Evidence for a Link Between Fe K-alpha Emission Line Strength and QPO Phase in a Black Hole

In X-ray binaries, the frequencies revealed in X-ray quasi-periodic oscillations (QPOs) are often interpreted as characteristic frequencies in the inner accretion disk, though the exact oscillation mechanism is unknown at present. Broadened Fe K-alpha lines are also excellent diagnostics of the inner accretion flow, if their broadening is indeed due to inner disk reflection. Herein, we present two cases where the flux and equivalent width of the Fe K-alpha emission lines in spectra of the Galactic black hole GRS 1915+105 vary with the phase of strong 1 Hz and 2 Hz QPOs in the X-ray flux. These results provide strong evidence that both QPOs and the Fe-alpha lines originate in the inner disk. If the 1 Hz QPO is only a Keplerian orbital frequency, the QPO comes from a distance of 84 +/- 26 R_Schw from the black hole; the 2 Hz QPO implies a radius of 50 +/- 15 R_Schw. At these radii, relativistic shaping of a disk line is inevitable. Moreover, the link holds in radio-bright and radio-faint phases, signaling that in systems like GRS 1915+105, the Fe K-alpha line is a disk line and not a jet line as per SS 433. A particularly interesting possibility is that a stable warp in the inner disk, e.g. due to Lense-Thirring precession, may produce the observed QPOs and line modulations. More broadly, the FeK-QPO link provides an unprecedented mechanism for revealing the inner accretion flow and relativistic regime in accreting systems, in that it gives two measures of radius: for a given disk QPO model, the frequency translates into a specific radius, and relativistic line models yield radii directly.