The iron $K_alpha$-line diagnostics of a rotational black hole metric.pdf

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The iron $K_alpha$-line diagnostics of a rotational black hole metric.pdf

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The iron $K_alpha$-line diagnostics of a rotational black hole metric

a r X i v : a s t r o - p h / 0 3 0 2 4 5 4 v 1 2 1 F e b 2 0 0 3 THE IRON Kα-LINE DIAGNOSTICS OF A ROTATIONAL BLACK HOLE METRIC ALEXANDER F. ZAKHAROV Institute of Theoretical and Experimental Physics, Moscow 117259, Russia; Astro Space Centre of Lebedev Physics Institute, Moscow, Russia, E-mail: zakharov@vitep1.itep.ru SERGE V. REPIN Space Research Institute, Moscow, 117810, Russia. E-mail: repin@mx.iki.rssi.ru The original idea to show the spacetime geometry using few geodesics was devel- oped by Johnson and Ruffini (1974). We used this idea to interpret the observa- tional data for rotating BH’s. We developed the imitation approach to simulate a propagation of radiation near BH’s. An important problem for this approach is the diagnostics of a black hole metric using X-ray observational data of the iron Kα-line. Observations of Seyfert galaxies in X-ray region reveal the broad emissi- ion lines in their spectra, which can arise in inner parts of accretion disks, where the effects of General Relativity (GR) must be counted. A spectrum of a solitary emission line (the Kα-line of iron, for example) of a hot spot in Kerr accretion disk is simulated, depending on the radial coordinate r and the angular momen- tum a = J/M of a black hole, under the assumption of an equatorial circular motion of a hot spot. Using results of numerical simulations it is shown that the characteristic two-peak line profile with the sharp edges arises at a large distance, (about r ≈ (3 ? 10)rg). The inner regions emit the line, which is observed with one maximum and extremely broad red wing. High accuracy future spectral ob- servations, being carried out, could detect the angular momentum a of the black hole. We analyzed the different parameters of problems on the observable shape of this line and discussed some possible kinds of these shapes. The total number of geodesics is about 109 (to simulate possible shapes of the Kα-line), so the number is great enough, especially in comparison w