Abstract
A sample of 111 Fermi blazars each with a well-established radio core
luminosity, broad-line luminosity, bolometric luminosity and black hole mass
has been compiled from the literatures.We present a significant correlation
between radio core and broad-line emission luminosities that supports a close
link between accretion processes and relativistic jets. Analysis reveals a
relationship of \$LogL\_BLR\sim(0.81\pm0.06)LogL\_R^C\$ which is
consistant with theoretical predicted coefficient and supports that blazar jets
are powered by energy extraction from a rapidly spinning Kerr black hole
through the magnetic field provided by the accretion disk. Through studying the
correlation between the intrinsic bolometric luminosity and the black hole
mass, we find a relationship of
\$LogL\_inL\_ødot=(0.95\pm0.26)LogMM\_ødot+(3.53\pm2.24)\$
which supports mass-luminosity relation for Fermi blazars derived in this work
is a powerlaw relation similar to that for main-sequence stars. Finally,
evolutionary sequence of blazars is discussed.
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