Question about two people falling into a black hole

Question

I’ve heard that IIRC if you have two people fall into a black hole such that they are just out of reach of each other, due to the way that geometry in the black hole works, they will forever stay out of reach for their entire fall, instead of getting close to each other. Is this correct?

Answer 1

If they are in free fall then yes due to tidal forces and the resulting spaghettification, but if they have rockets they can still accelerate towards each other, they can pick velocities between -c (effectively the fastest) and -∞ (effectively the slowest, in terms of proper time), see here where you can replace the photons with strong ultrarelativistic rockets.