Sound Speed and the Pseudo-Newtonian Potential

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Abstract

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We propose a special-relativistic correction to the sound speed calculated from the Paczynski and Wiita (1980) pseudo-Newtonian potential, in order to avoid divergence to infinity at the Schwarzschild radius. Under this correction, the re-scaled sound speed approaches c/sqrt3 at the Schwarzschild radius; otherwise, it diverges there. Spherical flows onto a black hole are briefly discussed.

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