Cosmological evolution with quadratic gravity and nonideal fluids

Abstract

Some cosmological models based on the gravitational theory $f(R)=R+\zeta R^2$, and on fluids obeying to the equations of state of Redlich-Kwong, Berthelot, and Dieterici are proposed for describing smooth transitions between different cosmic epochs. A dynamical system analysis reveals that these models contain fixed points which correspond to an inflationary, a radiation dominated and a late-time accelerating epoch, and a nonsingular bouncing solution, the latter being an asymptotic fixed point of the compactified phase space. The infinity of the compactified phase space is interpreted as a region in which the non-ideal behaviors of the previously mentioned cosmic fluids are suppressed. Physical constraints on the adopted dimensionless variables are derived by demanding the theory to be free from ghost and tachyonic instabilities, and a novel cosmological interpretation of such variables is proposed through a cosmographic analysis. The different effects of the equation of state parameters on the number of equilibrium solutions and on their stability nature are clarified. Some generic properties of these models, which are not sensitive to the particular fluid considered, are identified, while differences are critically examined by showing that the Redlich-Kwong scenario admits a second radiation-dominated epoch and a Big Rip Singularity.

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References in corpus (121)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Extended Theories of Gravity
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• 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
• Phantom Energy and Cosmic Doomsday
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• A 2.4% Determination of the Local Value of the Hubble Constant
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• Statefinder -- a new geometrical diagnostic of dark energy
• f(T) teleparallel gravity and cosmology
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Disappearing cosmological constant in f(R) gravity
• Properties of singularities in (phantom) dark energy universe
• Coincident General Relativity
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• The trouble with $H_0$
• Jerk, snap, and the cosmological equation of state
• The final state and thermodynamics of dark energy universe
• New Parallaxes of Galactic Cepheids from Spatially Scanning the Hubble Space Telescope: Implications for the Hubble Constant
• Interacting quintessence solution to the coincidence problem
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Sudden Future Singularities
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Extended Gravity Cosmography
• Quantum escape of sudden future singularity
• Dynamics of dark energy with a coupling to dark matter
• Indications of a late-time interaction in the dark sector
• Aspects of the cosmological "coincidence problem"
• Cosmological dynamics of R^n gravity
• Energy conditions in f(R)-gravity
• Cosmography of f(R) gravity
• A parametric model for dark energy
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Le Chatelier-Braun principle in cosmological physics
• Cosmic Microwave Weak lensing data as a test for the dark universe
• Quantifying discordance in the 2015 Planck CMB spectrum
• Cosmology with a stiff matter era
• More General Sudden Singularities
• Worse than a big rip?
• The Luminosity Distance, the Equation of State, and the Geometry of the Universe
• Dark Interactions and Cosmological Fine-Tuning
• Statefinder parameters for interacting dark energy
• Tension between the power spectrum of density perturbations measured on large and small scales
• Classification of cosmological milestones
• Dark sector interaction: a remedy of the tensions between CMB and LSS data
• Interacting holographic dark energy
• Phase-space analysis of Horava-Lifshitz cosmology
• On the evolution of universes in quadratic theories of gravity
• Dynamical Systems Perspective of Cosmological Finite-time Singularities in $f(R)$ Gravity and Interacting Multifluid Cosmology
• Interpreting cosmological tensions from the effective field theory of torsional gravity
• Some remarks on the dynamical systems approach to fourth order gravity
• Cosmological models described by a mixture of van der Waals fluid and dark energy
• Barotropic index w-singularities in cosmology
• Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames
• Cosmic Jerk, Snap and Beyond
• Cosmographic evaluation of deceleration parameter using SNe Ia data
• Entropy evolution of universes with initial and final de Sitter eras
• Beyond the perfect fluid hypothesis for dark energy equation of state
• Phase Space Analysis of the Accelerating Multi-fluid Universe
• Dynamics of dark energy models and centre manifolds
• An analysis of the phase space of Horava-Lifshitz cosmologies
• Constraining Van der Waals quintessence by observations
• The cosmic snap parameter in f(R) gravity
• Cosmological dynamics of exponential gravity
• Interacting Dark Energy: Possible Explanation for 21-cm Absorption at Cosmic Dawn
• Effective field description of the Anton-Schmidt cosmic fluid
• Implications of the possible 21-cm line excess at cosmic dawn on dynamics of interacting dark energy
• Global gravitational instability of FLRW backgrounds - interpreting the dark sectors
• The cosmic jerk parameter in f(R) gravity
• Global dynamics and inflationary center manifold and slow-roll approximants
• Interacting Ghost Dark Energy Models with Variable $G$ and $\Lambda$
• Hidden past of dark energy cosmological models
• Cosmological dynamics of fourth order gravity: A compact view
• Dynamical system analysis at background and perturbation levels: Quintessence in severe disadvantage comparing to $\Lambda$CDM
• Bianchi IX Brane-world Cosmologies
• Lyman-$\alpha$ forest constraints on interacting dark sectors
• Reducing the $H_0$ tension with generalized Proca theory
• Dark energy with a gradient coupling to the dark matter fluid: cosmological dynamics and structure formation
• Phase space analysis and singularity classification for linearly interacting dark energy models
• Cosmography, Decelerating Past, and Cosmological Models: Learning the Bayesian Way
• Compactifying the state space for alternative theories of gravity
• Spherically symmetric Einstein-aether perfect fluid models
• Kantowski-Sachs Einstein-Aether Scalar Field Cosmological Models
• The Dominant Balance at Cosmological Singularities
• Phase space analysis of quintessence fields trapped in a Randall-Sundrum braneworld: a refined study
• Persistent Black Holes in Bouncing Cosmologies
• Dynamical analysis of interacting dark energy model in the framework of particle creation mechanism
• A dynamical system approach to inhomogeneous dust solutions
• Lemaitre-Tolman-Bondi dust solutions in f(R) gravity
• Cosmological bounces in spatially flat FRW spacetimes in metric f(R) gravity
• Brane cosmology with a van der Waals equation of state
• Dark energy from cosmological fluids obeying a Shan-Chen non-ideal equation of state
• Spikes and matter inhomogeneities in massless scalar field models
• The Horizon of the McVittie Black Hole: On the Role of the Cosmic Fluid Modeling
• A dynamical systems study of the inhomogeneous Lambda-CDM model
• Dynamical properties of Bianchi-I spacetimes in $f(R)$ gravity
• De Sitter stability in quadratic gravity
• Thermodynamics of Shearing Massless Scalar Field Spacetimes is Inconsistent With the Weyl Curvature Hypothesis
• Non-minimally coupled quintessence DE model with a cubic galileon term --A Dynamical System Analysis
• Standard and exotic singularities regularized by varying constants
• Late-time evolution of cosmological models with fluids obeying a Shan-Chen-like equation of state
• Cosmological dynamics and bifurcation analysis of the general non-minimally coupled scalar field models
• Scalar field inflation and Shan-Chen fluid models
• Finite-time future singularities in modified gravity
• Future attractors of Bianchi types II and V cosmologies with massless Vlasov matter

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