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.
Computing the spectrum of black hole radiation in the presence of high frequency dispersion: an analytical approach
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
We present a method for computing the spectrum of black hole radiation of a scalar field satisfying a wave equation with high frequency dispersion. The method involves a combination of Laplace transform and WKB techniques for finding approximate solutions to ordinary differential equations. The modified wave equation is obtained by adding a higher order derivative term suppressed by powers of a fundamental momentum scale $k_0$ to the ordinary wave equation. Depending on the sign of this new term, high frequency modes propagate either superluminally or subluminally. We show that the resulting spectrum of created particles is thermal at the Hawking temperature, and further that the out-state is a thermal state at the Hawking temperature, to leading order in $k_0$, for either modification.
citation-role summary
background 2
method 1
citation-polarity summary
verdicts
UNVERDICTED 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.