Perfect fluid and F(T) gravity descriptions of inflationary universe and comparison with obervational data

TL;DR

This paper investigates inflationary models using perfect fluid and F(T) gravity theories, reconstructs their observables, and compares the results with recent observational data from Planck and BICEP2, showing consistency with empirical constraints.

Contribution

It introduces a reconstruction approach for inflationary observables within perfect fluid and F(T) gravity frameworks and demonstrates their compatibility with current cosmological data.

Findings

Models can reproduce inflation consistent with Planck data

Reconstructed models fit spectral index, tensor-to-scalar ratio, and running within observational bounds

Several models provide the best fit to recent cosmological observations

Abstract

We describe in this paper the observables of inflationary models, in particular the spectrum index of torsion scalar perturbations, the tensor-to-scalar ratio, and the running of the spectral index, in the framework of perfect fluid models and F(T) gravity theories through the reconstruction methods. Then, our results on the perfect fluid and F(T) gravity theories of inflation are compared with recent cosmological observations such as the Planck satellite and BICEP2 experiment. Ours studies prove that the perfect fluid and F(T) gravity models can reproduce the inflationary universe consistent above all with the Planck data. We have reconstructed several models and considered others which give the best fit values compatible with the spectral index of curvature perturbations, the tensor-to-scalar ratio, and the running of the spectral index within the allowed ranges suggested by the Planck and BICEP2 results.