Black-hole production from ultrarelativistic collisions

作者：Rezzolla Luciano^*; Takami Kentaro

来源：Classical and Quantum Gravity, 2013, 30(1): 012001.

DOI：10.1088/0264-9381/30/1/012001

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 self-gravitating fluid objects to study the conditions of black-hole formation when the objects are boosted to ultrarelativistic speeds. Expanding on the 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 effective Lorentz factor a gamma %26gt; following a simple scaling of the type M-c similar to K a gamma %26gt;(-1.0), thus indicating that a black hole of infinitesimal mass is produced in the limit of a diverging Lorentz factor. Furthermore, because a scaling is present also in terms of the initial stellar compactness, we provide a condition for black-hole formation in the spirit of the hoop conjecture.

• 出版日期2013-1-7