  The static and dynamic properties of vortices in dipolar Bose-Einstein
condensates (dBECs) can be considerably modified relative to their nondipolar
counterparts by the anisotropic and long-ranged nature of the dipole-dipole
interaction. Working in a uniform dBEC, we analyze the structure of single
vortices and the dynamics of vortex pairs, investigating the deviations from
the nondipolar paradigm. For a straight vortex line, we find that the induced
dipolar interaction potential is axially anisotropic when the dipole moments
have a nonzero projection orthogonal to the vortex line. This results in a
corresponding elongation of the vortex core along this projection as well as an
anisotropic superfluid phase and enhanced compressibility in the vicinity of
the vortex core. Consequently, the trajectories of like-signed vortex pairs are
described by a family of elliptical and oval-like curves rather than the
familiar circular orbits. Similarly for opposite-signed vortex pairs their
translation speeds along the binormal are found to be dipole
interaction-dependent. We expect that these findings will shed light on the
underlying mechanisms of many-vortex phenomena in dBECs such as quantum
turbulence, vortex reconnections, and vortex lattices.
