Primordial Fluctuations within Teleparallelism

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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16 pages, no figure, paper extended with new statements and references

Scientific paper

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.

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