https://doi.org/10.1140/epjc/s10052-024-13540-9
Letter
Hawking radiation at the zero temperature limit
Faculty of Engineering and Natural Sciences, İstanbul Okan University, Tuzla, 34959, Istanbul, Turkey
Received:
22
September
2024
Accepted:
25
October
2024
Published online:
18
November
2024
We show that the thermal radiation derived by Hawking can be smoothly extended to the 
limit for Kerr black holes. The emission of the modes with 
comes to a halt as the surface gravity vanishes. However, Kerr black holes smoothly continue to radiate both in bosonic and fermionic modes with 
, at the limit. We derive explicit expressions for the absorption probabilities which imply that the highest rate of emission pertains to the modes with 
, both for bosonic and fermionic cases. At the zero limit of thermal radiation, the number of emitted particles vanishes as 
, which strictly differentiates it from the non-thermal radiation of soft particles by extremal Kerr black holes. We also note that the thermal radiation at the zero limit, drives the black hole away from extremality in accord with the third law and the cosmic censorship conjecture.
© The Author(s) 2024
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