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Constraints on Power Law and Exponential models in f(Q) Gravity

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arxiv 2410.10480 v1 pith:L53WYHXI submitted 2024-10-14 gr-qc

Constraints on Power Law and Exponential models in f(Q) Gravity

classification gr-qc
keywords gravitymodelmodelsexponentialpowerakaikeanalysisbackground
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we observationally test the \( f(Q) \) gravity model at both background and perturbation levels using Pantheon$^+$, Hubble measurements, and Redshift Space Distortion Data. We obtain the best-fit parameters by solving numerically the modified Friedmann equations for two distinct cosmological models of \( f(Q) \) gravity namely the Power law and Exponential models. This involves performing a Markov Chain Monte Carlo analysis for these specific forms of \( f(Q) \). To evaluate the statistical significance of the \( f(Q) \) gravity models, we use the Bayesian and corrected Akaike Information Criteria. Our results indicate that the Exponential model in \( f(Q) \) gravity is statistically favored over both the Power-law model and the \( \Lambda \)CDM model.

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