Cosmological fluids with logarithmic equation of state

We investigate the cosmological applications of fluids having an equation of state which is the analog to the one related to the isotropic deformation of crystalline solids, that is containing logarithmic terms of the energy density, allowing additionally for a bulk viscosity. We consider two classe...

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Bibliographic Details
Published in:Annals of physics 2018-11, Vol.398, p.238-253
Main Authors: Odintsov, Sergei D., Oikonomou, V.K., Timoshkin, A.V., Saridakis, Emmanuel N., Myrzakulov, R.
Format: Article
Language:English
Subjects:
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
ASYMPTOTIC SOLUTIONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COSMOLOGICAL CONSTANT
COSMOLOGY
Coupled cosmological fluid
Dark energy
Dark matter
DE SITTER SPACE
DYNAMICAL SYSTEMS
EQUATIONS OF STATE
GRAVITATION
Modified gravity
Multifluid cosmology
NONLUMINOUS MATTER
PHANTOMS
QUANTUM FLUIDS
SYSTEMS ANALYSIS
TYPE I SUPERNOVAE
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Summary:We investigate the cosmological applications of fluids having an equation of state which is the analog to the one related to the isotropic deformation of crystalline solids, that is containing logarithmic terms of the energy density, allowing additionally for a bulk viscosity. We consider two classes of scenarios and we show that they are both capable of triggering the transition from deceleration to acceleration at late times. Furthermore, we confront the scenarios with data from Supernovae type Ia (SN Ia) and Hubble function observations, showing that the agreement is excellent. Moreover, we perform a dynamical system analysis and we show that there exist asymptotic accelerating attractors, arisen from the logarithmic terms as well as from the viscosity, which in most cases correspond to a phantom late-time evolution. Finally, for some parameter regions we obtain a nearly de Sitter late-time attractor, which is a significant capability of the scenario since the dark energy, although dynamical, stabilizes at the cosmological constant value.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2018.09.015