Absorption cross section of RN black hole
Sini R., V. C. Kuriakose

TL;DR
This paper investigates how charged scalar fields interact with Reissner-Nordström black holes, calculating the absorption cross section and Hawking temperature using WKB approximation, revealing an inverse square relationship.
Contribution
It introduces a reflection-based approach to compute the absorption cross section and Hawking temperature for RN black holes in charged scalar fields.
Findings
Absorption cross section inversely proportional to the square of Hawking temperature.
Hawking temperature and absorption cross section are explicitly calculated.
Reflection effects at the event horizon are considered in the analysis.
Abstract
The behavior of a charged scalar field in the RN black hole space time is studied using WKB approximation. In the present work it is assumed that matter waves can get reflected from the event horizon. Using this effect, the Hawking temperature and the absorption cross section for RN black hole placed in a charged scalar field are calculated. The absorption cross section is found to be inversely proportional to square of the Hawking temperature of the black hole.
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