Radio/X‐Ray Luminosity Relation for Advection‐dominated Accretion: Implications for Emission‐Line Galaxies and the X‐Ray Background

Abstract

Recent studies of the cosmic X-ray background (XRB) have suggested the possible existence of a population of relatively faint sources with hard X-ray spectra; however, the emission mechanism remains unclear. If the hard X-ray emission is from the radiatively inefficient, advection-dominated accretion flows (ADAFs) around massive black holes in galactic nuclei, X-ray luminosity and radio luminosity satisfy the approximate relation L(sub R) approx. 7 x 10(exp 35)(upsilon/15 GHz)(sup 7/5(M/10(exp 7)solar mass)(L(sub X) ergs/s)(sup 1/10 ergs/s, where L(sub R) = (upsilon)L(sub upsilon) is the radio luminosity at frequency upsilon, M is the mass of the accreting black hole, and 10(exp 40) less than or equal to L(sub X) less than or equal to 10(exp 42) ergs/s is the 2-10 keV X-ray luminosity. These sources are characterized by inverted radio spectra I(sub upsilon) varies as upsilon(exp 2/5). For example, an ADAF X-ray source with luminosity L(sub X) approx. 10(exp 41) ergs/s has a nuclear radio luminosity of approx. 4 x 10(M/3 x 10(exp 7) solar mass) ergs/s at approx. 20 GHz, and if it is at a distance of approx. 10(M/3 x 10(exp 7) solar mass) Mpc, it would be detected as a approx. 1 mJy point radio source. High-frequency (approx. 20 GHz), high angular resolution radio observations provide an important test of the ADAF emission mechanism. Since L,, depends strongly on black hole mass and only weakly on X-ray luminosity, the successful measurement of nuclear radio emission could provide an estimate of black hole mass. Because the X-ray spectra produced by ADAFs are relatively hard, sources of this emission are natural candidates for contributing to the hard (greater than 2 keV) background.