In a high sided skillet over medium high heat, place burger patties in to sear. Let sear on each side for 3-4 minutes (the burger will let go of the pan when ready, don't force it).
When burgers are seared on each side, top them with cheese slices, then pour in water and quickly place tight-fitting lid over the pan. Bring heat down to medium and let cook for 5 minutes. Turn off heat and let residual heat finish cooking the burgers until desired doneness, about another 3 minutes for medium.