  We explore the critical properties of the recently discovered finite-time
dynamical phase transition in the non-equilibrium relaxation of Ising magnets.
The transition is characterized by a sudden switch in the relaxation dynamics
and it occurs at a sharp critical time. While previous works have focused
either on mean-field interactions or on investigating the properties of the
critical time, we analyze the critical fluctuations at the phase transition in
the nearest-neighbor Ising model on a square lattice using Monte Carlo
simulations. By means of a finite-size scaling analysis, we extract the
critical exponents for the transition. In two spatial dimensions, the exponents
are consistent with those of the two-dimensional Ising universality class.
