Could We Exist On Earth Under A Red Giant Star?

Earth may just outrun the swelling red giant but its proximity, and the resulting rise in temperature, will probably destroy all life on Earth, and possibly the planet itself. However, there’s no reason that life could not survive on another planet (or moon) sufficiently far out from the Sun, as long as it lies within the Sun’s expanded ‘habitable zone’. Life could also survive on suitably hospitable planets around other red giants.