Timescale for trans-Planckian collisions in Kerr spacetime

We make a critical comparison between ultra-high-energy particle collisions around an extremal Kerr black hole and that around an over-spinning Kerr singularity, mainly focusing on the issue of the timescale of collisions. We show that the time required for two massive particles with the proton mass...

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Bibliographic Details
Published in:Europhysics letters 2015-05, Vol.110 (3), p.30004-p1-30004-p6
Main Authors: Patil, Mandar, Joshi, Pankaj S., Nakao, Ken-ichi, Kimura, Masashi, Harada, Tomohiro
Format: Article
Language:English
Subjects:
04.20.-q
04.20.Cv
04.20.Dw
Age
Black holes
Collisions
Particle collisions
Singularities
Time
Universe
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Summary:We make a critical comparison between ultra-high-energy particle collisions around an extremal Kerr black hole and that around an over-spinning Kerr singularity, mainly focusing on the issue of the timescale of collisions. We show that the time required for two massive particles with the proton mass or two massless particles of GeV energies to collide around the Kerr black hole with Planck energy is several orders of magnitude longer than the age of the Universe for astro-physically relevant masses of black holes, whereas time required in the over-spinning case is of the order of ten million years, which is much shorter than the age of the Universe. Thus, from the point of view of observation of Planck scale collisions, the over-spinning Kerr geometry, subject to their occurrence, has distinct advantage over their black-hole counterparts.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/110/30004