UV Dispersive Effects on Hawking Radiation
arXiv:2307.12831 · doi:10.1103/PhysRevD.109.025001
Abstract
We revisit the connection between Hawking radiation and high-frequency dispersions for a Schwarzschild black hole following the work of Brout et al.. After confirming the robustness of Hawking radiation for monotonic dispersion relations, we consider non-monotonic dispersion relations that deviate from the standard relation only in the trans-Planckian domain. Contrary to the common belief that Hawking radiation is insensitive to UV physics, it turns out that Hawking radiation is subject to significant modifications after the scrambling time. Depending on the UV physics at the singularity, the amplitude of Hawking radiation could diminish after the scrambling time, while the Hawking temperature remains the same. Our finding is thus not contradictory to earlier works regarding the robustness of Hawking temperature.
arXiv comment24 pages, 8 figures; v2: minor changes, references added; v3: relation to Parikh-Wilczek tunneling clarified, factors of 2 corrected
References in corpus (24)
- Quantum Gravity at a Lifshitz Point
- Hawking Radiation as Tunneling
- Information in Black Hole Radiation
- Analogue Gravity
- Fast Scramblers
- Gravity with a dynamical preferred frame
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Hawking Spectrum and High Frequency Dispersion
- Hawking Radiation Without Transplanckian Frequencies
- Computing the spectrum of black hole radiation in the presence of high frequency dispersion: an analytical approach
- On the Universality of the Hawking Effect
- Black hole radiation with short distance dispersion, an analytical S-matrix approach
- Hawking radiation and secularly growing loop corrections
- Tunnelling Effect and Hawking Radiation from a Vaidya Black Hole
- Hawking radiation as seen by an infalling observer
- On the origin of the particles in black hole evaporation
- Generalization of the model of Hawking radiation with modified high frequency dispersion relation
- Mimimal Length Uncertainty Principle and the Transplanckian Problem of Black Hole Physics
- Impact of trans-Planckian excitations on black-hole radiation in dipolar condensates
- Hawking radiation with dispersion: The broadened horizon paradigm
- Ingoing Eddington-Finkelstein Metric of an Evaporating Black Hole
- Hawking radiation with dispersion versus breakdown of WKB
- Planckian Physics Comes Into Play At Planckian Distance From Horizon
- UV And IR Effects On Hawking Radiation