# 2015 CAP Congress / Congrès de l'ACP 2015

13-19 June 2015
University of Alberta
America/Edmonton timezone
Welcome to the 2015 CAP Congress! / Bienvenue au congrès de l'ACP 2015!

## Gravity and dust in 2+1 dimensions

18 Jun 2015, 10:15
15m
CCIS L1-047 (University of Alberta)

### CCIS L1-047

#### University of Alberta

Oral (Non-Student) / orale (non-étudiant) Theoretical Physics / Physique théorique (DTP-DPT)

### Speaker

We study a pressureless dust coupled to gravity with an arbitrary cosmological constant $\Lambda$ in 2+1 dimensions. This theory has interesting classical solutions and yet remains simple enough to explore the non-perturbative quantization of gravitational degrees of freedom. On the classical side we find the Banados-Teitelboim-Zanelli black hole as a static solution when $\Lambda<0$, and for $\Lambda=0$ we find solutions with moving apparent horizons. We are able to quantize a sector of the classical solution space, and look in particular at the horizon operator which measures the location of apparent horizons. Notably, this operator is found to have a non-zero variance on coherent states, implying that apparent horizons are subject to quantum fluctuations.