https://doi.org/10.1140/epjc/s10052-023-12302-3
Regular Article - Theoretical Physics
Hawking radiation under generalized uncertainty principle
1
Department of Physics and Center for Theoretical Physics, National Taiwan University, 10617, Taipei, Taiwan
2
Physics Division, National Center for Theoretical Sciences, 10617, Taipei, Taiwan
Received:
21
September
2023
Accepted:
26
November
2023
Published online:
11
December
2023
The generalized uncertainty relation is expected to be an essential element in a theory of quantum gravity. In this work, we examine its effect on the Hawking radiation of a Schwarzschild black hole formed from collapse by incorporating a minimal uncertainty length scale into the radial coordinate of the background. This is implemented in both the ingoing Vaidya coordinates and a family of freely falling coordinates. We find that, regardless of the choice of the coordinate system, Hawking radiation is turned off at around the scrambling time. Interestingly, this phenomenon occurs while the Hawking temperature remains largely unmodified.
© The Author(s) 2023
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