Testing a dissipative kinetic k-essence model

Abstract

In this work, we present a study of a purely kinetic k-essence model, characterized basically by a parameter $\alpha$ in presence of a bulk dissipative term, whose relationship between viscous pressure $\Pi$ and energy density $\rho$ of the background follows a polytropic type law $\Pi \propto {\rho }^{\lambda +1/2}$, where $\lambda$, in principle, is a parameter without restrictions. Analytical solutions for the energy density of the k-essence field are found in two specific cases: $\lambda =1/2$ and $\lambda =(1-\alpha )/2\alpha$, and then we show that these solutions posses the same functional form than the non-viscous counterpart. Finally, both approach are contrasted with observational data from type Ia supernova, and the most recent Hubble parameter measurements, and therefore, the best values for the parameters of the theory are founds.

9 pages, 5 figures, accepted in EPJC

References in corpus (55)

• Planck 2013 results. XVI. Cosmological parameters
• Cosmological Imprint of an Energy Component with General Equation of State
• 4D Gravity on a Brane in 5D Minkowski Space
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Cosmology and the Fate of Dilatation Symmetry
• An alternative to quintessence
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Phantom Energy and Cosmic Doomsday
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• Dark Energy and the Accelerating Universe
• k-Inflation
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Rolling Tachyon
• Tachyon Matter
• Unification of Dark Matter and Dark Energy: the Inhomogeneous Chaplygin Gas
• Cosmology with Ultra-light Pseudo-Nambu-Goldstone Bosons
• Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
• Cosmology on a Brane in Minkowski Bulk
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• Purely kinetic k-essence as unified dark matter
• Born-Infeld particles and Dirichlet p-branes
• Brane Dynamics From the Born-Infeld Action
• Sudden Future Singularities
• Observational constraints on dark energy with generalized equations of state
• Hubble parameter measurement constraints on the cosmological deceleration-acceleration transition redshift
• Dark Energy-Dark Matter Interaction and putative violation of the Equivalence Principle from the Abell Cluster A586
• Unified phantom cosmology: inflation, dark energy and dark matter under the same standard
• WMAP and the Generalized Chaplygin Gas
• Dark Energy and Viscous Cosmology
• Viscous Little Rip Cosmology
• More General Sudden Singularities
• Kinetic k-essence and Quintessence
• Power-law expansion in k-essence cosmology
• Inflation, dark matter and dark energy in the string landscape
• Unified Dark Matter in Scalar Field Cosmologies
• Can a matter-dominated model with constant bulk viscosity drive the accelerated expansion of the universe?
• Exploring a matter-dominated model with bulk viscosity to drive the accelerated expansion of the Universe
• Effect of an Electron-phonon Interaction on the One-electron Spectral Weight of a d-wave Superconductor
• Cosmic Acceleration, Dark Energy and Fundamental Physics
• Unified Dark Matter Scalar Field Models
• Observational Evidence of the Accelerated Expansion of the Universe
• Constraints on dissipative unified dark matter
• Bulk viscous cosmology with causal transport theory
• Crossing of the w=-1 barrier in viscous modified gravity
• On the consistency of warm inflation in the presence of viscosity
• Dark energy: investigation and modeling
• Patch dualities and remarks on nonstandard cosmologies
• ISW effect in Unified Dark Matter Scalar Field Cosmologies: an analytical approach
• Unified Dark Matter models with fast transition
• The extreme limit of the generalized Chaplygin gas
• Black Holes in Bulk Viscous Cosmology
• Thermal fluctuations in viscous cosmology
• The $k$-essence scalar field in the context of Supernova Ia Observations
• Viscous gravitational aether and the cosmological constant problem

Cited by in corpus (8)

• Characteristic Properties of Two Different Viscous Cosmology Models for the Future Universe
• General Bulk-Viscous Solutions and Estimates of Bulk Viscosity in the Cosmic Fluid
• Remarks on cosmological bulk viscosity in different epochs
• Cosmology with viscous generalized Chaplygin gas in $f(Q)$ gravity
• Constraints on the speed of sound in the k-essence model of dark energy
• Cosmological evolution of generalized non-local gravity
• Thawing k-essence dark energy in the PAge space
• Reconstruction of a kinetic k--essence Lagrangian from a modified of dark energy equation of state