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R. Turolla, S. Zane, L. Zampieri, L. Nobili, Dynamical Comptonization in spherical flows: black hole accretion and stellar winds, Monthly Notices of the Royal Astronomical Society, Volume 283, Issue 3, December 1996, Pages 881–891, https://doi.org/10.1093/mnras/283.3.881
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Abstract
The transport of photons in steady, spherical, scattering flows is investigated. The moment equations are solved analytically for accretion on to a Schwarzschild black hole, taking full account of relativistic effects. We show that the emergent radiation spectrum is a power law at high frequencies with a spectral index smaller (harder spectrum) than in the non-relativistic case. Radiative transfer in an expanding envelope is also analysed. We find that adiabatic expansion produces a drift of injected monochromatic photons towards lower frequencies and the formation of a power-law, low-energy tail with spectral index − 3.