Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-08-11
Int.J.Mod.Phys.A24:81-100,2009
Physics
High Energy Physics
High Energy Physics - Theory
20 pages
Scientific paper
10.1142/S0217751X09043146
We study the physical propagating modes in a massive gravity model in curved cosmological backgrounds, which we have found as classical solutions in our previous paper. We show that, generically, there exist such the cosmological background solutions consistent with the equations of motion where we assume the ghost condensation ansatzes. Using the (1+3)-parametrization of the metric fluctuations with 'unitary' gauge, we find that there is neither a scalar ghost nor a tachyon in the spectrum of the propagating modes, the tensor modes become massive owing to gravitational Higgs mechanism, and the model is free of the Boulware-Deser instability. The price we have to pay is that the scalar sector breaks the Lorentz-invariance, but there are no pathologies in the spectrum and lead to interesting phenomenology. Moreover, we present a proof of the absence of non-unitary modes for a specific ghost condensation model in a cosmological background.
Maeno Masahiro
Oda Ichiro
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