Abstract
We investigate entropic force cosmological models with the possibility of matter creation and energy exchange between the bulk and the horizon of a homogeneous and isotropic flat Universe. We consider three different kinds of entropy, Bekenstein’s, the non-extensive Tsallis–Cirto’s, and the quartic entropy, plus some phenomenological functional forms for matter creation rate to model different entropic force models and put the observational constraints on them. We show that while most of them are indistinguishable from a standard Lambda CDM scenario, the Bekenstein entropic force model with a matter creation rate proportional to the Hubble parameter is statistically highly favored over Lambda CDM. As a general result, we also find that both the Hawking temperature parameter gamma , which relates the energy exchange between the bulk and the boundary of the Universe, and the matter creation rate Gamma (t), must be very small to reproduce observational data.
Highlights
Current observational data [25,26,27,28,29,30,31,32] show that the expansion of the Universe is accelerating and a large number of investigations have been done to understand this experimental fact [33,34]
According to the entropic cosmology approach, additional entropic force terms are needed to be added to the Einstein field equations and are assumed to be coming from the neglected boundary terms in the Einstein Hilbert action
For the case of Bulk viscous (BV) type models, which are inspired by the possible creation of cold dark matter [69,70,71,72,73] and bulk viscosity of the cosmological fluids [74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90], the driving entropic force terms are only included in the acceleration equation but not in the Friedmann equation due to dissipation processes
Summary
Current observational data [25,26,27,28,29,30,31,32] show that the expansion of the Universe is accelerating and a large number of investigations have been done to understand this experimental fact [33,34]. For the case of BV type models, which are inspired by the possible creation of cold dark matter [69,70,71,72,73] and bulk viscosity of the cosmological fluids [74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90], the driving entropic force terms are only included in the acceleration equation but not in the Friedmann equation due to dissipation processes.
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