The relativistic shift of spectral lines from black-hole accretion discs

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

We present a simple approximate analytical formulae describing relativistic shift of a spectral line, produced by a small bright spot on a thin accretion disc around a non-rotating black hole. For the redshift factor we employ similar approach as Zhang, X. H. and Bao, G. (1991), The rotation of accretion disks and the power spectra of X-ray 'flickering', Astronomy and Astrophysics, 246, pp. 21-31, improved in terms of Beloborodov, A. M. (2002), Gravitation Bending of Light Near Compact Objects, Astrophys. J., 586, pp. L85-L88 approximation for light bending and Pecháček, T., Dovčiak, M., Karas, V. and Matt, G. (2005), The relativistic shift of narrow spectral features from black-hole accretion discs, Astronomy and Astrophysics, 441, pp. 855-861 account for aberration effects. Approximation is used also for calculating light-travel time. Results are compared with an exact solution obtained by numerical integration of null geodesics.

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