Hawking Radiation Under Generalized Uncertainty Principle
arXiv:2309.01638 · doi:10.1140/epjc/s10052-023-12302-3
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.
23 pages, 1 figure; v2: references added; v3: published version with more references and added clarifications
References in corpus (16)
- Discreteness of Space from the Generalized Uncertainty Principle
- Quantum Gravity and Recovery of Information in Black Hole Evaporation
- Effects of quantum gravity on black holes
- Semiclassical corrections to black hole entropy and the generalized uncertainty principle
- Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
- Sensitivity of Hawking radiation to superluminal dispersion relations
- Extended GUP formulation and the role of momentum cut-off
- GUP modified Hawking Radiation and Transmission/Reflection Coefficients of Rotating Polytropic Black Hole
- Ghost-free modification of the Polyakov action and Hawking radiation
- A Critique on Some Aspects of GUP Effective Metric
- The generalized uncertainty principle effect in acoustic black holes
- Planckian Physics Comes Into Play At Planckian Distance From Horizon
- UV And IR Effects On Hawking Radiation
- Hawking radiation and entropy of a BTZ black hole with minimum length
- Hawking radiation and stability of the canonical acoustic black holes
- Modified metrics of acoustic black holes: A review