Running Dark Energy and Dark Matter from Dynamical Spacetime
Abstract
Running Dark Energy and Dark Matter models are candidates to resolve the Hubble constant tension. However the model does not consider a Lagrangian formulation directly. In this paper we formulate an action principle where the Running Vacuum Model (RVM) is obtained from an action principle, with a scalar field model for the whole dark components. The Dynamical Spacetime vector field $\chi_\mu$ is a Lagrange multiplier that forces the kinetic term of the scalar field to behave as the modified dark matter. When we replace the vector field by a derivative of a scalar the model predicts diffusion interactions between the dark components with a different correspondence to the RVM. We test the models with the Cosmic Chronometers, Type Ia Supernova, Quasars, Gamma ray Bursts and the Baryon Acoustic Oscillations data sets. We find that $\Lambda$CDM is still the best model. However this formulation suggests an action principle for the $\Lambda$CDM, the RVM model and other extensions.
 Publication:

arXiv eprints
 Pub Date:
 October 2019
 arXiv:
 arXiv:1910.03933
 Bibcode:
 2019arXiv191003933B
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 6 pages, 4 figures, modified version