Self-similar accretion in thin disks around near-extremal black holes

Abstract

Near-maximally spinning black holes display conformal symmetry in their near-horizon region, which is therefore the locus of critical phenomena. In this paper, we revisit the Novikov-Thorne accretion thin disk model and find a new self-similar radiation-dominated solution in the extremely high spin regime. Motivated by the self-consistency of the model, we require that matter flows at the sound speed at the innermost stable circular orbit (ISCO). We observe that, when the disk pressure is dominated by radiation at the ISCO, which occurs for the best-fitting Novikov-Thorne model of GRS 1915+105, the Shakura-Sunyaev viscosity parameter can be expressed in terms of the spin, mass accretion rate and radiative efficiency. We quantitatively describe how the exact thin disk solution approaches the self-similar solution in the vicinity of the ISCO and for increasing spins.

13 pages, 6 figures; v2 matches published version in MNRAS; v3: typos fixed, results unchanged

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• Silhouettes of invisible black holes
• Towards a complete description of spectra and polarization of black hole accretion disks: albedo profiles and returning radiation
• Gravitational waves from plunges into Gargantua
• Spectral and polarization properties of reflected X-ray emission from black hole accretion discs
• Photon Emission from Circular Equatorial Kerr Orbiters
• Critical Emission from a High-Spin Black Hole
• Polarization Whorls from M87* at the Event Horizon Telescope
• Thin accretion disk around the distorted Schwarzschild black hole
• Spectral and polarization properties of reflected X-ray emission from black-hole accretion discs for a distant observer: the lamp-post model
• Spin and Quadrupole Couplings for High Spin Equatorial Intermediate Mass-ratio Coalescences
• Nonassociative black ellipsoids distorted by R-fluxes and four dimensional thin locally anisotropic accretion disks
• Force-free magnetosphere attractors for near-horizon extreme and near-extreme limits of Kerr black hole
• Signatures of particle collisions near extreme black holes
• Structure of the thin disk in the background of a distorted naked singularity versus a distorted static black hole