Cosmological perturbations for an improved LSBR model

We present a dark energy model resulting in a Little Sibling of the Big Rip (LSBR) abrupt event: a much milder version of the big rip and where no curvature singularity takes place in the future. This model was conceived as an improvement of the known LSBR model, so we will compare both of them throughout this talk. We also present and analyze the equation of state of our model, which determines the dark energy component in this scenario. We will then study its cosmological perturbations. This will allow us to calculate the matter power spectrum and f σ8. We will then compare them to both ΛCDM and  observational data.