How feasible would be smallish (1km radius) space station / artifical planet with something dense in the middle for gravity and energy

I was wondering about feasibility of small 'shell' world build around something very dense, like black hole or some 'artificial mini star' that could also be source of energy, and of course gave us gravity of around 1 g at 1km radius.

If my math is right, we would basically need something of mass around 1.50E+17kg, collapse it into something less than 1km radius, make it stable, and build around it.

$a = 10\frac{m}{s^2},$ (just to simplify)

$r = 1000m,$

$M = \frac{a * r^2}{G} = 1.5 * 10^{17} kg$

With something like this, gravity at 1010m from the center would be: $a = \frac{M*G}{r^2} = 9.8\frac{m}{s^2}$ so tidal forces shouldn't be a problem

EDIT: removed some fluff, added some math

posted over 6 years ago

Raksha Cat‭

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