https://doi.org/10.1140/epjc/s10052-025-14056-6
Regular Article - Theoretical Physics
Estimation of 
and 
in the 
parameterization within Einstein and Horava–Lifshitz gravity using DESI-Y1 and SDSS-IV
1
Department of Mathematics, Indian Institute of Engineering Science and Technology, 711 103, Shibpur, India
2
Department of Physics, Babeş-Bolyai University, Kogălniceanu Street, 400084, Cluj-Napoca, Romania
3
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
4
Pacif Institute of Cosmology and Selfology (PICS), Sagara, 768224, Sambalpur, Odisha, India
5
Department of Physics, Zhejiang Normal University, 321004, Jinhua, People’s Republic of China
a
himanshu.chaudhary@ubbcluj.ro
b
gmustafa3828@gmail.com
Received:
19
November
2024
Accepted:
12
March
2025
Published online:
31
March
2025
We propose a novel dynamical dark energy model within the frameworks of Einstein gravity and Horava–Lifshitz gravity, utilizing the DCMPM parametrization of the dark energy equation of state to derive the Hubble parameter. We keep as a free parameter, and use different cosmological datasets such as cosmic chronometer measurements, Type Ia Supernovae observations, and Baryon Acoustic Oscillation data from DESI Y1 and SDSS-IV to extract the posterior distributions of each model parameters. Furthermore, we investigate the evolution of the Universe using various cosmographic parameters and conduct diagnostic analyses, including the statefinder and 
diagnostics. Using various statistical metrics, we compare both models against the standard 
CDM model and find that all are well-supported by current data. Notably, the DCMPM parameterization within Einstein gravity emerges as a promising extension to the standard CDM framework.
© The Author(s) 2025
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Funded by SCOAP3.
