  We present a microscopic study of quasiholes in bosonic fractional quantum
Hall (FQH) liquids at filling factor $\nu=1/2$ in the lowest Landau level with
anisotropic band mass tensors. We use the spatial density profile to
characterize the shape of a quasihole and analyze its anisotropy. We then
compare the quasihole's anisotropy with the intrinsic geometric metric of the
system that is extracted from the maximal overlap between the numerically
obtained quasihole ground state and a set of model wave functions of
anisotropic quasiholes. For a static system, we find that the quasihole's
anisotropy, similar to the intrinsic metric, grows with the anisotropy of the
band mass tensor. When the quasihole develops well, we observe a correspondence
between the anisotropy of the quasihole and the intrinsic metric of the
underlying anisotropic FQH state. We also drive the system out of equilibrium
by suddenly changing the band mass tensor. In this case, the shape of the
quasihole evolves with time and shows similar dynamics with the intrinsic
metric of the postquench state. The evolving frequency matches the energy of a
spin-$2$ quadrupole degree of freedom in the system. Our results suggest that
the density profile of a quasihole is a useful tool to estimate the intrinsic
metric and capture the dynamics of an FQH system.
