Fundamental Plane of FSRQs from SDSS DR5 Quasar Catalogue

Abstract

In this work, we explore a sample of 362 flat-spectrum radio quasars (FSRQs) to investigate the jet formation. We find that the fundamental plane for our FSRQs can be expressed as \(L_{\rm 5~GHz}\propto M_{\rm bh}^{-0.19}L_{\rm 2~keV}^{1.08}\). We also find that the 5 GHz luminosities are tightly related to both black hole mass and Eddington ratio, which is established as \(L_{\rm 5~GHz}\propto M_{\rm bh}^{0.67}(L_{\rm bol}/ L_{\rm EDD})^{1.32}\).