Testing Lambert$W$ equation of state with observational Hubble parameter data.

In this paper, we investigate the possibility that the universe is made of a single dark fluid described by a Lambert$W$ equation of state parameter, $w_{eff}$, which is essentially dependent on two parameters $\vartheta_{1}$ and $\vartheta_{2}$ which need to be fixed from observations. We obtain the constraints on these parameters using the latest 51 data points of $H(z)$ measurements, spanning the redshift range $0.07\leq z \leq 2.36$. The present study shows that the universe is indeed undergoing an accelerated expansion phase following the decelerated one at the transition redshift, $z_{t}=0.77\pm0.03$ ($1\sigma$) and is well consistent with the recent observations. We also find that at low redshifts, $w_{eff}$ evolves only in the quintessence regime ($-1

Keywords:

• Quantum mechanics
• Dark energy
• Equation of state
• Quintessence
• Hubble's law
• Cosmological constant
• Universe
• Dark fluid
• Physics
• Mathematical physics
• Redshift

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