$\Lambda$CDM as a Noether Symmetry in Cosmology
Abstract
The standard CDM model of cosmology is formulated as a simple modified gravity coupled to a single scalar field ("darkon") possessing a non-trivial hidden nonlinear Noether symmetry. The main ingredient in the construction is the use of the formalism of non-Riemannian spacetime volume-elements. The associated Noether conserved current produces stress-energy tensor consisting of two additive parts -- dynamically generated dark energy and dark matter components non-interacting among themselves. Noether symmetry breaking via an additional scalar "darkon" potential introduces naturally an interaction between dark energy and dark matter. The correspondence between the CDM model and the present "darkon" Noether symmetry is exhibited up to linear order w.r.t. gravity-matter perturbations.
Keywords
Cite
@article{arxiv.2003.13146,
title = {$\Lambda$CDM as a Noether Symmetry in Cosmology},
author = {David Benisty and Eduardo I. Guendelman and Emil Nissimov and Svetlana Pacheva},
journal= {arXiv preprint arXiv:2003.13146},
year = {2021}
}
Comments
10 pages, 1 figure, accepted in IJMPD