Abstract

We selected sources with a steep soft-X-ray-band spectrum with a photon index of $ >2.5$ ---measured by eROSITA on board the Spectrum-R\"ontgen-Gamma (SRG)--- from the eFEDS AGN catalogue as candidates of highly accreting supermassive black holes, and investigated their multi-wavelength properties. Among 601 bright AGN with 0.2-5 keV counts of greater than 100, 83 sources ($ 14$<!PCT!>) are classified as steep-spectrum sources. These sources have typical 0.5-2 keV luminosities of SX and the majority of them are found at redshifts below $z=1$. In comparison with sources with flatter spectra, these sources have, on average, a UV (or optical) to 2 keV luminosity ratio that is larger by $ 0.3$ dex and bluer optical-to-UV continuum emission. They also appear to be radio quiet based on the detection rate in the FIRST and VLASS surveys. Their host galaxies ---at least in the redshift range of $z=0.2$-0.8, where the AGN--galaxy decomposition results from the Subaru Hyper Suprime-Cam imaging are available--- tend to be late-type and have smaller stellar masses star sun $) than those of sources with flatter spectra. These properties are similar to those found in nearby narrow-line Seyfert 1 galaxies, in agreement with the picture that they are AGN with elevated accretion rates and are in the early growth phase of black hole and galaxy co-evolution. However, the steep-spectrum sources are not exclusively narrow-line Seyfert 1 galaxies; indeed many are broad-line Seyfert 1 galaxies, as found by a catalogue search. This suggests that these steep-spectrum sources may be black holes generally with high accretion rates but of a wide mass range, including a few objects emitting at $L_ SX of which black hole masses can be close to $10^9$ Msun.

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