  We study properties of a single-component (spin polarized) degenerate dipolar
Fermi gas of 161Dy atoms using a hydrodynamic description. Under
axially-symmetric trapping we suggest reduced one- (1D) and two-dimensional
(2D) description of the same for cigar and disk shapes, respectively. In
addition to a complete numerical solution of the hydrodynamic model we also
consider a variational approximation of the same. For a trapped system under
appropriate conditions, the variational approximation as well as the reduced 1D
and 2D models are found to yield results for shape, size and chemical potential
of the system in agreement with the full numerical solution of the
three-dimensional (3D) model. For the uniform system we consider anisotropic
sound propagation in 3D. An analytical result for anisotropic sound propagation
in uniform dipolar degenerate Fermi gas is found to be in agreement with
results of numerical simulation in 3D.
