Time Evolution of Horizons

TL;DR

This paper introduces a method to derive Hawking radiation by defining a density matrix with coherent states in space-times featuring apparent horizons and analyzing its time evolution.

Contribution

It presents a novel approach to understanding Hawking radiation through the evolution of a density matrix constructed from coherent states.

Findings

Derivation of Hawking radiation from density matrix evolution.

Insight into quantum state behavior near apparent horizons.

Potential implications for black hole thermodynamics.

Abstract

A density matrix is defined using coherent states for space-times with apparent horizons. Evolving the density matrix in time gives the origin of Hawking radiation.