Red Dwarfs are the most numerous stars in the Galaxy. However, they are more than 10,000 times less luminous than our sun. If an earthlike planet happens to be within the very narrow habitable zone, it will be locked by the star's tidal forces - one half would always see the warm, red light of the sun, while the opposite side would be in perpetual darkness. Surprisingly, American scientists have recently shown that such a world will be climatically stable if the atmosphere is thick enough to transport excess heat to the night side. Life may be possible even on such gloomy worlds. UV Ceti is a nearby Red Dwarf.