  The Minkowski tensors (MTs) can be used to probe anisotropic signals in a
field, and are well suited for measuring the redshift space distortion (RSD)
signal in large scale structure catalogs. We consider how the linear RSD signal
can be extracted from a field without resorting to the plane parallel
approximation. A spherically redshift space distorted field is both anisotropic
and inhomogeneous. We derive expressions for the two point correlation
functions that elucidate the inhomogeneity, and then explain how the breakdown
of homogeneity impacts the volume and ensemble averages of the tensor Minkowski
functionals. We construct the ensemble average of these quantities in
curvilinear coordinates and show that the ensemble and volume averages can be
approximately equated, but this depends on our choice of definition of the
volume average of a tensor and the radial distance between the observer and
field. We then extract the tensor Minkowski functionals from spherically
redshift space distorted, Gaussian random fields and gravitationally evolved
dark matter density fields at $z=0$ to test if we can successfully measure the
Kaiser RSD signal. For the dark matter field we find a significant, $\sim 10\%$
anomalous signal in the MT component parallel to the line of sight that is
present even on large scales $R_{\rm G} \gtrsim 15 \, {\rm Mpc}$, in addition
to the Kaiser effect. This is due to the line of sight component of the MT
being significantly contaminated by the Finger of God effect, which can be
approximately modelled by an additional damping term in the cumulants.
