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Relativistic Khronon Theory in agreement with Modified Newtonian Dynamics and Large-Scale Cosmology

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arxiv 2404.06584 v2 pith:TVFUSKZX submitted 2024-04-09 gr-qc astro-ph.CO

Luc Blanchet , Constantinos Skordis This is my paper
classification gr-qcastro-ph.CO
keywords cosmologicaltheoryagreementbackgrounddynamicsfieldkhrononmodel
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abstract

We propose an extension of General Relativity (GR) based on a space-time foliation by three-dimensional space-like hypersurfaces labeled by the Khronon scalar field $\tau$. We show that this theory (i) leads to modified Newtonian dynamics (MOND) at galactic scales for stationary systems; (ii) recovers GR plus a cosmological constant in the strong field regime; (iii) is in agreement with the standard cosmological model and the observed cosmic microwave background anisotropies at linear cosmological scales, where the theory reduces to a subset of the generalized dark matter (GDM) model. We compute the second order action on a Minkowski background and show that it contains the usual tensor modes of GR and a scalar degree of freedom with dispersion relation $\omega=0$. We find that the deconstrained Hamiltonian is bounded from below for wavenumbers larger than $\sim 10^{-31}\,\text{eV}$ and unbounded for smaller wavenumbers.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Cosmological Dipole in Tilted Anisotropic Universes

    astro-ph.CO 2025-12 conditional novelty 6.0 of 10

    In tilted Bianchi cosmologies, a 10^-3 dipole is impossible under current shear and curvature bounds except possibly for a Khronon field.

  2. Dipolar dark matter theory based on a non-Abelian Yang-Mills field

    gr-qc 2025-07 conditional novelty 6.0 of 10

    A dipolar dark matter model with a non-Abelian SU(2) internal force reproduces the deep-MOND regime without arbitrary functions, but the MOND scale depends on free and galaxy-specific parameters.

  3. Improved constraints on modified Newtonian gravity from Cassini radio tracking data

    gr-qc 2026-02 conditional novelty 4.0 of 10

    An updated Cassini/DE440 fit gives a 40% tighter Solar System quadrupole constraint, producing 3–15 sigma tensions with galaxy rotation curves and a <=2% Milky Way MOND boost.

  4. On the initial conditions of the $\nu$HDM cosmological model

    astro-ph.CO 2025-06 conditional novelty 4.0 of 10

    A Bayesian fit of the νHDM (MOND plus sterile neutrino) cosmology to Planck CMB data returns H0≈56 km/s/Mpc and Ωm≈0.5, with a much worse fit than ΛCDM.

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