On the cosmological evolution of Scalar Field Dark Matter in the $\texttt{CLASS}$ code: accuracy and precision of numerical solutions

Understand

We present a numerical analysis of the cosmological evolution of scalar field dark matter (SFDM) in the Boltzmann code $\texttt{CLASS}$, based on a dynamical system analysis of previous works.

• We show a detailed study of the evolution of the different dynamical variables, and in particular of the energy density and its corresponding linear perturbations.
• The numerical results are in good agreement with those of the original SFDM equations of motion, and have better accuracy than other approaches.
• In addition, we calculate the temperature and matter power spectra and discuss the reliability of their numerical results.