Horizon Formation in High-Energy Particles Collision

TL;DR

This paper studies the formation and evolution of trapped surfaces during high-energy particle collisions in flat spacetime, providing a solution that describes horizon development and offering insights into higher-dimensional scenarios.

Contribution

It derives a new equation for trapped surfaces in non-head-on collisions and finds a time-dependent solution, advancing understanding of horizon formation in classical high-energy collisions.

Findings

Trapped surface formation is characterized by a local maximality condition.

A time-dependent solution describes the evolution of the trapped surface.

Results suggest qualitative features of horizon formation in higher dimensions.

Abstract

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.