I have a question about the hydrostatic equation for a star's central pressure. I know that the central pressure for a star is,(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\dfrac{dP}{dr} = \rho \dfrac{G M}{r^2}[/tex]

My question is: why does this blow up at [tex]r = 0[/tex]? Because of the singularity, I'm not sure how I can integrate the equation in order to obtain the total gravitational pressure on a star. Can anyone help? Thanks.

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# Central Pressure for a star

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