我們在近極端 Nariai 黑洞(近視界幾何為 de Sitter時空)中求解帶電費米子的狄拉克方程。與玻色子不同,費米子放射受到泡利阻礙限制,且不出現超輻射放大。利用對偶關係,我們亦分析 anti de Sitter 時空中的 Schwinger 產生,並比較費米子與玻色子的情形。
We solve the Dirac equation for charged fermions in near-extremal Nariai black holes with de Sitter (dS) geometry. Unlike bosons, fermion emission is Pauli-blocked and shows no superradiant amplification. Using a reciprocal relation, we also analyze Schwinger emission in anti-de Sitter (AdS) and compare fermionic and bosonic cases.
Comparison of the emission of fermions and scalars in near-extremal Nariai black holes. Dotted lines for scalars and solid lines for fermions.