A Possible Late Time $\Lambda$CDM-like Background Cosmology in Relativistic MOND Theory

Abstract

In the framework of Relativistic MOND theory (TeVeS), we show that a late time background $\Lambda$CDM cosmology can be attained by choosing a specific $F(\mu )$ that also meets the requirement for the existence of Newtonian and MOND limits. We investigate the dynamics of the scalar field $\varphi$ under our chosen $F(\mu )$ and show that the "slow roll" regime of $\varphi$ corresponds to a dynamical attractor, where the whole system reduces to $\Lambda$CDM cosmology.

Major revisions made; Matching the version to be published in IJMPD

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• Testing the tensor-vector-scalar Theory with the latest cosmological observations
• MOND cosmology from entropic force
• A MOND model applied to the rotation curve of galaxies