Consider a particle that has fallen inside the event horizon of a black hole. You can show that(adsbygoogle = window.adsbygoogle || []).push({});

it must have a minimum radial velocity that scales as [tex] \frac{1}{\sqrt{r}} [/tex] for small r. Where, by radial velocity I mean [tex] \frac{dr}{d \tau} [/tex] and tau is the proper time. Doesn't this mean that as the particle approaches the singularity its speed surpasses c?

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# Speed of a particle inside an event horizon

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