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The Schwarzchild radius is the radius to the event horizon, which increases with mass. The singularity (if it exists) has no size exactly- it's infinitely small and dense.
(This is just what GR equations say, we obviously don't and probably cannot ever know what's really beyond the event horizon. I would guess most physicists probably think you can't have infinities in physical quantities i.e. no singularity.)
I barely studied GR and certainly not white holes I'm afraid so not much help here. Dark matter is just matter that we can't currently detect so probably fair to assume it acts in the same way as everything else does. I had a read of the Wikipedia page on white holes and couldn't figure out whether or not mass/energy would pass straight through or get mashed. Probably safest to assume everything gets mashed with a singularity but you could instead go for the Einstein-Rosen bridge thing which (I think) doesn't have a singularity, just a nice smooth "tube" in spacetime connecting two bits together, as opposed to the infinite spike of a singularity.
Has it been written about? - not sure but I have an extremely vague memory of reading someone's idea (could be a book, comment, tweet, no idea) that Bad Guys created black holes so they could steal our matter because they didn't have any. Like after heat death or something.
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frankenbike
@Eseman
Hello folks. I’m writing a sci-fi story for a competition, and I have a couple of astrophysics/ simulation theory queries that I’m hoping someone here can help me with (x-post from the AQA thread).
In my story, black holes are akin to USB ports onto which information from our Universe is being drawn, for eventual removal. It’s my understanding that the size of a black hole can be measured or approximated with the aptly named Schwarzchild radius. Is this radius on the event horizon? Does the size of a black hole impact the size of the singularity? Is the density of the singularity infinitely dense? Regarding white holes, is dark matter also theoretically expelled or is the energy+mass mix reconfigured in the wormhole?
Simulation theory and sci-fi-wise, has this idea been written about?