2011/06/30 by S. F. Hassan, Rachel A. Rosen · 2 citations
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevlett.108.041101
4 pages, comments and reference added, version accepted for publication
arxiv created 2012/04/04 · arxiv updated 2015/05/28
We analyze the ghost issue in the recently proposed models of non-linear massive gravity in the ADM formalism. We show that, in the entire two-parameter family of actions, the Hamiltonian constraint is maintained at the complete non-linear level and we argue for the existence of a non-trivial secondary constraint. This implies the absence of the pathological Boulware-Deser ghost to all orders. To our knowledge, this is the first demonstration of the existence of a consistent theory of massive gravity at the complete non-linear level, in four dimensions.