dehammer wrote:
"it would also be the same if we were falling into the center."

No it would not. Read a book.

jjw wrote:
"you should find the distant galaxies expanding along with the universe."

You should not any more than you should see expansion happening within a galaxy. The force creating the expansion is less significant over short distances than is the force of gravity.

That may change in the future if the reported acceleration proves to be as real as it seems.

DA Morgan