Pat the ribeyes dry, season with salt and press the crushed peppercorns firmly onto both sides.
Heat the oil in a cast-iron skillet over medium-high heat until shimmering.
Sear the steaks untouched for 4 minutes, flip and cook for 3 to 6 minutes to the requested doneness; for minimum food-safety guidance, cook whole beef steaks to 145°F and rest 3 minutes.
Move the steaks to a plate and rest for 5 minutes while you reduce the heat to medium.
Add the butter and broth, scrape up the browned bits, and simmer for 2 minutes until reduced by half.
Stir in the cream and simmer for 1 to 2 minutes until the sauce lightly coats a spoon, then serve a small spoonful over each steak.