Holographic approach for dark energy - dark matter interaction in curved FLRW spacetime

Abstract

In this work we explore under a holographic approach the dark energy - dark matter interaction in a non-flat Friedmann-Lemaitre-Robertson-Walker spacetime, with a cut-off for the dark energy component given in terms of the Hubble scale. Based on results coming from the use of observational data, we consider a positive interaction $Q$-term together with a Chevallier-Polarsky-Linder type parametrization for the coincidence parameter, we realize that the model admits a Type III future singularity, in this singular universe we have that for a null value of the curvature parameter its scale factor is a constant value. With the use of some cosmological parameters constrained with observational data, we obtain that the crossing of the phantom divide is possible. Once the singular nature is obtained for the model, its Statefinder diagnosis reveals a behavior that is {\it far} from the $\Lambda$-CDM model.

Published version in Classical and Quantum Gravity, references added. 21 pages, 6 figures

References in corpus (12)

• Approaches to Understanding Cosmic Acceleration
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• Beyond linear galaxy alignments
• Cosmic Duality in Quintom Universe
• A String-Inspired Quintom Model Of Dark Energy
• Three thermodynamically-based parametrizations of the deceleration parameter
• Oscillating universe with quintom matter
• Accelerated and decelerated expansion in a causal dissipative cosmology
• Crossing the phantom divide with dissipative normal matter in the Israel-Stewart-Hiscock formalism
• Holographic dark energy interacting with dark matter in a Closed Universe
• Gauss-Bonnet dark energy on Hořava-Lifshitz cosmology
• Constraints on The Dark Energy Equation of State And The Deceleration Parameter From Recent Cosmic Observations

Cited by in corpus (7)

• Energy condition bounds on $f(Q)$ model parameters in a curved FLRW universe
• Modeling holographic dark energy with particle and future horizons
• Cosmology with variable $G$ and nonlinear electrodynamics
• Qualitative description of the universe in the interacting fluids scheme
• A holographic cut-off inspired in the apparent horizon
• Chaotic interactions between dark matter and dark energy
• Interacting Dark Energy and Its Implications for Unified Dark Sector