  Using the geodesic method and the perturbative approach, we study the
deflection of light by time-periodic spherically symmetric gravitational
fields. Assuming the weakness of the gravitational field, we derive general
formulas that determine the deflection angle in the leading order
approximation. The formulas are valid for both time-periodic and static
metrics. Using these results, we calculate the deflection angle of a light ray
passing through a spherically symmetric oscillating distribution of a
self-gravitating scalar field with a logarithmic potential. It turned out that
in this case the deflection angle does not depend on time in the leading order.
