Heat the broiler to 500 degrees.
Crack the eggs and set aside. Prepare all other ingredients (chop garlic, chop arugula, crumble goat cheese).
In a 9 inch tart pan, add the butter and cream. Adjust the oven rack so the pan is 6 inches from the broiler and broil for 3 minutes.
Remove pan. Add the eggs and then evenly distribute the salt, garlic and goat cheese. Place back into the oven.
Broil for 4-5 minutes and remove (4 minute for a runny egg, 5 minutes to a cooked egg).
Top with arugula and hot sauce. Serve warm with crusty bread.