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## Main Question or Discussion Point

"Any amount of mass at all can in principle be made to form a black hole if you compress it to a high enough density."

What is the high enough density?

What is the high enough density?

- Thread starter klite
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"Any amount of mass at all can in principle be made to form a black hole if you compress it to a high enough density."

What is the high enough density?

What is the high enough density?

- #2

Nabeshin

Science Advisor

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Mathematically,

[tex]r_s=\frac{2Gm}{c^2}=r[/tex]

If you assume the object to be a uniform sphere, we can write its mass as the product of density and volume:

[tex]m=\rho V=\frac{4/3}\rho\pi r^3[/tex]

And substituting into the first equation,

[tex]r=\frac{2G(\frac{4/3}\rho\pi r^3){c^2} [/tex]

[tex]\rho=\frac{3}{8}\frac{c^2}{G\pi r^2}[/tex]

In a completely classical universe.

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