2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138606The Cauchy problem is considered for the scalar wave equation in the Schwarzschild geometry. Using an integral spectral representation we derive the exact decay rate for solutions of the Cauchy problem with spherical symmetric initial data, which is smooth and compactly supported outside the event horizon.34 pagesGeneral Relativity and Quantum Cosmologytext