Vector perturbations of galaxy number counts
  We derive the contribution to relativistic galaxy number count fluctuations
from vector and tensor perturbations within linear perturbation theory. Our
result is consistent with the the relativistic corrections to number counts due
to scalar perturbation, where the Bardeen potentials are replaced with
line-of-sight projection of vector and tensor quantities. Since vector and
tensor perturbations do not lead to density fluctuations the standard density
term in the number counts is absent. We apply our results to vector
perturbations which are induced from scalar perturbations at second order and
give numerical estimates of their contributions to the power spectrum of
relativistic galaxy number counts.
