Radio sources in the 6dFGS: local luminosity functions at 1.4 GHz for star-forming galaxies and radio-loud AGN

We have identified 7824 radio sources from the 1.4 GHz NRAO VLA Sky Survey (NVSS) with galaxies brighter than K = 12.75 mag in the Second Incremental Data Release of the 6 degree Field Galaxy Survey (6dFGS DR2). The resulting sample of redshifts and optical spectra for radio sources over an effective sky area of 7076 deg(2) (about 17 per cent of the celestial sphere) is the largest of its kind ever obtained. NVSS radio sources associated with galaxies in the 6dFGS span a redshift range 0.003 < z < 0.3 and have median (z) over tilde = 0.043. Through visual examination of 6dF spectra we have identified the dominant mechanism for radio emission from each galaxy. 60 per cent are fuelled by star formation and 40 per cent are fuelled by an active galactic nucleus (AGN) powered by a supermassive black hole. We have accurately determined the local radio luminosity function (RLF) at 1.4 GHz for both classes of radio source and have found it to agree well with other recent determinations. From the RLF of star-forming galaxies we derive a local star formation density of 0.022 +/- 0.001 M-circle dot yr(-1) Mpc(-3), in broad agreement with recent determinations at radio and other wavelengths. We have split the RLF of radio-loud AGNs into bins of absolute K-band magnitude (M-K) and compared this with the underlying K-band galaxy luminosity function of all 6dFGS galaxies to determine the bivariate radio-K-band luminosity function. We verify that radio-loud AGNs preferentially inhabit the brightest and hence most massive host galaxies and show that the fraction of all galaxies which host a radio-loud AGN scales as f(radio-loud) proportional to L-K(2.1) for f(radio-loud) < 0.3, indicative of a similarly strong scaling with black hole mass and stellar mass.