Cosmological Dynamics of Relativistic MOND

Abstract

In this paper, we investigate the recently proposed relativistic theory for MOND using the phase space analysis. Unlike its precedent theory, namely TeVeS, this theory is claimed to agree with the observed Cosmic Microwave Background and matter power spectra. We convert the background cosmological equations of the theory to a set of first-order autonomous equations. Then we explore the corresponding critical points and their physical meaning. This method is powerful in the sense that the cosmological behavior of the model is diagnosed independently of the magnitude of the free parameters of the theory. We show that the theory has a viable sequence of cosmological epochs. Although using specific initial conditions, this theory mimics the standard cosmological model; it provides a richer structure as far as the background cosmology is concerned. This implies that further investigations are required to see if this theory contributes to addressing the current cosmological tensions.

18 pages, 10 figures, 2 tables. v2: Some minor improvements are made; v3: Version matching the accepted one in JCAP

References in corpus (4)

• From galactic bars to the Hubble tension: weighing up the astrophysical evidence for Milgromian gravity
• Can Cosmic Structure form without Dark Matter?
• Generalizing TeVeS Cosmology
• Are sterile neutrinos consistent with clusters, the CMB and MOND?

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• Sudden cosmological singularities in Aether scalar-tensor theories
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• A MOND model applied to the rotation curve of galaxies