Spectrum of a relativistic accretion disk in active galactic nuclei

Astronomy and Astrophysics – Astronomy

Scientific paper

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Accretion Disks, Active Galactic Nuclei, Black Holes (Astronomy), Relativistic Velocity, X Ray Spectra, Astronomical Models, Compton Effect, Photons, Radiative Transfer, Ray Tracing, Stellar Mass Accretion

Scientific paper

We have calculated the spectrum of a relativistic accretion disk around a non-rotating black hole seen from a distant observer. Radiation-transfer equations were solved to obtain a spectral deformation due to the Compton scattering within the disk, and the ray-tracing method was adopted to calculate the trajectories of photons emerging from the surface of the disk. When a photon travels from deep inside the disk towards the surface, it becomes Compton up-scattered, producing a soft X-ray excess in the X-ray spectrum, as is observed in active galactic nuclei. We find that this tendency is enhanced by the general relativistic Doppler and gravitational lensing effects, whereas the emissivity of a relativistic disk around a non-rotating black hole is systematically lower than that of a Newtonian disk for the same mass-accretion rate. As a result, these two opposite effects are counteracted when the inclination angle is large, i is approximately 80 deg both relativistic and Newtonian disks produce similar spectra. Even when the inclination angle is small, i is approximately 0 deg, on the other hand, similar spectra can be produced, if the mass-flow rate in the relativistic model is taken to be by a factor of approximately 1.7 higher than that of the Newtonian model.

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