arXiv:gr-qc/0605131gr-qc
Black hole formation in the head-on collision of ultrarelativistic charges
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Abstract
We study black hole formation in the head-on collision of ultrarelativistic charges. The metric of charged particles is obtained by boosting the Reissner-Nordström spacetime to the speed of light. Using the slice at the instant of collision, we study formation of the apparent horizon (AH) and derive a condition indicating that a critical value of the electric charge is necessary for formation to take place. Evaluating this condition for characteristic values at the LHC, we find that the presence of charge decreases the black hole production rate in accelerators. We comment on possible limitations of our approach.
The idea of making the black hole membrane paradigm generally covariant and everywhere locally Lorentz invariant gives me a migraine. Dropping charges onto a superthin surface (and keeping it cold, we have to consider arbitrarily large SMBHs too) or having the superthin surface…
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