In the next decade, new astrophysical instruments will deliver the first
large-scale maps of gravitational waves and radio sources. Therefore, it is
timely to investigate the possibility to combine them to provide new and
complementary ways to study the Universe. Using simulated catalogues
appropriate to the planned surveys, it is possible to predict measurements of
the cross-correlation between radio sources and GW maps and the effects of a
stochastic gravitational wave background on galaxy maps. Effects of GWs on the
large scale structure of the Universe can be used to investigate the nature of
the progenitors of merging BHs, the validity of Einstein's General Relativity,
models for dark energy, and detect a stochastic background of GW. The results
obtained show that the galaxy-GW cross-correlation can provide useful
information in the near future, while the detection of tensor perturbation
effects on the LSS will require instruments with capabilities beyond the
currently planned next generation of radio arrays. Nevertheless, any
information from the combination of galaxy surveys with GW maps will help
provide additional information for the newly born gravitational wave astronomy.Comment: 16 pages, 9 figures, 1 table; comments welcom
