Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-01-15
Phys.Rev. D54 (1996) 1568-1586
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, plain latex, 16 figures included using psfig
Scientific paper
10.1103/PhysRevD.54.1568
We study the spectrum of created particles in two-dimensional black hole geometries for a linear, hermitian scalar field satisfying a Lorentz non-invariant field equation with higher spatial derivative terms that are suppressed by powers of a fundamental momentum scale $k_0$. The preferred frame is the ``free-fall frame" of the black hole. This model is a variation of Unruh's sonic black hole analogy. We find that there are two qualitatively different types of particle production in this model: a thermal Hawking flux generated by ``mode conversion" at the black hole horizon, and a non-thermal spectrum generated via scattering off the background into negative free-fall frequency modes. This second process has nothing to do with black holes and does not occur for the ordinary wave equation because such modes do not propagate outside the horizon with positive Killing frequency. The horizon component of the radiation is astonishingly close to a perfect thermal spectrum: for the smoothest metric studied, with Hawking temperature $T_H\simeq0.0008k_0$, agreement is of order $(T_H/k_0)^3$ at frequency $\omega=T_H$, and agreement to order $T_H/k_0$ persists out to $\omega/T_H\simeq 45$ where the thermal number flux is $O(10^{-20}$). The flux from scattering dominates at large $\omega$ and becomes many orders of magnitude larger than the horizon component for metrics with a ``kink", i.e. a region of high curvature localized on a static worldline outside the horizon. This non-thermal flux amounts to roughly 10\% of the total luminosity for the kinkier metrics considered. The flux exhibits oscillations as a function of frequency which can be explained by interference between the various contributions to the flux.
Corley Steve
Jacobson Ted
No associations
LandOfFree
Hawking Spectrum and High Frequency Dispersion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Hawking Spectrum and High Frequency Dispersion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hawking Spectrum and High Frequency Dispersion will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-202446