Generalized Shock Solutions for Hydrodynamic Black Hole Accretion

Abstract

For the first time, {\it all} available pseudo-Schwarzschild potentials are exhaustively used to investigate the possibility of shock formation in hydrodynamic, invicid, black hole accretion discs. It is shown that a significant region of parameter space spanned by important accretion parameters allows shock formation for flow in {\it all} potentials used in this work. This leads to the conclusion that the standing shocks are essential ingredients in accretion discs around non-rotating black holes in general. Using a complete general relativistic framework, equations governing multi-transonic black hole accretion and wind are also formulated and solved in the Schwarzschild metric. Shock solutions for accretion flow in various pseudo potentials are then compared with such general relativistic solutions to identify which potential is the best approximation of Schwarzschild space-time as far as the question of shock formation in black hole accretion discs is concerned.

34 pages. 7 black and white encapsulated post-script figures. Higher resolution Fig. 4 is available from http://www.astro.ucla.edu/~tapas/figure4.eps.gz Published in ApJ

References in corpus (7)

• Two Different Long-term Behaviors in Black-Hole Candidates: Evidence for Two Accretion Flows?
• Rayleigh-Taylor Instabilities in Young Supernova Remnants Undergoing Efficient Particle Acceleration
• Entropic-acoustic instability of shocked Bondi accretion I. What does perturbed Bondi accretion sound like ?
• Pseudo-Schwarzschild description of transonic spherical accretion onto compact objects
• Thermally Driven Outflows from Pair-Plasma Pressure Mediated Shock Surfaces around Schwarzschild Black Holes
• Why Canonical Disks Cannot Produce Advection Dominated Flows
• Accretion powered spherical wind in general relativity

Cited by in corpus (45)

• Multi-transonic Black Hole Accretion Discs with Isothermal Standing Shocks
• Black-Hole Accretion Disc as an Analogue Gravity Model
• Shocks in the relativistic transonic accretion with low angular momentum
• Acoustic horizons in axially symmetric relativistic accretion
• The pattern of accretion flow onto Sgr A*
• Oscillating shocks in the low angular momentum flows as a source of variability of accreting black holes
• Dependence of General Relativistic Accretion on Black Hole Spin
• 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
• Shock oscillation model for QPOs in stellar-mass and supermassive black holes
• Analogue Hawking Radiation from Astrophysical Black Hole Accretion
• The role of flow geometry in influencing the stability criteria for low angular momentum axisymmetric black hole accretion
• Radiative Shocks in Rotating Accretion Flows around Black Holes
• Evolution of transonicity in an accretion disc
• Axisymmetric black hole accretion in the Kerr metric as an autonomous dynamical system
• Pseudo-Schwarzschild Spherical Accretion as a Classical Black Hole Analogue
• Model dependence of the multi-transonic behavior, stability properties and corresponding acoustic geometry for accretion onto a spinning black hole
• QPO frequencies and mass-outflow rates in black hole powered galactic microquasars
• Modeling the time-resolved quasi-periodic oscillations in AGNs
• Perturbation of mass accretion rate, associated acoustic geometry and stability analysis
• On Spin Dependence of Relativistic Acoustic Geometry
• Fractal features in accretion discs
• Role of shocked accretion flows in regulating the QPO of galactic black hole candidates
• Secular instability in quasi-viscous disc accretion
• Relativistic sonic geometry for isothermal accretion in the Schwarzschild metric
• Quasi-viscous accretion flow -- I: Equilibrium conditions and asymptotic behaviour
• Accretion in a dynamical spacetime and spinning up of the black hole in the gamma ray burst central engine
• Black Hole spin dependence of general relativistic multi-transonic accretion close to the horizon
• Axially Symmetric Accretion of Fractal Medium onto Rotating Black Holes and the emergence of the Acoustic Manifold
• Acoustic geometry obtained through the perturbation of the Bernoulli's constant
• Linear perturbations of low angular momentum accretion flow in the Kerr metric and the corresponding emergent gravity phenomena
• Spherical Accretion in Nearby Weakly Active Galaxies
• Accretion induced black hole spin up revised by numerical GR MHD simulations
• Clumpy wind accretion in Cygnus X-1
• Influence of flow thickness on general relativistic low angular momentum accretion around spinning black holes
• Effect of matter geometry on low angular momentum black hole accretion in the Kerr metric
• Low angular momentum flow model of Sgr A* activity
• Nonlinear variations in axisymmetric accretion
• Effective sound speed in relativistic accretion discs around Schwarzschild black holes
• An Analytical Study on the Multi-critical Behaviour and Related Bifurcation Phenomena for Relativistic Black Hole Accretion
• Influence of matter geometry on shocked flows-I: Accretion in the Schwarzschild metric
• Gravity as emergent phenomena for spherically symmetric black hole accretion of multi-component flow with relativistic equation of state
• Multi-transonic spherical-type flows around massive black holes: galactic potential induced standing isothermal shocks
• Spherical accretion in the Schwarzschild spacetime in the Newtonian analogous construct
• Probing Penrose-type singularities in sonic black holes