Volume 110, Number 3, May 2015
|Number of page(s)||6|
|Published online||21 May 2015|
Timescale for trans-Planckian collisions in Kerr spacetime
1 Inter University Center for Astronomy and Astrophysics - Post Bag 4, Ganeshkhind, Pune-411007, India
2 Department of Physics, Rikkyo University - Toshima-ku, Tokyo 171-8501 Japan
3 Tata Institute of Fundamental Research - Homi Bhabha Road, Mumbai 400005, India
4 Department of Mathematics and Physics, Graduate School of Science, Osaka City University Osaka 558-8585, Japan
5 DAMTP, Centre for Mathematical Sciences, University of Cambridge - Wilberforce Road, Cambridge CB3 0WA, UK
Received: 7 April 2015
Accepted: 5 May 2015
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.
PACS: 04.20.-q – Classical general relativity / 04.20.Cv – Fundamental problems and general formalism / 04.20.Dw – Singularities and cosmic censorship
© EPLA, 2015
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