Abstract
Compared with the plentiful researches of the Hubble parameter and deceleration factor, the third time derivative of the scale factor a(t) in the FRW cosmology, namely, the jerk parameter j still lacks attention. In order to study the properties of j, we propose several kinds of parameterizations of j(z) as a function of the redshift z. By setting the standard ΛCDM model as the fiducial model, we constrain the jerk models with the observational Hubble parameter data (OHD) and Type Ia Supernovae (SNe) observations. We find that the perturbation of j(z) favors a value of nearly zero and the ΛCDM is well accommodated by the jerk reconstruction. We also compare the powers of OHD and SNe in constraining the jerk models in detail, and find that the newly released OHD measurement at z=2.3 can improve the constraint significantly, even tighter than the SNe one. Furthermore, we analyze the jerk models by calculating the Hubble parameter, equation of state, the deceleration factor and Om(z) diagnostic. Our results show that the universe is indeed undergoing an accelerated expansion phase following the matter-dominated one, which is consistent with the standard model by observations.
Highlights
One of the most important discoveries of the modern cosmology is the accelerated expansion of the universe
We can see that the ΛCDM model or the j(z) = −1 model is well accommodated by supernovae observations
We study the property of the cosmological jerk parameter in detail
Summary
One of the most important discoveries of the modern cosmology is the accelerated expansion of the universe. In order to give a reasonable explanation to this scenario, a great variety of attempts have been done These works include the dark energy models which involve the introduction of exotic matter sources, and the modified gravity models which relates to the changes of the geometry of the spacetime [9,10,11,12,13]. The standard ΛCDM model is considered to be the simplest and most natural one which shows great consistence with the observational data[14,15,16,17] In this model, the cosmological constant Λ is considered to be the dark energy component of the universe.
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