5 research outputs found
Circular solution of two unequal mass particles in post-Minkowski approximation
A Fokker action for post-Minkowski approximation with the first
post-Newtonian correction is introduced in our previous paper, and a solution
for the helically symmetric circular orbit is obtained. We present supplemental
results for the circular solution of two unequal mass point-particles. Circular
solutions for selected mass ratios are found numerically, and analytic formulas
in the extreme mass ratio limit are derived. The leading terms of the analytic
formulas agree with the first post-Newtonian formulas in this limit.Comment: 4 pages, 4 figures, 4/27/0
Black Holes at the IceCube Neutrino Telescope
If the fundamental Planck scale is about a TeV and the cosmic neutrino flux
is at the Waxman-Bahcall level, quantum black holes are created daily in the
Antarctic ice-cap. We re-examine the prospects for observing such black holes
with the IceCube neutrino-detection experiment. To this end, we first revise
the black hole production rate by incorporating the effects of inelasticty,
i.e., the energy radiated in gravitational waves by the multipole moments of
the incoming shock waves. After that we study in detail the process of Hawking
evaporation accounting for the black hole's large momentum in the lab system.
We derive the energy spectrum of the Planckian cloud which is swept forward
with a large, O (10^6), Lorentz factor. (It is noteworthy that the boosted
thermal spectrum is also relevant for the study of near-extremal supersymmetric
black holes, which could be copiously produced at the LHC.) In the
semiclassical regime, we estimate the average energy of the boosted particles
to be less than 20% the energy of the neutrino-progenitor. Armed with such a
constraint, we determine the discovery reach of IceCube by tagging on "soft"
(relative to what one would expect from charged current standard model
processes) muons escaping the electromagnetic shower bubble produced by the
black hole's light descendants. The statistically significant 5-sigma excess
extends up to a quantum gravity scale ~ 1.3 TeV.Comment: Matching version to be published in Phys. Rev.