It will add mass to the black hole though, right? So that will affect orbits, no? Or is that just so infinitesimally small that it can reasonably be ignored?
Suppose there is a force F between masses M and m, separated by a distance r of the form F = Mmf(r) such that any spherically symmetric body affects external bodies as if its mass were concentrated at its centre. Then what form can the function f take?
The form of f allows Newtonian gravity but not Einsteinian.
[1] http://en.wikipedia.org/wiki/Shell_theorem#Converses_and_gen...
It's ironic when a piece of writing tries to present you with factual information begins with a deceiving title, all in the name of attention grabbing.