Variability spectra of orbiting blobs around a black hole

Astronomy and Astrophysics – Astronomy

Scientific paper

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Accretion Disks, Black Holes (Astronomy), Clumps, Power Spectra, Relativistic Effects, Variability, Active Galactic Nuclei, Astronomical Models, Density Distribution, Frequency Ranges, Optical Thickness

Scientific paper

Variability power spectra of the distribution of orbiting blobs in an optically thin disk around a black hole are investigated by a fully relativistic approach. Both the well-known alpha disks and beta disks are considered. The calculations also include the cases when the emitting matter is optically thin or optically thick. The resulting variability spectra are characterized by a power-law shape with flattening frequency at its lower end and a drop-off frequency at its higher end, both corresponding to the borders of blobs distribution in the disk. The frequencies are intrinsic to all sources with an inhomogeneous accretion disk around a black hole, independent of either the specific property of the disk or the nature of the blobs. The drop-off frequency could be an important clue in determining the mass of the central black hole if the distribution of the blobs extends to the last stable circular orbit around a black hole. It may also be taken as evidence for the relativistic rotation of accretion disks around the hole. The average slopes of the observed X-ray power spectra are distribution n(r) is proportional to rdelta with 0 is less than or = delta is less than or = 1. This may improve our understanding of fluctuations of accretion disks.

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