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Comprehensive Study of $k$-essence Model: Dynamical System Analysis and Observational Constraints from Latest Type Ia Supernova and BAO Observations
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abstract
We constrain the parameters of the $k$-essence scalar field model with inverse square and exponential potentials using data sets including Pantheon+SHOES and the Dark Energy Survey (DES) of Type Ia supernovae, Baryon Acoustic Oscillation (BAO) data from SDSS and DESI surveys, and direct measurements of the Hubble parameter and redshift obtained from the differential age method (CC). We also provide a brief perspective on the dynamical evolution of both models and derive stability constraints on the model parameters, which are then used to set appropriate priors. We adopt a Bayesian inference procedure to estimate the model parameters that best fit the data. A comprehensive analysis in light of observational data shows that the $k$-essence model fits well across all data combinations. However, according to the BIC criterion, the $\Lambda$CDM model provides a slightly better fit compared to the $k$-essence model.
Forward citations
Cited by 2 Pith papers
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Geometric formulation of $k$-essence and late-time acceleration
Integrable vectorial nonmetricity gravity is shown to be equivalent to purely kinetic quadratic k-essence, which fits late-time data as well as ΛCDM.
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Hubble tension in k-essence: Evidence for robust tension alleviation
Dilaton and tachyon k-essence models robustly reduce Planck–late-Universe H0 tension to 0.14σ and 0.69σ without dataset-dependent fine-tuning of model parameters.
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