Tunneling Effect Near Weakly Isolated Horizon

TL;DR

This paper investigates the tunneling effect near weakly isolated horizons using semiclassical methods, confirming its existence across various spacetimes and reinforcing the thermodynamic interpretation of WIH.

Contribution

It applies null geodesic and Hamilton-Jacobi methods to weakly isolated horizons, demonstrating the tunneling effect and its thermodynamic significance.

Findings

Tunneling effect exists in a wide class of spacetimes with WIH

Semiclassical emission rate is recovered near WIH

Confirms the thermodynamic nature of WIH

Abstract

The tunneling effect near a weakly isolated horizon (WIH) has been studied. By applying the null geodesic method of Parikh and Wilczek and Hamilton-Jacibi method of Angheben et al. to a weakly isolated horizon, we recover the semiclassical emission rate in the tunneling process. We show that the tunneling effect exists in a wide class of spacetimes admitting weakly isolated horizons. The general thermodynamic nature of WIH is then confirmed.