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Introduction

Recent X-ray observations of many active galactic nuclei (AGN) have found the K tex2html_wrap_inline526 emission line of cold iron (at 6.40keV), and show this line to be broadened and skewed towards low-energies (Mushotzky et al. 1995; Tanaka et al. 1995; Nandra et al. 1997). The line profile is usually found to be in good agreement with that expected if it were to originate from the inner regions of an accretion disk around a black hole, with gravitational redshifts and (relativistic) Doppler shifts being the processes relevant to shaping this profile. In the cases with the best data, many alternative mechanisms for forming a such a line can be examined and rejected (Fabian et al. 1995).

The iron line is believed to be a fluorescent line which results when Thomson-thick material, with a relatively low ionization state, is externally illuminated by a hard X-ray source (Basko 1978; George & Fabian 1991; Matt, Perola & Piro 1991). In the case of accreting black hole systems, the optically-thick material can be identified with a thin accretion disk whereas the external X-ray source is probably a disk-corona. The equivalent width (EW), W, of the iron line can be predicted given the source geometry, illuminating X-ray spectrum, and chemical abundances. In the `standard' case where the cold material possesses Morrison & McCammon (1983) cosmic abundances and subtends tex2html_wrap_inline542 sr at the X-ray source (which is assumed to have an AGN-like spectrum), the EW is tex2html_wrap_inline544 . For a more recent set of cosmic abundances (Anders & Grevesse 1993), this EW increases slightly to tex2html_wrap_inline546 (Reynolds, Fabian & Inoue 1995; Matt, Fabian & Reynolds 1997), primarily due to the increased abundance of iron.

Observationally, many iron lines are significantly stronger than the predictions of the previous paragraph. Although the mean EW in the sample of Nandra et al. (1997) is only slightly in excess of tex2html_wrap_inline548 , tex2html_wrap_inline550 , there are many objects in this sample with very strong lines, tex2html_wrap_inline552 . Several possible explanations for the strength of these lines have been previously discussed. First, the iron may be over-abundant (George & Fabian 1991; Reynolds, Fabian & Inoue 1995). However, the EW grows only logarithmically with iron abundance due to the fact that iron itself contributes to its own K tex2html_wrap_inline526 line opacity through L-shell photoelectric absorption. Thus, extreme iron overabundances ( tex2html_wrap_inline556 or more) are required to explain the strongest lines. Secondly, the geometry might be such that the cold material subtends more than tex2html_wrap_inline542 sr at the X-ray source. This geometry is difficult to reconcile with a disk/corona model. Thirdly, gravitational focusing of X-ray flux from a source which is at some height above the disk plane can enhance the EW of the line (Martocchia & Matt 1996; Reynolds & Begelman 1997). However, these General Relativistic (GR) effects are only important for enhancing the emission from the innermost regions of the disk (radii tex2html_wrap_inline560 , where tex2html_wrap_inline562 is the Schwarzschild radius of the central black hole), which produce very redshifted line emission (with observed photon energies of tex2html_wrap_inline564 or less). Thus, whilst GR enhancement effects might be important for understanding the broadest line known, they cannot be relevant to strong iron lines from typical objects.

In this letter, we note that any relative motion between the X-ray source and the accretion disk will also affect (and usually enhance) the EW of the iron line through the effects of special relativistic (SR) aberration and Doppler shifts. Such relative disk/corona motion will naturally occur if the accretion disk and the corona are not rigidly coupled together. For example, some authors treat the disk-corona as an independent, slim accretion disk. Due to the subsequent sub-Keplerian motion of the corona, the disk and corona will be in relative motion at any given radius. However, the corona may well be tightly coupled to the accretion disk by magnetic fields (which will force the disk and corona to accrete together). Even in this circumstance, the SR effects discussed here may be important. Field & Rogers (1993; hereafter FR93) have argued that magnetic instabilities and reconnection events in a disk corona could produce shock waves and/or the streaming of relativistic particles along the magnetic field lines. Thus, the plasma which is instantaneously responsible for the X-ray emission might well be in bulk motion relative to the disk. Such arguments gain qualitative support by drawing an analogy with the solar corona and solar flares.

For convenience, we set the speed of light to unity, c=1, throughout this work.


next up previous
Next: A stationary slab illuminated Up: Special relativistic effects on Previous: Special relativistic effects on

Chris Reynolds
Wed Jun 25 19:56:55 MDT 1997