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We consider the Dirac equation on the background of a Kerr-Newman-de Sitterblack hole. By performing variable separation, we show that there exists notime-periodic and normalizable solution of the Dirac equation. This conclusionholds true even in the extremal case. With respect to previously consideredcases, the novelty is represented by the presence, together with a black holeevent horizon, of a cosmological (non degenerate) event horizon, which is atthe root of the possibility to draw a conclusion on the aforementioned topic ina straightforward way even in the extremal case.

Absence of Normalizable Time-periodic Solutions for The Dirac Equation in Kerr-Newman-dS Black Hole Background