Gravitation 36, 1299–1319 (2004). https://doi.org/10.1023/B:GERG.0000022389.05399.6d
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DOI: https://doi.org/10.1023/B:GERG.0000022389.05399.6d