Yi-Peng Wu, Chao-Qiang Geng
We study the cosmological perturbations for the possible inflation scenario
in the teleparallel description of general relativity. A 3+1 decomposition of
the vierbein field, resulting in an identical formalism to the Hamiltonian
formulation of TEGR under a certain time gauge, provides the primordial
fluctuations of the single field inflationary model in the teleparallel
formulation indistinguishable from the standard one. For the higher-order
action, $f(T)$ gravity, we find that extra degrees of freedom can be fixed by
the time gauge so that the same parametrization is applied. The equivalence
between conformal frames may break down due to the Lorentz violating rescaling
process.
View original:
http://arxiv.org/abs/1110.3099
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