If you are wanting to plot it in a Cartesian space then perhaps the best thing to do is to transform from your spherical coordinates (or polar in 2-d) using TransformedField as in:
TransformedField[ "Polar" -> "Cartesian", {1/r, 0}, {r, \[Theta]} -> {x, y}]
and if you want a plot using VectorField to only show only a plot out to a given radius rather than the whole x-y extent you could use RegionFunction to limit it.