The CMaDE-SFDM Model

Some recent observations of the universe seem to indicate that Dark Energy (DE) is not a cosmological constant, but must be dynamical. On the other hand, Cold Dark Matter (CDM) has faced several criticisms because there are observations whose explanation using CDM is not completely satisfactory. In a previous work we found that if we take into account the energy of the Gravitational Wave Background (GWB), we have to add a new term $\mathcal{M}=2\pi^2/\lambda^2$ to Einstein's equations, where $\lambda$ is the Compton wavelength of primordial gravitons. Using the actual size of the present universe $10^{26}$m, it implies that $\mathcal{M}\sim10^{-52}$1/m$^2$, just the size of the cosmological constant. We call it the Compton Mass Dark Energy (CMaDE) model. We use $\mathcal{M}$ as a DE model and find that this model fits cosmological observations better than the LCDM model. In the current work we use this model together with Scalar Field Dark Matter (SFDM) model as the DM of the universe and analyze its consequences.