Constraints from observational data for a running cosmological constant and warm dark matter with curvature

Abstract

It is known than the inclusion of spatial curvature can modify the evolution of matter perturbations, and affect the Large Scale Structure (LSS) formation. We quantify the effects of the non-zero space curvature in terms of LSS formation for a cosmological model with a running vacuum energy density and a warm dark matter component. The evolution of density perturbations and the modified shape of its power spectrum are constructed and analyzed.

Scalar field theory for warm dark matter

“…and using (48), we can solve for φ and to obtain its relation with ϕ, this is where we have taken α = 1/(3β 2 ) for convenience, letting β as another arbitrary constant. Finally, using the last relation in (49), we can find the function U(ϕ), in the form…”

“…However, the situation can be very different if a dynamical form of dark energy is considered. In previous work, the author and collaborators have considered a cosmological model for a RCC and WDM, where it was studied the evolution of the model in both background and perturbative contexts and it was compared with some cosmic observables as the first acoustic peak and the matter power spectrum [47,48]. Let us consider the inclusion of this RCC for our scalar field model of WDM.…”

“…so we need to find an expression for the Hubble parameter. The general and analytical solution of this system of equations was presented in [48], where the Hubble parameter, in the case of null spatial curvature, would take the form…”

Effective quantum gravity, cosmological constant and the Standard Model of particle physics

“…The models of running vacuum based on (1) were extensively explored and became an active field of research (see e.g. [10,12,14,18,19] and further references in the last work). These models give a well-motivated alternative to the theories of modified gravity of all kinds, as in both cases one can describe a slowly varying vacuum energy density.…”

The running vacuum in effective quantum gravity

“…From the field theory perspective [2], the observed vacuum energy density may not be exactly constant because of the remnant low-energy quantum effects. This observation led to cosmological models with the running cosmological and Newton constants (see [3] and the last paper on the subject [4] for a review and further references).…”