2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36671The Einstein-Klein-Gordon field equations are solved in a inhomogeneous shear-free universe containing a material fluid, a self-interacting scalar field, a variable cosmological term, and a heat flux. A quintessence-dominated scenario arises with a power-law accelerated expansion compatible with the currently observed homogeneous universe.8 pages, LaTeX 2.09. To appear in Proceedings of ERE-99General Relativity and Quantum CosmologyQuintessence inhomogeneous cosmologytext