K-essence scalar field as dynamical dark energy
  We study an early dark energy (EDE) model as a K-essence scalar field in the
framework of FLRW universe using an effective parametrization of the state
equation as a function of the redshift $z$ with the tracker condition during
radiation domination, but also demanding an accelerated expansion of the
universe at late times emulating cosmological constant. We found all the
dynamical variables of the EDE system. We use the luminosity distances of the
SNIA to get the best estimations for the free parameters of the model and also,
we constrain the model using primordial abundances of light nuclei in BBN
theory. We summarize the necessary conditions to achieve BBN predictions and
the accelerated expansion of the universe at late times.
