Spin Polarization Effects in Micro Black Hole Evaporation

Abstract

We consider the evaporation of rotating micro black holes produced in highly energetic particle collisions, taking into account the polarization due to the coupling between the spin of the emitted particles and the angular momentum of the black hole. The effect of rotation shows up in the helicity dependent angular distribution significantly. By using this effect, there is a possibility to determine the axis of rotation for each black hole formed, suggesting a way to improve the statistics. Deviation from thermal spectrum is also a signature of rotation. This deviation is due to the fact that rapidly rotating holes have an effective temperature $T_{\mathrm{eff}}$ significantly higher than the Hawking temperature $T_H$. The deformation of the spectral shape becomes evident only for very rapidly rotating cases. We show that, since the spectrum follows a blackbody profile with an effective temperature, it is difficult to determine both the number of extra-dimensions and the rotation parameter from the energy spectrum alone. We argue that the helicity dependent angular distribution may provide a way to resolve this degeneracy. We illustrate the above results for the case of fermions.

5 pages, 12 figures. Various changes

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• The high-energy collision of two black holes
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• Rotating Black Holes at Future Colliders. III. Determination of Black Hole Evolution
• Black Holes at the LHC
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• Kermions: quantization of fermions on Kerr space-time
• Effective Temperatures and Radiation Spectra for a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
• Hawking Radiation from Higher-Dimensional Black Holes
• Angular profile of emission of non-zero spin fields from a higher-dimensional black hole
• Angular profile of Particle Emission from a Higher-dimensional Black Hole: Analytic Results