Exploring the Observational Constraints and Cosmological Dynamics in f(Q,L_m) Gravity
Abstract
We explore two scenarios of f(Q,ℒm) gravity: linear and non-linear gravity models. The dynamical system analysis identifies two critical points for each of the proposed linear and nonlinear matter--geometry coupling models. These equilibrium points correspond to distinct phases of cosmic evolution. Depending on the model parameters, the resulting critical points successfully reproduce the observed sequence of cosmic evolution, from a decelerated matter-dominated Universe to the present epoch of accelerated expansion. The effective equation of state parameter (ωeff) and the deceleration parameter (q) exhibit smooth transitions from decelerated to accelerated expansion, with transition epochs around Ntr ≈ −0.27 for linear Model and Ntr ≈ −0.32 for non-linear Model, consistent with late-time cosmic acceleration. Statistical constraints derived from CC+BAO, DESI DR II, and Pantheon+ datasets provide best-fit values for the model parameters (α, β, γ, H0), showing compatibility with current cosmological observations. The analysis employs Akaike (AIC) and Bayesian (BIC) information criteria to evaluate model performance. Our results demonstrate that f(Q,ℒm) gravity provides a viable alternative framework for explaining late-time acceleration, with rich dynamical features that merit further exploration in view of upcoming high-precision surveys.
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BibTeX
@misc{mandal2026exploring,
title = {{Exploring the Observational Constraints and Cosmological Dynamics in f(Q,L_m) Gravity}},
author = {Ratul Mandal and Anamika Kotal and Vipin Kumar Sharma and Ujjal Debnath},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.10591},
eprint = {2609.10591},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10591},
}
RIS
TY - UNPB
TI - Exploring the Observational Constraints and Cosmological Dynamics in f(Q,L_m) Gravity
AU - Ratul Mandal
AU - Anamika Kotal
AU - Vipin Kumar Sharma
AU - Ujjal Debnath
PY - 2026
DA - 2026/09/06
PB - arXiv
DO - 10.48550/arxiv.2609.10591
UR - https://arxiv.org/abs/2609.10591
AB - We explore two scenarios of f(Q,ℒ_m) gravity: linear and non-linear gravity models. The dynamical system analysis identifies two critical points for each of the proposed linear and nonlinear matter--geometry coupling models. These equilibrium points correspond to distinct phases of cosmic evolution. Depending on the model parameters, the resulting critical points successfully reproduce the observed sequence of cosmic evolution, from a decelerated matter-dominated Universe to the present epoch of accelerated expansion. The effective equation of state parameter (ω_eff) and the deceleration parameter (q) exhibit smooth transitions from decelerated to accelerated expansion, with transition epochs around N_tr ≈ −0.27 for linear Model and N_tr ≈ −0.32 for non-linear Model, consistent with late-time cosmic acceleration. Statistical constraints derived from CC+BAO, DESI DR II, and Pantheon^+ datasets provide best-fit values for the model parameters (α, β, γ, H_0), showing compatibility with current cosmological observations. The analysis employs Akaike (AIC) and Bayesian (BIC) information criteria to evaluate model performance. Our results demonstrate that f(Q,ℒ_m) gravity provides a viable alternative framework for explaining late-time acceleration, with rich dynamical features that merit further exploration in view of upcoming high-precision surveys.
ER -