an artificial fission star

A K2+ civilization wants to build a fission star, a huge mass of fissile material which doesn't collapse due to the radiation emitted by its fission decay. I know there are reactors like the aqueous homogeneous reactor that are self regulating and even naturally occurring reactors exist, so why not a star?

So basically can I make a self sustaining, spherical, homogeneous fission reactor? I don't care how big it is, for how long does it shines, if it's solid, liquid, gas or plasma, it's also ok if it needs to contains other elements (moderator?) to exist. It's a K2+ so resources are not a problem!

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an artificial fission star

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