If a new president isn’t sworn in by Jan 20, Speaker Paul Ryan becomes president. Obama can’t just stay.
The new Congress convenes January 3rd. God willing, Lyin’ Ryan will be deposed, as he so well deserves.
No, Ryan doesn't. The President is the person who is elected by the people, and CERTIFIED by the Electoral College. The Obamas can be evicted from the White House on Inauguration Day, because LEGALLY, they can no longer occupy it.