MASS FOR THE GRAVITON

Can we give the graviton a mass? Does it even make sense to speak of a massive graviton? In this essay I shall answer these questions in the affirmative. I shall outline an alternative to Einstein Gravity that satisfies the Equivalence Principle and automatically passes all class ical weak-field tests (GM/r approximate to 10(-6)). It also passes med ium-field tests (GM/r approximate to 1/5), but exhibits radically diff erent strong-field behaviour (GM/r approximate to 1). Black holes in t he usual sense do not exist in this theory, and large-scale cosmology is divorced from the distribution of matter. To do all this we have to sacrifice something: the theory exhibits prior geometry, and depends on a non-dynamical background metric.