Realizability of stationary spherically symmetric transonic accretion

Abstract

The spherically symmetric stationary transonic (Bondi) flow is considered a classic example of an accretion flow. This flow, however, is along a separatrix, which is usually not physically realizable. We demonstrate, using a pedagogical example, that it is the dynamics which selects the transonic flow.

4 pages in REVTeX with 2 figures. Typos have been corrected and some alterations have been made in the version published in Physical Review E

Cited by in corpus (26)

• General-relativistic hydrodynamics of non-perfect fluids: 3+1 conservative formulation and application to viscous black-hole accretion
• Hysteresis effects and diagnostics of the shock formation in low angular momentum axisymmetric accretion in the Kerr metric
• Critical properties and stability of stationary solutions in multi-transonic pseudo-Schwarzschild accretion
• Critical properties of spherically symmetric black hole accretion in Schwarzschild geometry
• The role of flow geometry in influencing the stability criteria for low angular momentum axisymmetric black hole accretion
• Viscosity in spherically symmetric accretion
• Evolution of transonicity in an accretion disc
• Axisymmetric black hole accretion in the Kerr metric as an autonomous dynamical system
• Linearized perturbation on stationary inflow solutions in an inviscid and thin accretion disc
• On Spin Dependence of Relativistic Acoustic Geometry
• Secular instability in quasi-viscous disc accretion
• Fractal features in accretion discs
• Critical properties of spherically symmetric accretion in a fractal medium
• Quasi-viscous accretion flow -- I: Equilibrium conditions and asymptotic behaviour
• Large scale properties in turbulent spherically symmetric accretion
• Dark Solar Wind
• Axially Symmetric Accretion of Fractal Medium onto Rotating Black Holes and the emergence of the Acoustic Manifold
• Implications of nonlinearity for spherically symmetric accretion
• Nonlinear variations in axisymmetric accretion
• Effect of matter geometry on low angular momentum black hole accretion in the Kerr metric
• Carter-Penrose diagrams for emergent spacetime in axisymmetrically accreting black hole systems
• An Analytical Study on the Multi-critical Behaviour and Related Bifurcation Phenomena for Relativistic Black Hole Accretion
• Acoustic horizons in nuclear fluids
• A Dynamical Systems Approach to an Inviscid and Thin Accretion Disc
• A Dynamical Systems Analysis of Axisymmetric Accretion in a Schwarzschild Black Hole
• Dissipation and acoustic tunnelling about the sonic horizon of Bondi accretion