Evolution of the universe in entropic cosmologies via different formulations

Abstract

We study two types of entropic-force models in a homogeneous, isotropic, spatially flat, matter-dominated universe. The first type is a `$\Lambda (t)$ type' similar to $\Lambda (t)$CDM (varying-lambda cold dark matter) models in which both the Friedmann equation and the acceleration equation include an extra driving term. The second type is a `BV type' similar to bulk viscous models in which the acceleration equation includes an extra driving term whereas the Friedmann equation does not. In order to examine the two types systematically, we consider an extended entropic-force model that includes a Hubble parameter ($H$) term and a constant term in entropic-force terms. The $H$ term is derived from a volume entropy whereas the constant term is derived from an entropy proportional to the square of an area entropy. Based on the extended entropic-force model, we examine four models obtained from combining the $H$ and constant terms with the $\Lambda (t)$ and BV types. The four models agree well with the observed supernova data and describe the background evolution of the late universe properly. However, the evolution of first-order density perturbations is different in each of the four models, especially for low redshift, assuming that an effective sound speed is negligible. The $\Lambda (t)$ type is found to be consistent with the observed growth rate of clustering, in contrast with the BV type examined in this study. A unified formulation is proposed as well, in order to examine density perturbations of the two types systematically.

Final version accepted for publication in PRD. References are corrected. [21 pages, 4 figures, and 2 tables]

References in corpus (30)

• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• Cosmological constant and vacuum energy: old and new ideas
• Interacting holographic dark energy model in non-flat universe
• Cosmologies with Energy Exchange
• The 2dF-SDSS LRG and QSO Survey: QSO clustering and the L-z degeneracy
• Entropic Accelerating Universe
• The 2dF-SDSS LRG and QSO Survey: The LRG 2-Point Correlation Function and Redshift-Space Distortions
• Does Bulk Viscosity Create a Viable Unified Dark Matter Model?
• Bulk Viscous Cosmology
• Thermodynamical description of the interaction between holographic dark energy and dark matter
• Entropic cosmology for a generalized black-hole entropy
• Complete Cosmic History with a dynamical Lambda(H) term
• Hubble expansion and structure formation in the "running FLRW model" of the cosmic evolution
• Can a matter-dominated model with constant bulk viscosity drive the accelerated expansion of the universe?
• Matter creation and cosmic acceleration
• Exploring a matter-dominated model with bulk viscosity to drive the accelerated expansion of the Universe
• Friedmann cosmology with bulk viscosity: a concrete model for dark energy
• Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
• Entropy evolution of universes with initial and final de Sitter eras
• Non-adiabatic dark fluid cosmology
• Confronting Dark Energy Models using Galaxy Cluster Number Counts
• Cardy-Verlinde formula in FRW Universe with inhomogeneous generalized fluid and dynamical entropy bounds near the future singularity
• Non-adiabatic-like accelerated expansion of the late universe in entropic cosmology
• Effective equation of state for running vacuum: "mirage" quintessence and phantom dark energy
• Constraining Entropic Cosmology
• Effective growth of matter density fluctuations in the running LCDM and LXCDM models
• CMB acoustic scale in the entropic-like accelerating universe

Cited by in corpus (55)

• Tsallis Holographic Dark Energy
• Generalized entropy formalism and a new holographic dark energy model
• Cosmological model from the holographic equipartition law with a modified Rényi entropy
• Dynamical vacuum energy in the expanding Universe confronted with observations: a dedicated study
• Accelerated cosmos in a non-extensive setup
• Implications, consequences and interpretations of generalized entropy in the cosmological setups
• A Note on Tsallis Holographic Dark Energy
• Gravitationally Induced Particle Production: Thermodynamics and Kinetic Theory
• General form of entropy on the horizon of the universe in entropic cosmology
• Cosmic acceleration without dark energy: Background tests and thermodynamic analysis
• Nonsingular Decaying Vacuum Cosmology and Entropy Production
• Background history and cosmic perturbations for a general system of self-conserved dynamical dark energy and matter
• Reconstruction of quintessence field for the THDE with swampland correspondence in $f(R,T)$ gravity
• New Tsallis Holographic Dark Energy
• Entropic cosmology in a dissipative universe
• Cosmological perturbations in the Tsallis holographic dark energy scenarios
• Dynamical system analysis of interacting models
• Thermodynamic constraints on a varying cosmological-constant-like term from the holographic equipartition law with a power-law corrected entropy
• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Effects of Anisotropy on the Sign-Changeable Interacting Tsallis Holographic Dark Energy
• Generalized thermodynamic constraints on holographic-principle-based cosmological scenarios
• Inflation in the Rényi cosmology
• Cosmic microwave background radiation temperature in a dissipative universe
• Is $\Lambda$CDM an effective CCDM cosmology?
• Thermodynamically consistent entropic late-time cosmological acceleration
• Thermodynamics is more powerful than the role to it reserved by Boltzmann-Gibbs statistical mechanics
• Modified Hawking temperature and entropic force: a prescription in FRW model
• Modified cosmology from quantum deformed entropy
• Conceptual Inadequacy of the Shore and Johnson Axioms for Wide Classes of Complex Systems
• Interacting Tsallis and Rényi Holographic Dark Energy with Hybrid Expansion Law
• Extended $\Lambda$CDM model and viscous dark energy: A Bayesian analysis
• The Impact of Particle Production on Gravitational Baryogenesis
• Degeneracy between CCDM and $\Lambda$CDM cosmologies
• Horizon thermodynamics in holographic cosmological models with a power-law term
• A generalized mass-to-horizon relation: a new global approach to entropic cosmologies and its connection to $\Lambda$CDM
• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• Thermodynamically consistent entropic-force cosmology
• Gravitationally Induced Particle Production and its Impact on the WIMP Abundance
• Varying constants entropic--$\Lambda$CDM cosmology
• Cosmological Constraints on Entropic Cosmology with Matter Creation
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• Holographic Ricci dark energy as running vacuum
• Entropy production due to adiabatic particle creation in a holographic dissipative cosmology
• Gravitationally induced particle production and its impact on structure formation
• Evolution of dissipative and non-dissipative universes in holographic cosmological models with a power-law term
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• APPLIED COSMOGRAPHY: A Pedagogical Review
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• The cosmological dark sector as a scalar $\sigma$-meson field
• Tsallis $\delta$-entropy in an accelerating BIon
• Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
• Reconstruction of Tsallis Holographic Dark Energy via Modified Non-Metric Gravity: An $f(Q,C)$ Approach
• Multicomponent holographic dark energy model with generalized entropy
• Cosmological scenario based on the first and second laws of thermodynamics: Thermodynamic constraints on a generalized cosmological model