Charged fermion pair production in near-extremal Nariai black holes saturates the Pauli blocking bound |β|² = 1 in the exact Nariai limit, in sharp contrast to the catastrophic emission of charged scalars.
Pair Production in Near Extremal Kerr-Newman Black Holes
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abstract
The spontaneous pair production of charged scalars in a near extremal Kerr-Newman (KN) black hole is analytically studied. It is shown that the existence condition for the pair production is equivalent to the violation of the Breitenlohner-Freedman bound in an AdS$_2$ space. The mean number of produced pairs in the extremal black hole has a thermal interpretation, in which the effective temperature for the Schwinger effect in the AdS$_2$ space persistently holds, while the mean number in the near extremal black hole has an additional factor of the Schwinger effect in the Rindler space. In addition, the holographic dual conformal field theory (CFT) descriptions of the charged scalar pair production are respectively realized both in the $J$ and $Q$ pictures in terms of the KN/CFTs correspondence.
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Saturation of Pauli blocking in near-extremal charged Nariai black holes
Charged fermion pair production in near-extremal Nariai black holes saturates the Pauli blocking bound |β|² = 1 in the exact Nariai limit, in sharp contrast to the catastrophic emission of charged scalars.