2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224928We analyze the stability of the Einstein static universe by considering homogeneous perturbations in the context of f(G) modified Gauss-Bonnet theories of gravity. By considering a generic form of f(G), the stability region of the Einstein static universe is parameterized by the linear equation of state parameter w=p/rho and the second derivative f"(G) of the Gauss-Bonnet term.5 pages, 1 figure; minor text changes, added references, improved figure; shortened version to comply with length restrictionsGeneral Relativity and Quantum CosmologyCosmology and Nongalactic Astrophysicstext