  An inhomogeneous fluid in accelerated motion is investigated. When the
velocity field $v(x)$ is not constant, the geometry viewed by a static observer
is curved, as if the observer were immersed in a gravitational field. A
velocity-dependent semiclassical gravitational potential is introduced, which
obeys an Yukawa-type equation, written in Cartesian coordinates. The timelike
and null geodesic equations are investigated. One finds that the fluid has zero
energy density corresponding to the perfect fluid part but nonzero anisotropic
energy density. The pressures will no longer depend on $\hbar$ for time
intervals $t>>1/m$, where $m$ is the field mass.
