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Degrees of Freedom in Massive Gravity | | D. Comelli
; M. Crisostomi
; F. Nesti
; L. Pilo
; | | Date: |
4 Apr 2012 | | Abstract: | We study in a systematic way a generic massive deformation of general
relativity using the Hamiltonian formalism. The number of propagating degrees
of freedom is determined in a non-perturbative and background independent way.
We show that the condition of having only five propagating degrees of freedom
can be cast in a differential equation for the deforming potential whose
solutions produce a number of candidates both in the Lorentz invariant and in
Lorentz breaking case. In the Lorentz invariant case we recover the known
ghost-free solutions, which in the massless limit matches General Relativity
non perturbatively through the Vainshtein mechanism. We argue that a more
interesting Lorentz-breaking theory of massive gravity free from ghosts in
Minkowski space and without the vDVZ discontinuity can be defined. This is thus
a step forward to a viable weakly coupled and calculable large distance
modification of gravity. | | Source: | arXiv, 1204.1027 | | Services: | Forum | Review | PDF | Favorites | |
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