I could say your theory of gravity is irrelevent also due to the gravity pull. As you can see the map of the hollow earth. Outer shell, ground to space is how far? Inner gound to space is the same outside.
 
Unless you know how strong and far the gravity streaches. 

From the theory states, the center fill with rich oxygen and zero gravity zone. Thats why the theory of water in space. 

P/S - the inner sun IS in the middle.