On the stability of steady general-relativistic accretion and analogue black holes

Abstract

Investigation of general-relativistic spherically symmetric steady accretion of self-gravitating perfect fluid onto compact objects reveals the existence of two weakly accreting regimes. In the first (corresponding to the test fluid approximation) the mass of the central object is much larger than the mass of the accreting fluid; in the second the mass of the fluid dominates. The stability of the solutions belonging to the first regime has been proved by Moncrief. In this work we report the results of a series of numerical studies demonstrating stability of massive solutions, i.e., belonging to the second of the aforementioned regimes. It is also shown that a formal analogy between "sonic horizons" in the accretion picture and event horizons in general relativity is rather limited. The notion of a "sonic horizon" is only valid in a linear regime of small hydrodynamical perturbations. Strong perturbations can still escape from beneath the "sonic horizon."

A talk given at The Jubilee 40th Symposium an Mathematical Physics "Geometry & Quanta", Torun, June 25-28 2008. To be published in Reports on Mathematical Physics

References in corpus (5)

• Universality and backreaction in a general-relativistic accretion of steady fluids
• Background independence in a nutshell
• On the stability of self-gravitating accreting flows
• Pseudo-Schwarzschild Spherical Accretion as a Classical Black Hole Analogue
• Selfgravitation in a general-relativistic accretion of steady fluids

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• Acoustic geometry through perturbation of mass accretion rate - radial flow in static spacetimes
• Perturbation of mass accretion rate, associated acoustic geometry and stability analysis
• On Spin Dependence of Relativistic Acoustic Geometry
• Relativistic sonic geometry for isothermal accretion in the Schwarzschild metric
• Gravity as emergent phenomena for spherically symmetric black hole accretion of multi-component flow with relativistic equation of state
• Steady critical accretion onto black holes: selfgravity and sonic point characteristics