Constraints on Cosmological Models from Quasars Calibrated with Type Ia Supernova by a Gaussian Process

Understand

In this paper, we use quasars calibrated from type Ia supernova (SN Ia) to constrain cosmological models.

• We consider three different X-ray luminosity ($L_{X}$) - ultraviolet luminosity ($L_{UV}$) relations of quasars, i.e., the standard $L_{X}$-$L_{UV}$ relation and two redshift-evolutionary relations (Type I and Type II) respectively constructed from copula and considering a redshift correction to the luminosity of quasars.
• Only in the case of the Type I relation, quasars can always provide effective constraints on the $\Lambda$CDM model.
• Furthermore, we show that, when the observational Hubble data (OHD) are added, the constraints on the absolute magnitude $M$ of SN Ia and the Hubble constant $H_0$ can be obtained.