Relativistic viscous accretion flow model for ULX sources: A case study for IC 342 X-1

Abstract

In this letter, we develop a model formalism to study the structure of a relativistic, viscous, optically thin, advective accretion flow around a rotating black hole in presence of radiative coolings. We use this model to examine the physical parameters of the Ultra-luminous X-ray sources (ULXs), namely mass ($M_{\mathrm{BH}}$), spin ($a_{\mathrm{k}}$) and accretion rate ($\dot{m}$), respectively. While doing this, we adopt a recently developed effective potential to mimic the spacetime geometry around the rotating black holes. We solve the governing equations to obtain the shock induced global accretion solutions in terms of $\dot{m}$ and viscosity parameter ($\alpha$). Using shock properties, we compute the Quasi-periodic Oscillation (QPO) frequency (${\nu }_{\mathrm{QPO}}$) of the post-shock matter (equivalently post-shock corona, hereafter PSC) pragmatically, when the shock front exhibits Quasi-periodic variations. We also calculate the luminosity of the entire disc for these shock solutions. Employing our results, we find that the present formalism is potentially promising to account the observed ${\nu }_{\mathrm{QPO}}$ and bolometric luminosity ($L_{\mathrm{bol}}$) of a well studied ULX source IC 342 X-1. Our findings further imply that the central source of IC 342 X-1 seems to be rapidly rotating and accretes matter at super-Eddington accretion rate provided IC 342 X-1 harbors a massive stellar mass black hole ($M_{\mathrm{BH}}<100M_{\odot }$) as indicated by the previous studies.

6 pages, 4 figures, Accepted for publication in MNRAS

References in corpus (8)

• Super-critically accreting stellar-mass black holes as ultraluminous X-ray sources
• A spectral-timing model for ULXs in the super-critical regime
• Determination of mass of IGR J17091-3624 from "Spectro-Temporal" variations during onset-phase of the 2011 outburst
• AstroSat view of MAXI J1535-571: broadband spectro-temporal features
• Infrared Tip of the Red Giant Branch and Distances to the Maffei/IC 342 Group
• Shocks in relativistic viscous accretion flows around Kerr black holes
• Discovery of a Quasi-Periodic Oscillation in the Ultraluminous X-ray Source IC 342 X-1: XMM-Newton Results
• Super-Eddington accretion onto a stellar mass ultraluminous X-ray source NGC 4190 ULX1

Cited by in corpus (1)

• Truncated accretion discs in black hole X-ray binaries: dynamics and variability signatures