The number of critical points in polytropic accretion onto black holes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Critical Point, Gas Flow, Polytropic Processes, Schwarzschild Metric, Differential Equations, Steady Flow

Scientific paper

Ray (1980) pointed out that for accretion of polytropic gas by a
Schwarzschild black hole, there exists a second critical point for 1
< γ < 5/3. Here it is shown that the second critical point
is not physically meaningful in that the temperature at that critical
point is negative.

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