https://doi.org/10.1140/epjc/s10052-024-12504-3
Regular Article - Theoretical Physics
Cosmological test of dark energy parameterizations in Hořava–Lifshitz gravity
1
Department of Applied Mathematics, Delhi Technological University, 110042, Delhi, India
2
Pacif Institute of Cosmology and Selfology (PICS), Sagara, 768224, Sambalpur, Odisha, India
3
Department of Mathematics, Shyamlal College, University of Delhi, 110032, Delhi, India
4
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, 711 103, Howrah, India
5
Department of Applied Physics, Delhi Technological University, 110042, Delhi, India
6
Department of Physics, Zhejiang Normal University, 321004, Jinhua, People’s Republic of China
7
New Uzbekistan University, Mustaqillik Ave. 54, 100007, Tashkent, Uzbekistan
8
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
Received:
11
October
2023
Accepted:
29
January
2024
Published online:
4
March
2024
In this work, we assume that the FLRW universe, which is filled with dark matter along with dark energy, is in the framework of Hořava–Lifshitz (HL) gravity. The dark energy is considered as the linear (Model I) and CPL (Model II) parameterizations of the equation of state parameter. For both models, we express the Hubble parameter H(z) in terms of the model parameters and redshift z. To rigorously constrain the model, we have employed a comprehensive set of recent observational datasets, including cosmic chronometers (CC), type Ia supernovae (SNIa), baryon acoustic oscillations (BAO), gamma-ray burst (GRB), quasar (Q) and cosmic microwave background radiation (CMB). Through the joint analysis of this diverse collection of datasets, we have achieved tighter constraints on the model’s parameters. This, in turn, allows us to delve into both the physical and geometric aspects of the model with greater precision. Furthermore, our analysis has enabled us to determine the present values of crucial cosmological parameters, including 
, 
, 
and 
. It is noteworthy that our results are consistent with recent findings from Planck 2018, underscoring the reliability and relevance of our models in the current cosmological context. We also conduct analysis of cosmographic parameters and apply statefinder and diagnostic tests to explore the evolution of the Universe. In addition, the statistical analysis suggests that the 
CDM model is the preferred model among all our considered models. Our investigation into the models has unveiled intriguing features of the late Universe.
© The Author(s) 2024
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