Stars - The formation of Red Giants

Size of the Sun now compared to how big it will expand to as a red giant. 
Credit: Wikipedia User:Mysid, User:Mrsanitazier.

Stars like our Sun run on hydrogen. When a star runs out of hydrogen, it is forced to burn other fuels. This switch triggers a change in the star. The core of the star collapses as the outer region expands and cools, creating a type of star known as a red giant.

We know that the angular momentum of the star must be conserved, so we also know that the core of the star that collapses must be spinning faster than the surface of the red giant. So far, though, our understanding of exactly how a star’s angular momentum changes as the star evolves is not especially good. more here