Resolving the ghost problem in nonlinear massive gravity.

By Sayed Fawad Hassan, Rachel A Rosen. Physical Review Letters, 2011

716 citations recorded by the source corpus.

We analyze the ghost issue in the recently proposed models of nonlinear massive gravity in the Arnowitt-Deser-Misner formalism. We show that, in the entire two-parameter family of actions, the Hamiltonian constraint is maintained at the complete nonlinear level and we argue for the existence of a nontrivial 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 nonlinear level, in four dimensions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Oceanography

View Paper: https://www.semanticscholar.org/paper/993c969fdc3f6c0fdfe8fcaeb529f3dace74b2a4

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Citations in the corpus

Heavy spin-2 Dark Matter (2016, background): “Only recently has the unique description which avoids the ghost been found [10–13].”
Positive signs in massive gravity (2016, background): “More recently, it was observed that the Boulware-Deser ghost can be eliminated with the proper choice of parameters [3, 4, 9].”
Universal Resistivity from Holographic Massive Gravity (2013, background): “ conductivity. It is perhaps more interesting to ask how changes to the gravitational dynamics aect the result. In this paper, we have worked with the form of m2(r) given in (2.3) that was argued in [20, 21, 22, 23] to be the unique ghost-free version of massive gravity. However, in the context of h”
Theoretical Aspects of Massive Gravity (2011, methodology): “In [103], the full theory was shown to be ghost free(20).”
Interacting spin-2 fields (2012, background): “For the special interactions of dRGT massive gravity, however, the lapse still survives as a Lagrange multiplier, enforcing a single primary constraint [8].”