A Holographic Dark Energy Model from Ricci Scalar Curvature

Abstract

Motivated by the holographic principle, it has been suggested that the dark energy density may be inversely proportional to the area of the event horizon of the Universe. However, such a model would have a causality problem. In this paper, we propose to replace the future event horizon area with the inverse of the Ricci scalar curvature. We show that this model does not only avoid the causality problem and is phenomenologically viable, but also naturally solves the coincidence problem of dark energy. Our analysis of the evolution of density perturbations show that the matter power spectra and CMB temperature anisotropy is only slightly affected by such modification.

arXiv comment7 pages, 8 figures. The discussions on structure formation and k-essence reconstruction are added. To appear in Phys. Rev. D

References in corpus (44)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• The World as a Hologram
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• A Model of Holographic Dark Energy
• Essentials of k-essence
• The holographic principle
• Effective Field Theory, Black Holes, and the Cosmological Constant
• Quantum gravity and minimum length
• Dark Energy Constraints from the Cosmic Age and Supernova
• A Covariant Entropy Conjecture
• Entropy Bounds and Dark Energy
• Holographic dark energy and cosmic coincidence
• Can dark energy evolve to the Phantom?
• A Dark Energy Model Characterized by the Age of the Universe
• Probable Values of the Cosmological Constant in a Holographic Theory
• Constraints on holographic dark energy from type Ia supernova observations
• The case for dynamical dark energy revisited
• Oscillating Quintom and the Recurrent Universe
• LBDS 53W091: An Old red Galaxy at z=1.552
• Statefinder diagnostic for holographic dark energy model
• Cuscuton: A Causal Field Theory with an Infinite Speed of Sound
• Constraints on Holographic Dark Energy from Latest Supernovae, Galaxy Clustering, and Cosmic Microwave Background Anisotropy Observations
• Dynamical vacuum energy, holographic quintom, and the reconstruction of scalar-field dark energy
• Holography and Variable Cosmological Constant
• Cosmological constraints on f(R) gravity theories within the Palatini approach
• Reconstructing holographic quintessence
• Constraints on holographic dark energy from X-ray gas mass fraction of galaxy clusters
• Statefinder diagnosis for the interacting model of holographic dark energy
• Statefinder diagnosis in a non-flat universe and the holographic model of dark energy
• Holographic tachyon model
• Age Problem in the Holographic Dark Energy Model
• Nonsaturated Holographic Dark Energy
• Cosmic Microwave Background Temperature and Polarization Anisotropy in Brans-Dicke Cosmology
• Holographic dark energy in a cyclic universe
• Reconstruction of general scalar-field dark energy models
• Observational constraints on cosmology from modified Friedmann equation
• Age of High Redshift Objects - a Litmus Test for the Dark Energy Models
• Possible theoretical limits on holographic quintessence from weak gravity conjecture
• Remarks on Dynamical Dark Energy Measured by the Conformal Age of the Universe
• Does Planck mass run on the cosmological horizon scale?

Cited by in corpus (252)

• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Dark Energy
• Teleparallel Gravity: From Theory to Cosmology
• Holographic Dark Energy
• Cosmography in f(T)-gravity
• Cosmological Evolution With Interaction Between Dark Energy And Dark Matter
• Holographic Ricci dark energy: Current observational constraints, quintom feature, and the reconstruction of scalar-field dark energy
• Early and late universe holographic cosmology from a new generalized entropy
• Barrow entropic dark energy: A member of generalized holographic dark energy family
• Statefinder Diagnosis for Ricci Dark Energy
• Holographic inflation
• Probing interaction and spatial curvature in the holographic dark energy model
• Unifying Holographic Inflation with Holographic Dark Energy: a Covariant Approach
• Observational Constraints on Cosmological Models with the Updated Long Gamma-Ray Bursts
• Viscous Ricci Dark Energy
• Notes on Ghost Dark Energy
• Ultra-compact structure in intermediate-luminosity radio quasars: building a sample of standard cosmological rulers and improving the dark energy constraints up to $z\sim 3$
• A Note on Tsallis Holographic Dark Energy
• More on QCD Ghost Dark Energy
• On holographic dark-energy models
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Comparison of dark energy models: A perspective from the latest observational data
• Current Observational Constraints to Holographic Dark Energy Model with New Infrared cut-off via Markov Chain Monte Carlo Method
• Interacting dark matter and modified holographic Ricci dark energy induce a relaxed Chaplygin gas
• Holographic dark energy in the DGP braneworld with GO cutoff
• Testing the dark energy with gravitational lensing statistics
• A Modified Holographic Dark Energy Model with Infrared Infinite Extra Dimension(s)
• A thermodynamic motivation for dark energy
• Testing coupled dark energy models with their cosmological background evolution
• Dark energy model with higher derivative of Hubble parameter
• Cosmological Models and Gamma-Ray Bursts Calibrated by Using Pade Method
• Comparison of dark energy models after Planck 2015
• Pilgrim Dark Energy
• Holography, UV/IR Relation, Causal Entropy Bound and Dark Energy
• Ricci-Gauss-Bonnet holographic dark energy
• Anisotropic dark energy model with a hybrid scale factor
• Revisit of the Interaction between Holographic Dark Energy and Dark Matter
• Reconstructing Quintom from Ricci Dark Energy
• An evaluation of cosmological models from expansion and growth of structure measurements
• A model of interacting holographic dark energy at the Ricci's scale
• Holographic dark energy in a universe with spatial curvature and massive neutrinos: a full Markov Chain Monte Carlo exploration
• Holographic bounce
• A Critique of Holographic Dark Energy
• Observational constraints on the interacting Ricci dark energy model
• Barrow HDE model for Statefinder diagnostic in FLRW Universe
• Modified cosmology from the thermodynamics of apparent horizon
• Generalized Holographic and Ricci Dark Energy Models
• Holographic Ricci dark energy: Interacting model and cosmological constraints
• Observational constraints on a holographic, interacting dark energy model
• Cosmic acceleration in non-flat $f(T)$ cosmology
• Observational Constraints to Ricci Dark Energy Model by Using: SN, BAO, OHD, fgas Data Sets
• Cosmological models with Lagrange Multiplier Field
• Sandage-Loeb test for the new agegraphic and Ricci dark energy models
• Holographic Ricci dark energy in Randall-Sundrum braneworld: Avoidance of big rip and steady state future
• Will there be again a transition from acceleration to deceleration in course of the dark energy evolution of the universe?
• Holographic realization from inflation to reheating in generalized entropic cosmology
• Ricci dark energy in Chern-Simons modified gravity
• Prospect for constraining holographic dark energy with gravitational wave standard sirens from the Einstein Telescope
• Reconstructing $f(R)$ Theory from Ricci Dark Energy
• Statefinder hierarchy model for the Barrow holographic dark energy
• Tension in the Recent Type Ia Supernovae Datasets
• Modified Holographic Dark Energy
• Modified holographic Ricci dark energy coupled to interacting dark matter and a non interacting baryonic component
• The holographic induced gravity model with a Ricci dark energy: smoothing the little rip and big rip through Gauss-Bonnet effects?
• A closer look at interacting dark energy with statefinder hierarchy and growth rate of structure
• Anisotropic solutions in f(R) Gravity
• Cosmic Constraint on Ricci Dark Energy Model
• Can Holographic dark energy models fit the observational data?
• Constraints on the Holographic Dark Energy Model from Type Ia Supernovae, WMAP7, Baryon Acoustic Oscillation and Redshift-Space Distortion
• Model selection and constraints from Holographic dark energy scenarios
• Power-Law Entropy Corrected Ricci Dark Energy and Dynamics of Scalar Fields
• Inflation driven by a holographic energy density
• Revisiting the holographic dark energy in a non-flat universe: alternative model and cosmological parameter constraints
• Viscous fluid holographic inflation
• Modified holographic dark energy in DGP brane world
• On the $c^2$ term in the holographic formula for dark energy
• A Comparison of Cosmological Models Using Strong Gravitational Lensing Galaxies
• Effects of Anisotropy on the Sign-Changeable Interacting Tsallis Holographic Dark Energy
• A comprehensive numerical study on four categories of holographic dark energy models
• Cosmology with Ricci dark energy
• Statefinder diagnosis for holographic dark energy in the DGP braneworld
• Diagnosing holographic dark energy models with statefinder hierarchy
• CMB Temperature and Matter Power Spectrum in a Decay Vacuum Dark Energy Model
• Probing the dynamical behavior of dark energy
• A forecast of using fast radio burst observations to constrain holographic dark energy
• Interacting Ricci-like holographic dark energy
• A magnified glance into the dark sector: probing cosmological models with strong lensing in A1689
• Ghost dark energy in $f(R)$ model of gravity
• Holographic realization of constant roll inflation and dark energy: An unified scenario
• Cosmological Analysis of Pilgrim Dark Energy in Loop Quantum Cosmology
• Exploring the Sharma-Mittal HDE models with different diagnostic tools
• Generalized Holographic Dark Energy and its Observational Constraints
• A global fit study on the new agegraphic dark energy model
• Observational constraints on decaying vacuum dark energy model
• Cosmology of a generalised version of holographic dark energy in presence of bulk viscosity and its inflationary dynamics through slow roll parameters
• Strong gravitational lensing constraints on holographic dark energy
• Holographic dark energy: constraints on the interaction from diverse observational data sets
• Ricci dark energy in bumblebee gravity model
• Probing Cosmic Acceleration by Using the SNLS3 SNIa Dataset
• Growth Rate and Configurational Entropy in Tsallis Holographic Dark Energy
• Notes on interacting holographic dark energy model in a closed universe
• Comparing holographic dark energy models with statefinder
• Tsallis Holographic Dark Energy Reconsidered
• On the Ricci dark energy model
• Scrutinizing Various Phenomenological Interactions In The Context Of Holographic Ricci Dark Energy Models
• A more general interacting model of holographic dark energy
• Tsallis holographic model of dark energy: Cosmic behaviour, statefinder analysis and ${\omega }_D-{\omega }_D^{\prime }$ pair in the non-flat universe
• Statefinder diagnosis for the extended holographic Ricci dark energy model without and with interaction
• Redshift drift constraints on holographic dark energy
• A note on interacting holographic dark energy with a Hubble-scale cutoff
• Reexploration of interacting holographic dark energy model: Cases of interaction term excluding the Hubble parameter
• Interacting modified holographic Ricci dark energy model and statefinder diagnosis in flat universe
• Holographic dark energy with the sign-changeable interaction term
• Traversable holographic dark energy wormholes constrained by astronomical observations
• Running vacuum versus Holographic dark energy: a cosmographic comparison
• The cosmological behaviour and the statefinder diagnosis for the New Tsallis agegraphic dark energy
• Gravity and Electromagnetism with $Y(R)F^2$-type Coupling and Magnetic Monopole Solutions
• $f(R)$ gravity modifications: from the action to the data
• Spatial Ricci scalar dark energy model
• Self-interacting holographic dark energy
• Reduced modified Chaplygin gas cosmology
• A study on the interacting Ricci dark energy in $f(R,T)$ gravity
• A New Type of Dark Energy Model
• Interacting Ricci Dark Energy and its Statefinder Description
• Cosmological constraints on the generalized holographic dark energy
• Scalar Field Reconstruction of Power-Law Entropy-Corrected HDE
• Statefinder hierarchy exploration of the extended Ricci dark energy
• Generalized holographic Ricci dark energy and generalized second law of thermodynamics in Bianchi Type I universe
• Cosmological constraints on polytropic gas model
• Modified holographic Ricci dark energy model and statefinder diagnosis in flat universe
• Crossing the phantom divide line in the Holographic dark energy model in a closed universe
• Constraints on a possible evolution of mass density power-law index in strong gravitational lensing from cosmological data
• Comparison of cosmological models using standard rulers and candles
• Theoretical Limits on Agegraphic Quintessence from Weak Gravity Conjecture
• More on the holographic Ricci dark energy model: smoothing Rips through interaction effects?
• Holographic dark energy described at the Hubble length
• Reconstruction of Scalar Field Dark Energy Models in Kaluza-Klein Universe
• Constraints to Holographic Dark Energy Model via Type Ia Supernovae, Baryon Acoustic Oscillation and WMAP
• Interacting Ricci dark energy models with an effective $\Lambda$-term in Lyra manifold
• Dynamical system approach to running $\Lambda$ cosmological models
• Dark Energy Models and Laws of Thermodynamics in Bianchi I Model
• Correspondence between Ricci and other dark energies
• Exploring the cosmological consequences of JLA supernova data with improved flux-averaging technique
• Cosmological Constraints on the DGP braneworld model with Gamma-ray bursts
• Cosmological Evolution of Pilgrim Dark Energy
• Density perturbation in an interacting holographic dark energy model
• Instability in interacting dark sector: An appropriate Holographic Ricci dark energy model
• Quantisation of the holographic Ricci dark energy model
• Comparing dark energy models with current observational data
• Holographic Dark Energy Characterized by the Total Comoving Horizon and Insights to Cosmological Constant and Coincidence Problem
• R\' enyi Holographic Dark Energy in Higher Dimension Cosmology
• Holographic Dark Energy Model Characterized by the Conformal-age-like Length
• Ricci Dark Energy in Brans-Dicke theory
• Ricci-Gauss-Bonnet holographic dark energy in Chern-Simons modified gravity: A flat FLRW quintessence-dominated universe
• Interacting cosmic fluids and phase transitions under a holographic modeling for dark energy
• Diagnosing the R$\acute{e}$nyi Holographic Dark Energy model in a flat Universe
• A Dynamical System Analysis of Holographic Dark Energy Models with Different IR Cutoff
• Holographic energy density, dark energy sound speed, and tensions in cosmological parameters: $H_0$ and $S_8$
• No evidence for the evolution of mass density power-law index $\gamma$ from strong gravitational lensing observation
• Interacting holographic Ricci dark energy as running vacuum
• Holographic dark energy in Barrow cosmology with Granda-Oliveros IR cutoff
• Dark Energy Cosmology with the Alternative Cosmic Microwave Background Data
• Interacting holographic dark energy models: A general approach
• A New Model of Holographic Dark Energy with Action Principle
• Natural scaling for dark energy
• (m,n)-type holographic dark energy models
• Rényi Holographic Dark Energy
• Causality Problem in a Holographic Dark Energy Model
• Renyi Holographic Dark Energy models in Teleparallel gravity
• Holographic Dark Energy and Quantum Entanglement
• Figure of Merit and Different Combinations of Observational Data Sets
• Cosmological Constraint and Analysis on Holographic Dark Energy Model Characterized by the Conformal-age-like Length
• A statistical representation of the cosmological constant from finite size effects at the apparent horizon
• The interacting generalized Ricci dark energy model in non-flat universe
• Modified holographic Ricci dark energy coupled to interacting relativistic and non-relativistic dark matter in the nonflat universe
• Real-time cosmology with SKA
• Holographic Λ(t)CDM model in a non-flat universe
• Restrictions on purely kinetic k-essence
• Holographic Ricci dark energy as running vacuum
• Cosmological Analysis of Modified Holographic Ricci Dark Energy in Chern-Simons Modified Gravity
• An interacting holographic dark energy model within an induced gravity brane
• Resolving FLRW cosmology through effective equations of state in $f(T)$ gravity
• DGP Cosmological model with generalized Ricci dark energy
• Bayesian Comparison of Interacting Modified Holographic Ricci Dark Energy Scenarios
• Israel-Stewart approach to viscous dissipative extended holographic Ricci dark energy dominated universe
• Reconstructions of $f(\mathcal{P})$ and $f(\mathcal{Q})$ gravity models from $(m,n)$-type Barrow Holographic Dark Energy: Analysis and Observational Constraints
• $\kappa (R,T)$ gravity
• Holographic Dark Energy from Acceleration of Particle Horizon
• A new approach to $P-V$ phase transitions: Einstein gravity and holographic type dark energy
• Probing Ricci dark energy model with perturbations by using WMAP seven-year cosmic microwave background measurements, BAO and Type Ia supernovae
• Non-adiabatic perturbations in Ricci dark energy model
• Generalized Ricci dark energy in Horava-Lifshitz gravity
• Phantom cosmologies from QCD ghost dark energy
• Stability analysis of an interacting holographic dark energy model
• Thermodynamics in Kaluza-Klein Universe
• Reconstructing quintom from WMAP 5-year observations: Generalized ghost condensate
• Revisiting holographic dark energy from the perspective of multi-messenger gravitational wave astronomy: future joint observations with short gamma-ray bursts
• Reconstructing modified gravity with holographic vacuum energy density
• Gauge and Poincare properties of the UV cutoff and UV completion in quantum field theory
• Time Variable Cosmological Constant from Renormalization Group Equations
• Holographic Dark Energy from the Anti-de Sitter Black Hole
• The Rényi holographic dark energy model in Chern-Simons gravity: some cosmological implications
• Quantum Entropy-Driven Modifications to Holographic Dark Energy in $f(G,T)$ Gravity
• Study of Thermodynamics in Generalized Holographic and Ricci Dark Energy Models
• Observational constraints on Tsallis holographic dark energy with Ricci horizon cutoff
• Dynamical System Analysis of Brane Induced Gravity with Tachyon Field
• Ricci-cubic holographic dark energy
• Interacting dark energy models in fractal cosmology
• Statefinder Diagnostic for Dark Energy Models in Bianchi I Universe
• Second order invariants and holography
• Bayesian analysis of running holographic Ricci dark energy
• Role of generalized Ricci dark energy on Chameleon field in the emergent universe
• Power Law and Logarithmic Ricci Dark Energy Models in Horava-Lifshitz Cosmology
• Analysis on a General Class of Holographic Type Dark Energy Models
• Holographic Ricci dark energy and generalized second law
• A closer look at the cosmological implications of the $\Lambda$HDE model
• Constraints on Holographic cosmologies from strong lensing systems
• Implementation of cosmological bounce inflation with Nojiri-Odintsov generalized holographic dark fluid
• Inflation in Symmergent Metric-Palatini Gravity
• Generalized Holographic Cosmology: low-redshift observational constraint
• Latest Cosmological Constraints on Cardassian expansion models including the updated Gamma-ray bursts
• Probing Cosmic Acceleration by Using Model-Independent Parametrizations and Three Kinds of Supernova Statistics Techniques
• A unification of RDE model and XCDM model
• Dynamical System Analysis of Randall-Sundrum Model with Tachyon Field on the Brane
• Cosmology in holographic non-minimal derivative coupling theory: constraints from inflation and variation of gravitational constant
• $f(T)$ gravity from holographic Ricci dark energy model with new boundary conditions
• Revisiting Holographic Dark Energy in Cyclic Cosmology
• Thermodynamics and holography of tachyon cosmology
• Stability of HDE model with sign-changeable interaction in Brans-Dicke theory
• The Stability Analysis of Brane Induced Gravity with Quintessence Field on the Brane with a Gaussian Potential
• Observational constraints and differential diagnosis for cosmic evolutionary models
• A bound system in the expanding universe with modified holographic Ricci dark energy and dark matter
• Crossing the phantom divide with k-essence in brane-worlds
• Entropy Bounds and Holographic Dark Energy: Conflicts and Consensus
• The peculiar case of the Viaggiu holographic dark energy
• Accelerating Universe with binary mixture of bulk viscous fluid and dark energy
• Statefinder Description in Generalized Holographic and Ricci Dark Energy Models
• Holographic Ricci DE as running vacuum with nonlinear interactions
• Semi-holographic model revisited
• Thermodynamical aspects of modified holographic dark energy model
• Cosmological dynamics of holographic dark energy with non-minimally coupled scalar field
• "Microscopic" approach to the Ricci dark energy
• Ricci-Cubic Holographic Dark Energy: Confronting Observations, Stability and the Cosmic Coincidence Problem
• Perturbations In Some Dark Energy Models
• Holographic dark energy in modified Kaniadakis cosmology
• Impact of the Infrared Cutoff on Structure Formation in Tsallis Holographic Dark Energy
• Modelling the current accelerated expansion of the Universe with Holographic Dark Energy
• Evolution and thermodynamics of new holographic dark energy with bulk viscosity in modified $f(R,T)$ gravity
• A Study on Ricci Dark Energy in Bulk-Brane Interaction
• Theoretical Consistency and Observational Constraints on Entropic Cosmology
• The holographic origin of future singularities and the role of spatial curvature in cosmic expansion
• First-order phase transitions and cosmic evolution: thermodynamic approach to generalized holographic dark energy