High-energy head-on collisions of particles and hoop conjecture

TL;DR

This paper analytically studies apparent horizon formation in high-energy particle collisions in multi-dimensional spacetime, providing insights into the hoop conjecture's applicability to such extreme gravitational events.

Contribution

It presents analytical solutions for apparent horizons before collision in multi-dimensional spacetime, advancing understanding of horizon formation in high-energy collisions.

Findings

Analytical apparent horizon solutions before collision

Insights into hoop conjecture in higher dimensions

Implications for black hole formation in particle collisions

Abstract

We investigate the apparent horizon formation for high-energy head-on collisions of particles in multi-dimensional spacetime. The apparent horizons formed before the instance of particle collision are obtained analytically. Using these solutions, we discuss the feature of the apparent horizon formation in the multi-dimensional spacetime from the viewpoint of the hoop conjecture.