A note on Hawking radiation via complex path analysis
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Publication:3058010
DOI10.1088/0264-9381/27/20/205013zbMATH Open1202.83062arXiv0911.4574OpenAlexW2070003261MaRDI QIDQ3058010
Author name not available (Why is that?)
Publication date: 18 November 2010
Published in: (Search for Journal in Brave)
Abstract: As long as we neglect backreaction, the Hawking temperature of a given black hole would not depend upon the parameters of the particle species we are considering. In the semiclassical complex path analysis approach of Hawking radiation, this has been verified by taking scalar and Dirac spinors separately for different stationary spacetime metrics. Here we show, in a coordinate independent way that, for an arbitrary spacetime with any number of dimensions, the equations of motion for a Dirac spinor, a vector, spin- and spin- fields reduce to Klein-Gordon equations in the WKB semiclassical limit. We then obtain, under some suitable assumptions, the complex solutions of those resulting scalar equations across the Killing horizon of a stationary spacetime to get a coordinate independent expression for the emission probability identical for all particle species. Finally we consider some explicit examples to demonstrate the validity of that expression.
Full work available at URL: https://arxiv.org/abs/0911.4574
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