  We employ the G-structure formalism to study supersymmetric solutions of
minimal and SU(2) gauged supergravities in seven dimensions admitting Killing
spinors with associated timelike Killing vector. The most general such Killing
spinor defines an SU(3) structure. We deduce necessary and sufficient
conditions for the existence of a timelike Killing spinor on the bosonic fields
of the theories, and find that such configurations generically preserve one out
of sixteen supersymmetries. Using our general supersymmetric ansatz we obtain
numerous new solutions, including squashed or deformed AdS solutions of the
gauged theory, and a large class of Godel-like solutions with closed timelike
curves.
