$Λ$CDM from broken diffeomorphisms

Fuente: arXiv
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Autores principales: Pérez, Javier de Cruz, Maroto, Antonio L.
Formato: Preprint
Publicado: 2025
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author Pérez, Javier de Cruz
Maroto, Antonio L.
author_facet Pérez, Javier de Cruz
Maroto, Antonio L.
contents We present a simple field theory model with reduced invariance under diffeomorphisms whose energy-momentum tensor is identical to the sum of pressureless irrotational matter and a cosmological constant. The model action is built from a single scalar field with a canonical kinetic term without any potential or Lagrange multiplier terms. The coupling to gravity is realized through a particular transverse diffeomorphism invariant volume element. The corresponding sound speed is exactly zero in any background geometry and the model is dynamically identical to $Λ$CDM. By restoring the full diffeomorphism invariance through the introduction of Stueckelberg-like fields, we obtain an equivalent local scalar-vector theory.
format Preprint
id arxiv_https___arxiv_org_abs_2504_02541
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $Λ$CDM from broken diffeomorphisms
Pérez, Javier de Cruz
Maroto, Antonio L.
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
We present a simple field theory model with reduced invariance under diffeomorphisms whose energy-momentum tensor is identical to the sum of pressureless irrotational matter and a cosmological constant. The model action is built from a single scalar field with a canonical kinetic term without any potential or Lagrange multiplier terms. The coupling to gravity is realized through a particular transverse diffeomorphism invariant volume element. The corresponding sound speed is exactly zero in any background geometry and the model is dynamically identical to $Λ$CDM. By restoring the full diffeomorphism invariance through the introduction of Stueckelberg-like fields, we obtain an equivalent local scalar-vector theory.
title $Λ$CDM from broken diffeomorphisms
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2504.02541