Non-uniqueness of transonic solution for accretion onto a Schwarzschild black hole

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Relativity, Schwarzschild Metric, Stellar Mass Accretion, Transonic Flow, Euler Equations Of Motion

Scientific paper

The correct general-relativistic equations are used to prove the bimodal character of accretion on a Schwarzschild black hole. The fact that the adiabatic transonic accretion of rotating matter onto a black hole has a nonunique, bimodal, solution has previously been demonstrated only in terms of an approximate Newtonian model. It is found that there may exist two accretions with the same specific angular momentum and specific enthalpy, but with different mass accretion rates: one is in the disklike accretion regime and the other is in the quasi-spherical accretion regime. Quantitatively, the difference between the mass accretion rates of the two regimes is systematically overestimated by the pseudo-Newtonian theory. It is shown that Paczynski's model of a black hole very accurately describes the properties of the flow which are relevant to the bimodal behavior.

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