BLOOD ON THE MOON by Debby Feo

Blood On the Moon puts the vampire Gaius on the Moon, where he lives in a
domed habitat.  Not knowing the whereabouts of his remaining family, both
biological and adopted, Gaius decides to leave the Earth for the "greener" pastures of the Moon. Earth has become virtually a wasteland, full of dangerous radiation, so Gaius buys a shuttle to take himself to the Moon, leaving his Italian villa behind. On the Moon, Gaius's only companions are robots designed to take care of his dome inside and out.  He has no one else to spend time with, either human or vampire.  When his loneliness becomes too much to bear, Gaius breaks his vow to his long-deceased adopted mother.  Gaius must then face the consequences of his actions. He no longer cares if he lives or dies. Until . . . [spoilers deleted].