Hawking radiation under generalized uncertainty principle
Journal
The European Physical Journal C
Journal Volume
83
Journal Issue
12
Start Page
1118
ISSN
1434-6052
Date Issued
2023-12-11
Author(s)
Abstract
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.
Publisher
Springer Science and Business Media LLC
Type
journal article