New developments in massive gravity

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The idea that the graviton may be massive has seen a
resurgence of interest due to recent progress which has overcome its

traditional problems.  
I will review this recent progress, which has

led to a consistent ghost-free effective field theory of
a massive graviton, with a stable hierarchy between the graviton mass and the
cutoff, and how this theory has the potential to resolve the naturalness
problem of the cosmological constant.