Perfect fluid in Lagrangian formulation due to generalized three-form
  field
  A Lagrangian formulation of perfect fluid due to a noncanonical three-form
field is investigated. The thermodynamic quantities such as energy density,
pressure and the four velocity are obtained and then analyzed by comparing with
the k-essence scalar field. The nonrelativistic matter due to the generalized
three-form field with the equation of state parameter being zero is realized
while it might not be possible for the k-essence scalar field. We also found
that nonadiabatic pressure perturbations can be possibly generated. The fluid
dynamics of the perfect fluid due to the three-form field corresponds to the
system in which the number of particles is not conserved. We argue that it is
interesting to use this three-form field to represent the dark matter for the
classical interaction theory between dark matter and dark energy.
