Static Universe model existing due to the Matter-Dark Energy coupling

TL;DR

This paper proposes a static universe model where matter and Dark Energy, modeled by a scalar field, interact, allowing the model to match observed energy ratios and the Hubble constant, with implications for string theory.

Contribution

It introduces a static universe solution with matter-Dark Energy coupling, fixing scalar field parameters to match current cosmological observations.

Findings

The model reproduces the observed Dark Energy to matter ratio of 0.7/0.3.

It aligns the scalar field mass with the order of 10^{-29}cm^{-1}.

The solution emphasizes the importance of matter-Dark Energy interaction for universe stability.

Abstract

The work investigate a static, isotropic and almost homogeneous Universe containing a real scalar field modeling the Dark-Energy (quintaessence) interacting with pressureless matter. It is argued that the interaction between matter and the Dark Energy, is essential for the very existence of the considered solution. Assuming the possibility that Dark-Energy can be furnished by the Dilaton (a scalar field reflecting the condensation of string states with zero angular momentum) we fix the value of scalar field at the origin to the Planck scale. It became possible to fix the ratio of the amount of Dark Energy to matter energy, in the currently estimated value 0.7/0.3, and also the observed magnitude of the Hubble constant. The value of the mass for the scalar field chosen for fixing the above ratio and Hubble effect strength, results to be of the order of 10^{-29}cm^{-1}, a small mass which seems to be compatible with the zero mass of the Dilaton in the lowest approximations.