[kjlwjjky] general relativistic accretion disks

solve (probably numerically) the Einstein field equations for a black hole with an accretion disk, when the mass-energy of the accretion disk is comparable to the mass-energy of the black hole.  (this is likely very difficult.)

the Schwarzschild metric and Kerr metric, typically used to model black holes, assume the region outside the black hole is empty.

previously.

also previously: do we need a Theory Of Everything to model black hole accretion disks?

do accretion disks of such high mass exist?  a stellar mass black hole quickly eating a star seems to suffice.

inspired by the question: if the early universe was extremely dense, why didn't it collapse into a black hole?  partial answer: you can't use the Schwarzschild metric on the early universe (or even the current universe) because the region outside any candidate volume for collapsing is not empty; in fact, the outside region is likely equally dense.