What does relativity's geocentric model look like?

I was asked a question on a YouTube forum about what the absolute Geocentric model of the universe looks like. I decided to turn the question around. Everyone seems quick and eager (CoolHardLogic, anyone?) to claim victory in debunking the geocentric reference frame. But hold on a second - relativity contains a geocentric reference frame. So if all the geocentric models put forth by absolute geocentrists can be debunked, then what exactly do the relativists think their own geocentric model is? Since they've got a geocentric reference frame, they MUST have their own geocentric model of the universe. So what does it look like? I explain EXACTLY what it looks like in the following two videos. And (spoilers ahead)surprise, surprise, it looks exactly like the most current geocentric models that the relativists have allegedly debunked. Brings to mind an image of Barney Fife shooting himself in the foot as he attempts to draw his pistol.