Analysing dissipative effects in the $\Lambda$CDM model

Abstract

In the present paper, the effects of viscous dark matter are analysed within the $\Lambda$CDM model. Here we consider bulk viscosity through the Israel-Stewart theory approach, leading to an effective pressure term in the continuity equation that accomplishes for the dissipative effects of the dark matter fluid. Then, the corresponding equation for viscosity is solved and a general equation for the Hubble parameter is obtained with the presence of a cosmological constant. The existence of de Sitter solutions is discussed, where a wider range of solutions is found in comparison to the $\Lambda$CDM model. Also the conditions for the near thermodynamical equilibrium of the fluid is analysed. Finally, a qualitative analysis provides some constraints on the model by using Supernovae Ia data which reveals the possible importance of causal thermodynamics in cosmology.

arXiv comment11 pages, 4 figures, analysis extended

References in corpus (53)

• 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
• 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
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• A direct empirical proof of the existence of dark matter
• Dark Energy and the Accelerating Universe
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Dark Matter Candidates from Particle Physics and Methods of Detection
• Constraints on the redshift dependence of the dark energy potential
• Beyond the Cosmological Standard Model
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• 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
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Weak lensing mass reconstruction of the interacting cluster 1E0657-558: Direct evidence for the existence of dark matter
• The final state and thermodynamics of dark energy universe
• Observational constraints on dark energy with generalized equations of state
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Born-Infeld inspired modifications of gravity
• Dark Energy and Viscous Cosmology
• Viscous Little Rip Cosmology
• Does Bulk Viscosity Create a Viable Unified Dark Matter Model?
• Bulk viscosity driving the acceleration of the Universe
• Viscous dark energy and phantom evolution
• Exploring Cosmological Expansion Parametrizations with the Gold SnIa Dataset
• Dark goo: Bulk viscosity as an alternative to dark energy
• Cosmological consequences of an adiabatic matter creation process
• Dissipation of dark matter
• Viscous FRW Cosmology in Modified Gravity
• Constraints on dissipative unified dark matter
• Phantom behavior via cosmological creation of particles
• Viscous Dark Cosmology with Account of Quantum Effects
• Cardy-Verlinde formula in FRW Universe with inhomogeneous generalized fluid and dynamical entropy bounds near the future singularity
• Large scale structure from viscous dark matter
• Accelerated and decelerated expansion in a causal dissipative cosmology
• Unveiling the Dynamics of the Universe
• Accelerating cosmological expansion from shear and bulk viscosity
• Casimir Effects Near the Big Rip Singularity in Viscous Cosmology
• Crossing of the w=-1 Barrier in Two-Fluid Viscous Modified Gravity
• Interacting viscous dark fluids
• Crossing the phantom divide with dissipative normal matter in the Israel-Stewart-Hiscock formalism
• Phenomenological models for Unified Dark Matter with fast transition
• DBI models for the unification of dark matter and dark energy
• Parametrizing the transition to the phantom epoch with Supernovae Ia and Standard Rulers

Cited by in corpus (19)

• Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs
• Testing the equation of state for viscous dark energy
• Modelling and testing the equation of state for (Early) dark energy
• Viscous dark matter and 21 cm cosmology
• Constraints and cosmography of $\Lambda$CDM in presence of viscosity
• Stability analysis and constraints on interacting viscous cosmology
• Cosmological test on viscous bulk models using Hubble Parameter measurements and type Ia Supernovae data
• Cosmic expansion with matter creation and bulk viscosity
• Constraining a causal dissipative cosmological model
• Viscous Self Interacting Dark Matter Cosmology For Small Redshift
• A new Parametrization for Bulk Viscosity Cosmology as Extension of the $\Lambda$CDM Model
• Study of a viscous $\Lambda$WDM model: Near equilibrium condition, entropy production, and cosmological constraints
• Qualitative analysis for viscous cosmologies in a non linear regime of the Israel-Stewart formalism
• A non-singular early-time viscous cosmological model
• WIMP dark matter in bulk viscous non-standard cosmologies
• Lightening the Dark Matter from its Viscosity and Explanation of EDGES Anomaly
• FIMP Dark Matter in bulk viscous non-standard cosmologies
• Exploring thermodynamics inconsistencies in unimodular gravity: a comparative study of two energy diffusion functions
• Testing a nonlinear solution of the Israel-Stewart theory