Cosmological test on viscous bulk models using Hubble Parameter measurements and type Ia Supernovae data

Abstract

From a phenomenological point of view, we analyze the dynamics of the Universe at late times by introducing a polynomial and hyperbolic bulk viscosity into the Einstein field equations respectively. We constrain their free parameters using the observational Hubble parameter data and the Type Ia Supernovae dataset to reconstruct the deceleration $q$ and the jerk $j$ parameters within the redshift region $0<z<2.5$. At current epochs, we obtain $q_0=-0.680_{-0.102}^{+0.085}$ and $j_0=2.782_{-0.741}^{+1.198}$ for the polynomial model and $q_0=-0.539_{-0.038}^{+0.040}$ ($-0.594_{-0.056}^{+0.056}$) and $j_0=0.297_{-0.050}^{+0.051}$ ($1.124_{-0.178}^{+0.196}$) for the tanh (cosh) model. Furthermore, we explore the statefinder diagnostic that gives us evident differences with respect to the concordance model (LCDM). According to our results this kind of models is not supported by the data over LCDM.

Accepted for publication in EPJC

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• 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
• Kaniadakis holographic dark energy: observational constraints and global dynamics
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• Gas of thin tubes of massless scalar field as a possible model of unified dark fluid
• Cosmological constraints on viable $f(R)$ models using weak lensing