A study of holographic dark energy models using configuration entropy

Abstract

The holographic dark energy models provide an alternative description of the dark energy. These models are motivated by the possible application of holographic principle to the dark energy problem. We study the one parameter Li holographic dark energy and the two parameter Barrow holographic dark energy models using configuration entropy of the matter distribution in the Universe. The configuration entropy rate exhibits a distinct minimum at a specific scale factor that corresponds to the epoch, beyond which the dark energy takes a driving role in the accelerated expansion of the Universe. We find that the location of the minimum and magnitude of the entropy rate at the minimum are sensitive to the parameters of the models. We find the best fit relations between these quantities and the parameters of each model. We propose that these relations can be used to constrain the parameters of the holographic dark energy models from the future measurements of the configuration entropy at multiple redshifts. Further, the Barrow holographic dark energy model is based on Barrow entropy which modifies the standard Bekenstein-Hawking entropy, to capture the deformation of the black-hole surface due to quantum gravitational effects. We find that the location and amplitude of the minimum of the configuration entropy rate is strongly sensitive to the deformation exponent $\Delta$ in the Barrow model. Our study suggests that signatures of the quantum gravitational effects on the future event horizon may be detected from the study of the configuration entropy of the matter distribution on large-scales.

14 pages, 8 figures, latex, Accepted for publication in Research in Astronomy and Astrophysics

References in corpus (22)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Interacting holographic dark energy model in non-flat universe
• Constraints on Holographic Dark Energy from Latest Supernovae, Galaxy Clustering, and Cosmic Microwave Background Anisotropy Observations
• Entropic Accelerating Universe
• Big Bang Nucleosynthesis constraints on Barrow entropy
• Unifying Holographic Inflation with Holographic Dark Energy: a Covariant Approach
• Modified cosmology through spacetime thermodynamics and Barrow horizon entropy
• Holographic dark energy from nonadditive entropy: cosmological perturbations and observational constraints
• Barrow holographic dark energy with Hubble horizon as IR cutoff
• Barrow agegraphic dark energy
• Geometrical observational bounds on a fractal horizon holographic dark energy
• Barrow HDE model for Statefinder diagnostic in FLRW Universe
• Cosmography approach to dark energy cosmologies: new constrains using the Hubble diagrams of supernovae, quasars and gamma-ray bursts
• Barrow's black hole entropy and the equipartition theorem
• Dark radiation and dark matter coupled to holographic Ricci dark energy
• Modified holographic Ricci dark energy coupled to interacting dark matter and a non interacting baryonic component
• Does information entropy play a role in the expansion and acceleration of the Universe?
• Tsallis holographic dark energy for inflation
• Configuration entropy of the Cosmic Web: Can voids mimic the dark energy?
• Constraints to Holographic Dark Energy Model via Type Ia Supernovae, Baryon Acoustic Oscillation and WMAP

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• Barrow holographic dark energy interacting model in the presence of radiation and matter
• Gravitational wave probes of Barrow cosmology with LISA standard sirens
• Time evolution of the mutual information between disjoint regions in the Universe
• Impact of the Infrared Cutoff on Structure Formation in Tsallis Holographic Dark Energy
• A Combined Barrow Entropy and QCD Ghost Mechanism for Late-Time Cosmic Acceleration