Variability and Beaming of GeV Gamma-Ray-Loud Blazars

Astronomy and Astrophysics – Astronomy

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Black Holes, Blazars: General, Galaxies: Active, Galaxies: General, Gamma-Rays: Klein-Nishina Effects, Observations

Scientific paper

Considering the Klein-Nishina effects for high-energy γ-ray emissions, we derived a corrected form of the basic Elliot-Shapiro formula. Two new lower limits to the time scales of the variability expected from an accreting Schwarzschild black hole and Kerr black hole were derived, respectively. For a sample of 25GeV γ-ray-loud blazars known to have the shortest time scales of flux variability, tmin, we studied the corrected Elliot-Shapiro relations between tmin and the GeV γ-ray luminosities in both the high and low states, respectively. We observe that: (1) No sources have been observed to have GeV γ-ray luminosities in the low state above the corrected Eddington limit being produced by a Kerr black hole and a Schwarzschild black hole. (2) Only one source has been observed to have a luminosity in the high state above the corrected Eddington limit being produced by a Kerr black hole and a Schwarzschild bl ack hole, which is a new argument for not invoking relativistic beaming models for the present EGRET observational data alone. Our conclusion is that if one considers the Klein-Nishina effect, the evidence for beamed emission from the present gamma-ray data alone is weak. Obviously, our conclusion is consistent with that of Dermer and Gehrels (1995, ApJ, 447, 103), but it is a new independent evidence.

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