Suppose two black holes meet and coalesce into one larger
Suppose two black holes meet and “coalesce” into one larger black hole. If they each have the same mass M and Schwarzschild radius R,
(a) Express the single black hole’s Schwarzschild radius as a multiple of R.
(b) Express the average density of the single black hole in terms of the average density (ρ) of each of the original black holes.
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