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arXiv · 2003.13146

$\Lambda$CDM as a Noether Symmetry in Cosmology

David Benisty·Eduardo I. Guendelman·Emil Nissimov·Svetlana Pacheva
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Abstract

The standard $\Lambda$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 $\Lambda$CDM model and the present "darkon" Noether symmetry is exhibited up to linear order w.r.t. gravity-matter perturbations.

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David Benisty, Eduardo I. Guendelman, Emil Nissimov, Svetlana Pacheva. 2020-03-29. $\Lambda$CDM as a Noether Symmetry in Cosmology. https://doi.org/10.1142/s0218271820501047

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