2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227239A quantum Schwarzschild spacetime and a quantum Schwarzschild-de Sitter spacetime with cosmological constant $Λ$ are constructed within the framework of a noncommutative Riemannian geometry developed in an earlier publication. The metrics and curvatures of the quantum Schwarzschild spacetime and the quantum Schwarzschild-de Sitter spacetime are computed. It is shown that up to the second order in the deformation parameter, the quantum spacetimes are solutions of a noncommutative Einstein equation which is proposed in this paper.14 pages, final version, to appear in Classical and Quantum GravityHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext