Monodromy approach to pair production of charged black holes and electric fields

Chiang Mei Chen, Toshimasa Ishige, Sang Pyo Kim, Akitoshi Takayasu, Chun Yu Wei

研究成果: 雜誌貢獻期刊論文同行評審


To find the pair production, absorption cross section and quasi-normal modes in background fields, we advance the monodromy method that makes use of the regular singular points of wave equations. We find the mean number of pairs produced in background fields whose mode equations belong to the Riemann differential equation and apply the method to the three particular cases: (i) charges near the horizon of near-extremal black holes, (ii) charges with minimal energy under the static balance in nonextremal charged black holes, and (iii) charges in the Sauter-type electric fields. We then compare the results from the monodromy with those from the exact wave functions in terms of the hypergeometric functions with three regular singular points. The explicit elaboration of monodromy and the model calculations worked out here seem to reveal evidences that the monodromy may provide a practical technique to study the spontaneous pair production in general black holes and electromagnetic fields.

頁(從 - 到)255-268
期刊Chinese Journal of Physics
出版狀態已出版 - 12月 2023


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