Yeah, that would be the work done by Thirring as referred to in the following excerpt from Max Born that I had previously posted.
"...Thus we may return to Ptolemy's point of view of a 'motionless earth'...One has to show that the transformed metric can be regarded as produced according to Einstein's field equations, by distant rotating masses. This has been done by Thirring. He calculated a field due to a rotating, hollow, thick-walled sphere and proved that inside the cavity it behaved as though there were centrifugal and other inertial forces usually attributed to absolute space. Thus from Einstein's point of view, Ptolemy and Corpenicus are equally right."
Born, Max. "Einstein's Theory of Relativity",Dover Publications,1962, pgs 344 & 345:
George Ellis confirms that geocentrism can only be excluded on philosophical grounds.
"People need to be aware that there is a range of models that could explain the observations,” Ellis argues. “For instance, I can construct you a spherically symmetrical universe with Earth at its center, and you cannot disprove it based on observations.” Ellis has published a paper on this. “You can only exclude it on philosophical grounds. In my view there is absolutely nothing wrong in that. What I want to bring into the open is the fact that we are using philosophical criteria in choosing our models. A lot of cosmology tries to hide that.”
Ellis, George, in Scientific American, "Thinking Globally, Acting Universally", October 1995
That is what you do.
He won’t accept it from nobodies like them; he’s appealing to the ultimate authority: He wants me to prove it ;o)