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Cosmological Dark Matter from a Bulk Black Hole

Sylvain FichetEugenio MegiasMariano Quiros
Dec 2022
摘要
We study the cosmology of a three-brane in a specific five-dimensionalscalar-gravity (i.e. soft-wall) background, known as the linear dilatonbackground. We discover that the Friedmann equation of the brane-worldautomatically contains dark matter. This dark matter arises as a projection ofthe bulk black hole on the brane, which contributes to the brane Friedmannequation via both the Weyl tensor and the scalar stress tensor. The nontrivialmatter-like behavior is due to an exact cancellation between the Weyl andscalar pressures. We show that the Newtonian potential only receives a mildshort-distance correction going as inverse distance squared, ensuringcompatibility of the linear dilaton brane-world with observed 4D gravity. Oursetup can be viewed as a consistent cosmological description of the holographictheories arising in the linear dilaton background. We also present a slightlydeformed model interpolating between AdS and linear dilaton backgrounds, whosebrane cosmology features either dark radiation or dark matter depending on thebrane value of the bulk scalar field.
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