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Horizon Formation in High-Energy Particles Collision
We investigate a classical formation of a trapped surface in 4-dimensional
flat space-time in a process of a non-head-on collision of two high-energy
particles which are treated as Aichelburg-Sexl shock waves. From the condition
of the horizon volume local maximality an equation for the trapped surface is
deduced. Using a known solution on the shocks we find a time-dependent solution
describing the trapped surface between the shocks. We analyze the horizon
appearance and evolution. Obtained results may describe qualitatively the
horizon formation in higher dimensional space-time.Comment: Latex2e, 8 pages, 6 figures, references adde