Luciano Rezzolla, Kentaro Takami
Determining the conditions under which a black hole can be produced is a long-standing and fundamental problem in general relativity. We use numerical simulations of colliding selfgravitating fluid objects to study the conditions of black-hole formation when the objects are boosted to ultrarelativistic speeds. Expanding on previous work, we show that the collision is characterized by a type-I critical behaviour, with a black hole being produced for masses above a critical value, M_c, and a partially bound object for masses below the critical one. More importantly, we show for the first time that the critical mass varies with the initial average Lorentz factor <\gamma> following a simple scaling of the type M_c ~ K <\gamma>^{-1.18}, thus indicating that a black hole of infinitesimal mass is produced in the limit of a diverging Lorentz factor. Exploiting this scaling with <\gamma>, we take the risk of extrapolating our results by almost 60 orders of magnitude and conjecture that the energies attainable by particle accelerators such as the Large Hadron Collider, are not sufficient to produce micro black holes.
View original:
http://arxiv.org/abs/1209.6138
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