Effective field description of the Anton-Schmidt cosmic fluid

Abstract

The effective theory of the Anton-Schmidt cosmic fluid within the Debye approximation is investigated. In this picture, the universe is modeled out by means of a medium without cosmological constant. In particular, the Anton-Schmidt representation of matter describes the pressure of crystalline solids under deformations imposed by isotropic stresses. The approach scheme is related to the fact that the universe deforms under the action of the cosmic expansion itself. Thus, we frame the dark energy term as a function of scalar fields and obtain the corresponding dark energy potential $V(\phi )$. Different epochs of the universe evolution are investigated in terms of the evolution of $\phi$. We show how the Anton-Schmidt equation of state is capable of describing both late and early epochs of cosmic evolution. Finally, numerical bounds on the Anton-Schmidt model with $n=-1$ are derived through a Markov Chain Monte Carlo analysis on the combination of data coming from type Ia Supernovae, observations of Hubble parameter and baryon acoustic oscillations. Statistical comparison with the $\Lambda$CDM model is performed by the AIC and BIC selection criteria. Results are in excellent agreement with the low-redshift data. A further generalization of the model is presented to satisfy the theoretical predictions at early-stage cosmology.

arXiv comment13 pages, Accepted for publication in Phys. Rev. D

References in corpus (56)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2015 results. XIII. Cosmological parameters
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Extended Theories of Gravity
• Cosmological Constant - the Weight of the Vacuum
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• The Case for a Positive Cosmological Lambda-term
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• An alternative to quintessence
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Observational Probes of Cosmic Acceleration
• Constraints on the redshift dependence of the dark energy potential
• The Temperature of the Cosmic Microwave Background
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Conservative Constraints on Early Cosmology: an illustration of the Monte Python cosmological parameter inference code
• Reconstructing Dark Energy
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• How to determine an effective potential for a variable cosmological term
• WMAP and the Generalized Chaplygin Gas
• Cosmological Constraints on Bose-Einstein-Condensed Scalar Field Dark Matter
• Fourth order gravity: equations, history, and applications to cosmology
• Model independent constraints on dark energy evolution from low-redshift observations
• Parametrizations of the Dark Energy Density and Scalar Potentials
• Measurements of H(z) and D_A(z) from the Two-Dimensional Two-Point Correlation Function of Sloan Digital Sky Survey Luminous Red Galaxies
• F(R) gravity and inflation
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. II. A Spectroscopic Catalog of Red Galaxies in Galaxy Clusters
• The Logotropic Dark Fluid as a unification of dark matter and dark energy
• Modelling galaxy halos using dark matter with pressure
• Cosmological Fluids with Logarithmic Equation of State
• Nonlinear Chaplygin Gas Cosmologies
• Extended logotropic fluids as unified dark energy models
• The $\Lambda \mathrm{CDM}$ Limit of the Generalized Chaplygin Gas Scenario
• Is there a concordance value for $H_0$?
• Cosmological constraints on generalized Chaplygin gas model: Markov Chain Monte Carlo approach
• Integrable Supersymmetric Fluid Mechanics from Superstrings
• Comparison between the Logotropic and $\Lambda$CDM models at the cosmological scale
• Constraining Logotropic Unified Dark Energy Models
• Extended family of generalized Chaplygin gas models
• Nonextensive scalar field theories and dark energy models
• Scalar field potentials for closed and open cosmological models
• Polytropic dark halos of elliptical galaxies

Cited by in corpus (28)

• Extended Gravity Cosmography
• Model-independent reconstruction of $f(Q)$ non-metric gravity
• Healing the cosmological constant problem during inflation through a unified quasi-quintessence matter field
• Dawn of the dark: unified dark sectors and the EDGES Cosmic Dawn 21-cm signal
• Extended logotropic fluids as unified dark energy models
• An analysis of the $H_0$ tension problem in a universe with a viscous dark fluid
• A model for a dark matter core at the galactic center
• Unification of DE-DM from Diffusive Cosmology
• Early and late time cosmology: the $f(R)$ gravity perspective
• Late-time constraints on modified Gauss-Bonnet cosmology
• Testing generalized logotropic models with cosmic growth
• The phase-space view of non-local gravity cosmology
• Black hole thermodynamics from logotropic fluids
• The unified history of the viscous accelerating universe and phase transitions
• Cosmological evolution with quadratic gravity and nonideal fluids
• Dark sector unifications: dark matter-phantom energy, dark matter -- constant $w$ dark energy, dark matter-dark energy-dark matter
• On the uniqueness of $\Lambda$CDM-like evolution for homogeneous and isotropic cosmology in General Relativity
• Assessing the foundation and applicability of some dark energy fluid models in the Dirac-Born-Infeld framework
• A new logotropic model based on a complex scalar field with a logarithmic potential
• Addressing the $H_0$ tension through matter with pressure and no early dark energy
• Can the NANOGrav observations constrain the geometry of the universe?
• Viscous coupled fluids in terms of a log-corrected equation of state
• Is it possible to separate baryonic from dark matter within the $\Lambda$-CDM formalism?
• Thermodynamic parametrization of dark energy
• Effects of non-vanishing dark matter pressure in the Milky Way galaxy
• The Lambert $W$ equation of state in light of DESI BAO
• Testing the Anton-Schmidt dark energy model with the DESI DR2 measurements
• Singularity softening and avoidance by the action of thermal radiation in a generalized entropic cosmology