Dynamics of Black Hole Formation in an Exactly Solvable Model

TL;DR

This paper models black hole formation in 2+1 dimensional Anti de Sitter gravity, providing an exactly solvable framework that reveals a universal Hamiltonian structure and evaluates the semiclassical amplitude for the process.

Contribution

It introduces an exactly solvable model for black hole formation, deriving a universal Hamiltonian and analyzing the semiclassical amplitude without suppression or enhancement.

Findings

Hamiltonian exhibits universal structure near horizon formation

Semiclassical amplitude shows no exponential suppression or enhancement

Critical distance determines horizon formation in the model

Abstract

We consider the process of black hole formation in particle collisions in the exactly solvable framework of 2+1 dimensional Anti de Sitter gravity. An effective Hamiltonian describing the near horizon dynamics of a head on collision is given. The Hamiltonian exhibits a universal structure, with a formation of a horizon at a critical distance. Based on it we evaluate the action for the process and discuss the semiclassical amplitude for black hole formation. The derived amplitude is seen to contain no exponential suppression or enhancement. Coments on the CFT description of the process are made.