For even convex polynomially bounded dispersion relations, an effective horizon controls the outgoing modes so that Bogoliubov coefficients agree with the tunneling result and the emission spectrum deviates from exact thermality in a controlled way.
Hawking Radiation Without Transplanckian Frequencies
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
In a recent work, Unruh showed that Hawking radiation is unaffected by a truncation of free field theory at the Planck scale. His analysis was performed numerically and based on a hydrodynamical model. In this work, by analytical methods, the mathematical and physical origin of Unruh's result is revealed. An alternative truncation scheme which may be more appropriate for black hole physics is proposed and analyzed. In both schemes the thermal Hawking radiation remains unaffected even though transplanckian energies no longer appear. The universality of this result is explained by working in momentum space. In that representation, in the presence of a horizon, the d'Alembertian equation becomes a singular first order equation. In addition, the boundary conditions corresponding to vacuum before the black hole formed are that the in--modes contain positive momenta only. Both properties remain valid when the spectrum is truncated and they suffice to obtain Hawking radiation.
citation-role summary
background 3
citation-polarity summary
verdicts
UNVERDICTED 3roles
background 3representative citing papers
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
Noncommutative spacetime shifts the collapsing shell proportionally to outgoing Hawking mode momentum, invalidating standard robustness arguments and causing radiation to decay exponentially after scrambling for exponentially long black hole evaporation.
citing papers explorer
-
Hawking radiation with dispersion: reconciling the Bogoliubov and tunneling approaches
For even convex polynomially bounded dispersion relations, an effective horizon controls the outgoing modes so that Bogoliubov coefficients agree with the tunneling result and the emission spectrum deviates from exact thermality in a controlled way.
-
UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
-
Exponentially Long Evaporation of Noncommutative Black Hole
Noncommutative spacetime shifts the collapsing shell proportionally to outgoing Hawking mode momentum, invalidating standard robustness arguments and causing radiation to decay exponentially after scrambling for exponentially long black hole evaporation.