Massive Graviton on a Spatial Condensate

Abstract

In this paper, we consider the spatial gauge symmetries spontaneously break down in GR, and graviton becomes massive on this spatial condensate background. Such model can be considered as a simplest example of massive gravity. We then apply our massive gravity theory to inflation, the graviton mass removes the IR divergence of the inflationary loop diagram.

5 pages, 1 figure; at V2, we slightly change the title, re-organize the introduction sector, add the remarks on the self-consistency, and correct some typos; V3, more details are included, V4, more references and discussions added