Mr Gaetani, from Marche, was reportedly visiting London for a theatre festival at the Southbank Centre when he collapsed.
Carter, 51, who worked in Enfield and Haringey boroughs, was suspended from duty after the investigation began and dismissed from the force in August after 23 years service.
Judge Kalyani Kaul KC described Carter’s year career, and noted that he has raised two daughters and has a “strong” marriage with his wife.
She then told him: “On the 7th of September, two years ago, you threw all of that away.”
“Mr Gaetani was in the most vulnerable position any human being could be in – deceased and alone.
“Your crime, as I said in this case, was abhorrent. Mr Gaetani was in a very vulnerable position. You have let down your entire community.”
