Discussion on the Correlation between the Brightness Temperature of the Blazars and the Jet Energy of the Black Hole

The brightness temperature of blazars is extremely important for studying the properties of its black hole jet. In this paper, 53 blazars source samples are collected and calculated, including 21 BL Lac objects and 32 flat-spectrum radio quasars. The distribution of brightness temperature and jet energy of the black hole in this sample was studied, and the correlation between the brightness temperature and jet energy of the black hole in each subclass was discussed. The results show that: (1) The brightness temperature of BL Lac and FSRQs is significantly different from the distribution of jet energy of black holes, which may be related to the difference in the intrinsic properties of BL Lac and FSRQs. (2) The correlation between the brightness temperature of the BL Lac object and the jet energy of the black hole is strong. The brightness temperature can describe the jet energy of the black hole of the BL Lac object to a certain extent, and for the BL Lac with a larger brightness temperature, the energy carried by the jet is also greater. (3) Weak correlation exists between the brightness temperature of the FSRQs and the black hole jet energy and the brightness temperature in FSRQs cannot clearly describe the energy of black hole jet, it may be affected by other factors. (4) The correlation between the brightness temperature and the accretion rate of the black hole in the blazer is small.