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本文给出了Kerr-Newman-De Sitter时空中的Dirac方程的退耦和分离变量,并在Kerr-Newman-De Sitter时空的视界附近通过适当的变换找到了静止质量不为零的Dirac方程的有物理意义的解,导出了Hawking热谱公式,从而解决了Dirac粒子在Kerr-Newman-De Sitter黑洞背景下的Hawking蒸发问题。In this work, we solved the decoupling problem of the Dirac equation with non-zero rest mass in a Kerr-Newman-De Sitter background. The physical solutions of the Dirac equation with non-zero rest mass are found outside the event horizon of Kerr-Newman-De Sitter space-time by a proper transformation. The Hawking thermal spectra formula is also dirived. The problem of the Hawking evaporation of Dirac particles in Kerr-Newman-De Sitter black hole background is thus solved.
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