Observational constraints on the jerk parameter with the data of the Hubble parameter

We study the accelerated expansion phase of the universe by using the kinematic approach . In particular, the deceleration parameter q is parametrized in a model-independent way. Considering a generalized parametrization for q , we first obtain the jerk parameter j (a dimensionless third time deriva...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2018-10, Vol.78 (10), p.1-8, Article 862
Main Authors: Al Mamon, Abdulla, Bamba, Kazuharu
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Confidence intervals
Data points
Deceleration
Elementary Particles
Evolution
Hadrons
Heavy Ions
Mathematical models
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Parameterization
Parameters
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Red shift
Regular Article - Theoretical Physics
String Theory
Switches
Universe
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Summary:We study the accelerated expansion phase of the universe by using the kinematic approach . In particular, the deceleration parameter q is parametrized in a model-independent way. Considering a generalized parametrization for q , we first obtain the jerk parameter j (a dimensionless third time derivative of the scale factor) and then confront it with cosmic observations. We use the latest observational dataset of the Hubble parameter H ( z ) consisting of 41 data points in the redshift range of 0.07 ≤ z ≤ 2.36 , larger than the redshift range that covered by the Type Ia supernova. We also acquire the current values of the deceleration parameter q 0 , jerk parameter j 0 and transition redshift z t (at which the expansion of the universe switches from being decelerated to accelerated) with 1 σ errors ( 68.3 % confidence level). As a result, it is demonstrate that the universe is indeed undergoing an accelerated expansion phase following the decelerated one. This is consistent with the present observations. Moreover, we find the departure for the present model from the standard Λ CDM model according to the evolution of j . Furthermore, the evolution of the normalized Hubble parameter is shown for the present model and it is compared with the dataset of H ( z ).
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-018-6355-2