Interacting Induced Dark Energy Model

Abstract

Following the idea of the induced matter theory, for a non-vacuum five-dimensional version of general relativity, we propose a model in which the induced terms emerging from the extra dimension in our four-dimensional space-time, supposed to be as dark energy. Then we investigate the FLRW type cosmological equations and illustrate that when the scale factor of the fifth dimension has no dynamics, in early time the universe expands with deceleration and then in late time, expands with acceleration. In this case, the state parameter of the effective dark energy has a range of $-1<{\bar{w}}_{{}_X}<0$ and it has the value $-1/2$ for present time. The results for current acceleration impose that ${\Omega }_{{}_{X\circ }}>2{\Omega }_{{}_{M\circ }}$ which is in agreement with the measurements. We show that the effective energy density of dark energy have been having the same order of magnitude of the effective energy density of matter from the early time in the decelerating epoch of the universe expansion until now. The model avoids the cosmological coincidence problem.

arXiv comment11 pages, 1 figure

References in corpus (37)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• A Large Mass Hierarchy from a Small Extra Dimension
• Modified Gravity and Cosmology
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• An alternative to quintessence
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• Essentials of k-essence
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• The Cosmic Triangle: Revealing the State of the Universe
• Brane-World Gravity
• Kaluza-Klein Gravity
• Purely kinetic k-essence as unified dark matter
• Dark Matter and Dark Energy
• f(T) Gravity and local Lorentz invariance
• Accelerating universe from F(T) gravity
• Multiple Peaks in the Angular Power Spectrum of the Cosmic Microwave Background: Significance and Consequences for Cosmology
• Phenomenology of a realistic accelerating universe using only Planck-scale physics
• Theoretical Models of Dark Energy
• Fourth order gravity: equations, history, and applications to cosmology
• Why is the Universe Accelerating?
• A Two-Field Quintessence Model
• The accelerating universe in brane-world cosmology
• Transient Accelerated Expansion and Double Quintessence
• The Status of Modern Five-Dimensional Gravity
• Randall-Sundrum Model in the Presence of a Brane Bulk Viscosity
• FRW Cosmology From Five Dimensional Vacuum Brans-Dicke Theory
• Brans-Dicke Cosmology in 4D from scalar-vacuum in 5D
• Dilaton coupled brane-world and field trapping
• Dark Energy From Fifth Dimensional Brans-Dicke Theory
• Late time cosmic acceleration from vacuum Brans-Dicke theory in 5D
• FLRW Cosmology of Induced Dark Energy Model and Open Universe

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