I believe the Christmas beetle doesn't occur in this part of the world, and I don't feel like squashing them. The description seems to fit quite well with the rose chafer, except that they are larger (Cetonia aurata is upt to 20 mm long), and the underside is black, not coppery coloured.
Anyhow, there does not seem to be any reason to chase them, since they are supposed to be beneficient, their larvae are the insect equivalent of earth worms and help make very good compost where they are often found in great numbers, according to Wikipedia. And they don't seem to attack fresh fruit, there is nothing left of the rotten pear they feasted on yesterday, today I saw them flying around looking for more rotten fruit, but without any luck. I also saw some escapring from the covered compost heap when I opened it this morning.