Hawking Radiation and Entropy from Horizon Degrees of Freedom

TL;DR

This paper explores the thermodynamics of horizons by modeling horizon degrees of freedom with a Liouville action, deriving entropy via the Cardy formula, and demonstrating Hawking radiation through coupling to a scalar background.

Contribution

It introduces a dynamical description of horizon degrees of freedom using a Liouville action and links it to horizon entropy and Hawking radiation.

Findings

Horizon entropy calculated using the Cardy formula.

Hawking radiation produced by coupling to a scalar background.

Dynamical horizon degrees of freedom modeled with a Liouville action.

Abstract

We study the thermodynamic properties of horizons using the dynamical description of the gravitational degrees of freedom at a horizon found in a previous work. We use the action of the horizon degrees of freedom to posit an ansatz Liouville action in the near-horizon region, and calculate the horizon entropy using the Cardy formula. We also couple the gravitational degrees of freedom at the horizon to a classical scalar background, and show that Hawking radiation is produced.