The fundamental plane of blazars based on the black hole spin-mass energy
arxiv(2024)
摘要
We examine the fundamental plane of 91 Blazars which include FSRQs and BL
Lacs with known X-ray luminosity (L_R), radio luminosity (L_X), and black
hole mass measurements (M) to reflect the relationship between jet and
accretion for blazars. The fundamental plane of Blazars are
logL_R=0.273_+0.059^-0.059logL_X+0.695_+0.191^-0.191logM+25.457_+2.728^-2.728
and
logL_R=0.190_+0.049^-0.049logL_X+0.475_+0.157^-0.157logM+28.568_+2.245^-2.245
after considering the effect of beam factor. Our results suggest that the jet
of blazars has connection with accretion. We set the black hole spin energy as
a new variable to correct the black hole mass and explore the effect of black
hole spin on the fundamental relationship. We find that the fundamental plane
of Blazars is effected by the black hole spin, which is similar to the previous
work for AGNs. We additionally examine a new fundamental plane which is based
on the black hole spin-mass energy (M_spin). The new fundamental plane
(logL_R=0.332_+0.081^-0.081logL_X+0.502_+0.091^-0.091logM_spin+22.606_+3.346^-3.346
with R-Square=0.575) shows that M_spin has a better correlation coefficient
comparing to the M for fundamental plane of Blazars. These results support
that the black hole spin should be considered as a important factor for the
study of fundamental plane for Blazars. And these may further our understanding
of the Blandford-Znajek process in blazars.
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