Stability of relativistic Bondi accretion in Schwarzschild-(anti-)de Sitter spacetimes

Abstract

In a recent paper we investigated stationary, relativistic Bondi-type accretion in Schwarzschild-(anti-)de Sitter spacetimes. Here we study their stability, using the method developed by Moncrief. The analysis applies to perturbations satisfying the potential flow condition. We prove that global isothermal flows in Schwarzschild-anti-de Sitter spacetimes are stable, assuming the test-fluid approximation. Isothermal flows in Schwarzschild-de Sitter geometries and polytropic flows in Schwarzschild-de Sitter and Schwarzschild-anti-de Sitter spacetimes can be stable, under suitable boundary conditions.

6 pages

References in corpus (4)

• Spherical steady accretion flows -- dependence on the cosmological constant, exact isothermal solutions and applications to cosmology
• Bondi accretion onto cosmological black holes
• On the stability of self-gravitating accreting flows
• Self-gravitating Klein-Gordon fields in asymptotically Anti-de-Sitter spacetimes

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