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The idea here is that the speed of sound in more dense object is more. for $e.g.$ $v_{Aluminium} = 6420 m/s$, $v_{water} = 1498 m/s$ and $v_{air}= 346 m/s$

As the density of medium goes on increasing the speed of sound in that medium increases. Black holes are very dense objects, then what can we say about the speed of sound in black hole

Qmechanic
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biswa prakash mishra
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1 Answers1

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In cosmology, the speed of sound is given by $c_s^2=dp/d\rho$ where $p$ is the pressure of the fluid and $\rho$ is the energy density of the fluid.

For a schwartzchild black hole, this suggests that the speed of sound everywhere except at the singularity would be zero (since a Schwartzchild black hole is nothing but a singularity and event horizon).

For a more exotic model of a black hole, or a black hole that does not contain a singularity inside it you would need to know the equation of state for the fluid (or whatever stuff there is) inside the event horizon.

Bob
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