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ΛCDM from broken diffeomorphisms

2025/04/03 by Javier de Cruz Pérez, Antonio L. Maroto, Pérez, Javier de Cruz +1
Computer Science · Mathematics · #Cellular Automata and Applications #Computability, Logic, AI Algorithms #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2504.02541

openalex publication_date 2025/04/03 · openalex created_date 2025/05/13 · openalex updated_date 2026/07/28

Abstract

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 ΛCDM. By restoring the full diffeomorphism invariance through the introduction of Stueckelberg-like fields, we obtain an equivalent local scalar-vector theory.

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