Primordial Fluctuations within Teleparallelism
Yi-Peng Wu, Chao-Qiang Geng
TL;DR
This paper investigates cosmological perturbations in teleparallel gravity, including $f(T)$ models, demonstrating their equivalence to general relativity in describing inflationary fluctuations.
Contribution
It provides a detailed analysis of primordial fluctuations within teleparallelism, extending to higher-order $f(T)$ gravity and establishing their physical equivalence to general relativity.
Findings
Cosmological perturbations in teleparallel gravity match those in general relativity.
Extension of perturbation analysis to $f(T)$ gravity models.
Framework for analyzing inflation within teleparallel formalism.
Abstract
We study the cosmological perturbations for the possible inflation scenario in the teleparallel equivalence of general relativity specified with parallelizable topological conditions. By acquiring the identical physical observables to general relativity under the teleparallel formalism, we perform a 3+1 decomposition of the vierbein field, which can be interpreted as the time gauge fixing between coordinate and tangent frames. We also extend our discussion to the higher-order action, gravity.
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