2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/194345The 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.7 pages, accepted for publication in Physical Review DGeneral Relativity and Quantum Cosmologytext