# Observational constraints on tensor perturbations in cosmological models with dynamical dark energy

## TL;DR

This paper uses multiple cosmological data sets to constrain tensor perturbations in models with dynamical dark energy, focusing on the tensor spectral index and scalar field potential uncertainties.

## Contribution

It provides new observational constraints on tensor modes and dark energy potential in models with dynamical dark energy using combined data sets.

## Key findings

- Constraints on tensor-mode perturbations and spectral index.
- Insights into the scalar field dark energy potential.
- Limits on tensor contributions from combined cosmological data.

## Abstract

We constrain the contribution of tensor-mode perturbations with free $n_t$ in the models with dynamical dark energy with the barotropic equation of state using Planck-2015 data on CMB anisotropy, polarization and lensing, BICEP2/Keck Array data on B-mode polarization, power spectrum of galaxies from WiggleZ and SN Ia data from the JLA compilation. We also investigate the uncertainties of reconstructed potential of the scalar field dark energy.