  We study the existence and propagation of multidimensional dark
non-diffractive and non-dispersive spatiotemporal optical wave-packets in
nonlinear Kerr media. We report analytically and confirm numerically the
properties of spatiotemporal dark lines, X solitary waves and lump solutions of
the (2 + 1)D nonlinear Schrodinger equation (NLSE). Dark lines, X waves and
lumps represent holes of light on a continuous wave background. These solitary
waves are derived by exploiting the connection between the (2 + 1)D NLSE and a
well-known equation of hydrodynamics, namely the (2+1)D Kadomtsev-Petviashvili
(KP) equation. This finding opens a novel path for the excitation and control
of spatiotemporal optical solitary and rogue waves, of hydrodynamic nature.
