Rabbits in the wild are active dawn to dusk. During the day, rabbits will stay in their warrens in complete darkness, only coming out for short periods. This is because as a prey animal its safer to live underground during daytime. Your rabbit will, therefore, naturally prefer to stay inside during the day. Rabbits can suffer from heat stroke, so your rabbit needs to be kept protected from excess heat, or cold.
The closer your rabbit is to eating and living like a natural rabbit, the happier and healthier he will be and more rewarding for you.