2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36143The small or zero cosmological constant, $Λ$, probably results from a macroscopic cancellation mechanism of the zero-point energies. However, nearby horizon surfaces any macroscopic mechanism is expected to result in imperfect cancellations. A phenomenological description is given for the residual variable cosmological constant. In the static, spherically symmetric case it produces approximate black holes. The model describes the case of exponential decay by $\Box\lnΛ=-3a$, were $a$ is a positive constant.3 pages,latex,2 figures; corrected typos and existence proofGeneral Relativity and Quantum CosmologyAstrophysicstext