Cosmological model involving an interacting van der Waals fluid

Abstract

A model for the late-time accelerated expansion of the universe is considered where a van der Waals fluid interacting with matter plays the role of dark energy. The transition towards this phase in the cosmic evolution history is discussed in detail and, moreover, a complete classification of the future finite-time singularities is obtained for six different possible forms of the non-gravitational interaction between dark energy (the van der Waals fluid) and dark matter. This study shows, in particular, that a universe with a non-interacting three-parameter van der Waals fluid can evolve into a universe characterized by a Type IV~(Generalized Sudden) Singularity. On the other hand, for certain values of the parameters, exit from the accelerated expanding phase is possible in the near future, what means that the expansion of the universe in the future could become decelerated. On the other hand, our study shows that space can be divided into different regions. For some of them, in particular, the non-gravitational interactions $Q=3Hb{\rho }_{de}$, $Q=3Hb{\rho }_{dm}$ and $Q=3Hb({\rho }_{de}+{\rho }_{de})$ may completely suppress future finite-time singularity formation, for sufficiently high values of $b$. On the other hand, for some other regions of the parameter space, the mentioned interactions would not affect the singularity type, namely the Type IV singularity generated in the case of the non-interacting model would be preserved. A similar conclusion has been archived for the cases of $Q=3bH{\rho }_{de}{\rho }_{dm}/({\rho }_{de}+{\rho }_{dm})$, $Q=3bH{\rho }_{dm}^2/({\rho }_{de}+{\rho }_{dm})$ and $Q=3bH{\rho }_{de}^2/({\rho }_{de}+{\rho }_{dm})$ non-gravitational interactions, with only one difference: the $Q=3bH{\rho }_{dm}^2/({\rho }_{de}+{\rho }_{dm})$ interaction will change the Type IV singularity of the non-interacting model into a Type II~(The Sudden) singularity.

References in corpus (20)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Inflationary cosmology in modified gravity theories
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Extreme neutron stars from Extended Theories of Gravity
• Gaussian Process Cosmography
• Theoretical Models of Dark Energy
• Compact stars in $f(R,T)$ gravity
• Worse than a big rip?
• Barotropic index w-singularities in cosmology
• Unifying inflation with dark energy in modified F(R) Horava-Lifshitz gravity
• $f(T)$ gravitational baryogenesis
• Inflationary universe in terms of a van der Waals viscous fluid
• Hidden past of dark energy cosmological models
• Beyond-one-loop quantum gravity action yielding both inflation and late-time acceleration
• Lyth bound revisited
• Effects of Finite-time Singularities on Gravitational Waves

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