Towards black hole scattering

TL;DR

This paper investigates the interactions between particles and black holes in three-dimensional Chern-Simons gravity, focusing on wavefunction projection, allowed space-times, and boundary condition effects on the spectrum.

Contribution

It introduces a framework for understanding particle-black hole interactions and the influence of boundary conditions in three-dimensional Chern-Simons gravity.

Findings

Wavefunction projection onto black hole backgrounds demonstrated

Boundary conditions significantly affect the spectrum of allowed space-times

Identification of how interactions modify particle behavior near black holes

Abstract

We study black holes in three-dimensional Chern-Simons gravity with a negative cosmological constant. In particular, we identify how the Chern-Simons interactions between a scattering particle and a black hole project the particle wavefunction onto a wavefunction in the black hole background. We also analyze the set of space-times that should be allowed in the theory and the way in which boundary conditions affect the spectrum of space-times.