Pair Production in Charged Black Holes Admitting Heun-to-Hypergeometric Reduction

博士 === 國立中央大學 === 物理學系 === 107 === The general solutions to Klein-Gordon equation in Reissner-Nordstrom black holes are confluent Heun function. However, in order to compute pair production in such system, turning the solution into hypergeometric function is more convenient and necessary due to our...

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Bibliographic Details
Main Authors: Ben Hsiao, 蕭彬
Other Authors: Chiang-Mei Chen
Format: Others
Language:en_US
Published: 2019
Online Access:http://ndltd.ncl.edu.tw/handle/e658r5
Description
Summary:博士 === 國立中央大學 === 物理學系 === 107 === The general solutions to Klein-Gordon equation in Reissner-Nordstrom black holes are confluent Heun function. However, in order to compute pair production in such system, turning the solution into hypergeometric function is more convenient and necessary due to our good understanding of hypergeometric function and lack of understanding of Heun function. In mathematics and physics literature, there are studies about Heun-to-hypergeometric reduction. In this thesis, we analyze the simplest reduction applied to pair production in RN background.