Apparent dark matter as a non-local manifestation of emergent gravity

Kimet Jusufi; Ahmad Sheykhi; Salvatore Capozziello

doi:10.1016/j.dark.2023.101270

paper

Apparent dark matter as a non-local manifestation of emergent gravity

arXiv:2303.14127 · doi:10.1016/j.dark.2023.101270

Abstract

We disclose a close correspondence between Verlinde's Emergent Gravity (VEG) theory and the non-local gravity theories. Such non-local effects can play crucial role at small distances as well as in large scale structures. In particular, we argue that the emergent gravity effectively is a manifestation of the entanglement entropy and can modify Newton's law of gravity as well as address the flat rotation curves of spiral galaxies. In the cosmological setup, we have considered three different models for the apparent dark matter density. In the first model, we have found that Friedmann equations get modified due to the presence of the apparent dark matter (DM) in such a way that Newton's constant of gravity shifts as $G \to G (1 + ζ)$ , where $ζ$ is a dimensionless small parameter. Using the flat rotating curves we estimate $ζ \sim 1 0^{- 7}$ . For such a model, we find out that by rescaling the radial coordinate, $r$ , the curvature space constant, $k$ , and the scale factor of the universe, $a$ , the effect of apparent DM can change the geometry of the universe and can shift the curvature space constant as $k_{⋆} = k (1 - ζ)$ . To this end, we study a more realistic model with evolving densities where we obtain the $Λ$ CDM model in Verlinde's gravity and comment on the Hubble tension problem with evolving densities.

arXiv commentAccepted for publication in Physics of the Dark Universe

Apparent dark matter as a non-local manifestation of emergent gravity

Abstract

References in corpus (60)

Cited by in corpus (9)