  Applying the perturbative approach to geodesic equations, we study motion of
the test particles in time-dependent spherically symmetric spacetimes created
by oscillating dark matter. Assuming the weakness of the gravitational field,
we derive general formulas that describe infinite trajectories of the test
particles and determine the total deflection angle in the leading order
approximation. The obtained formulas are valid for both time-dependent and
static matter configurations. Using these results, we calculate the deflection
angle of a test particle passing through a spherically symmetric oscillating
distribution of a self-gravitating scalar field with a logarithmic potential.
It turned out that, in a wide range of amplitudes, oscillations in the
deflection angle are sinusoidal and become small for ultrarelativistic
particles.
