Critical formation of trapped surfaces in the collision of gravitational shock waves

Abstract

We study the formation of marginally trapped surfaces in the head-on collision of two shock waves both in anti-de Sitter and Minkowski space-time in various dimensions as a function of the spread of the energy density in transverse space. For D=4 and D=5 it is shown that there exists a critical value of this spread above which no solution to the trapped surface equation is found. In four dimensions the trapped surface at criticality has a finite size, whereas in five the critical size vanishes. In both cases we find scaling relations characterized by critical exponents. Finally, when D>5 there is always a solution to the trapped surface equation for any transverse spread.

arXiv comment16 pages

References in corpus (13)

• Classical Black Hole Production in High-Energy Collisions
• Critical phenomena in gravitational collapse
• Entropy production in collisions of gravitational shock waves and of heavy ions
• On the collision of two shock waves in AdS5
• Deep inelastic scattering at strong coupling from gauge/string duality : the saturation line
• Towards an S-matrix Description of Gravitational Collapse
• Black holes from high-energy beam--beam collisions
• Critical phenomena in gravitational collapse - Living Reviews
• Glauber - Gribov approach for DIS on nuclei in N=4 SYM
• Scaling Phenomena in Gravity from QCD
• Critical gravitational collapse: towards a holographic understanding of the Regge region
• Exploring an S-matrix for gravitational collapse II: a momentum space analysis
• Exploring an S-matrix for gravitational collapse

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