Boil the lamb meat with 4 cups of water for about 30 minutes.
Remove the meat from the broth.
In a bowl mix together the eggs, yogurt, salt, pepper and flour with some of the broth.
Stir in the rice.
Pour the rice mixture into a greased baking dish.
Place the meat on the top.
Cut the butter into small pieces and add to the top of the casserole.
Bake for 20 minutes at 400° F, or until rice is done.