Avoidance of Big Crunch Singularity in the Q-SC-CDM model via nonminimal coupling: Theory and Data Analyses

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Main Authors: Myrzakulov, Yerlan, Hussain, Saddam, Shahalam, Mohd
Format: Preprint
Published: 2025
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author Myrzakulov, Yerlan
Hussain, Saddam
Shahalam, Mohd
author_facet Myrzakulov, Yerlan
Hussain, Saddam
Shahalam, Mohd
contents We investigate a class of scalar field dark energy models non-minimally coupled to gravity, characterized by a double exponential potential and parameterized coupling $ξ$. We study the cosmological dynamics for a recently proposed descending dark energy model, namely, Q-SC-CDM. Initially, we choose distinct values of coupling parameter. For some values of $ξ$, the evolution of the universe is split up into three different phases: {\it decelerated expansion (early time), accelerated expansion (late-time) and slow-contraction (future era)}, and provide Big Crunch Singularity at distant future. In other scenario, the phase of slow-contraction vanishes, cosmic acceleration is obtained at current epoch, and the universe gets de-Sitter expansion at distant future. It is remarkable to see that the Big Crunch Singularity is redundant in the later case. Next, we investigate the phase space analysis for the model under consideration. Our investigation brings new asymptotic regimes and finds stable de-Sitter solution. Eventually, we perform a comprehensive Bayesian analysis using recent cosmological observations, including Cosmic Chronometers, Type Ia Supernovae (Pantheon+ and DES-SN5YR), and Baryon Acoustic Oscillation (DESI DR2) data. The results demonstrate that the present model yield constraints on key cosmological parameters Ω_{0m}, H_0 and the sound horizon r_d that are consistent with ΛCDM within 68\% confidence level, yet exhibit mild tension with Pantheon+ measurements. Additionally, we employ the Om(z) diagnostic test, Akaike and Bayesian Information Criteria to distinguish our model from ΛCDM. The Statistical comparison reveals moderate support for the current model.
format Preprint
id arxiv_https___arxiv_org_abs_2506_11755
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Avoidance of Big Crunch Singularity in the Q-SC-CDM model via nonminimal coupling: Theory and Data Analyses
Myrzakulov, Yerlan
Hussain, Saddam
Shahalam, Mohd
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
We investigate a class of scalar field dark energy models non-minimally coupled to gravity, characterized by a double exponential potential and parameterized coupling $ξ$. We study the cosmological dynamics for a recently proposed descending dark energy model, namely, Q-SC-CDM. Initially, we choose distinct values of coupling parameter. For some values of $ξ$, the evolution of the universe is split up into three different phases: {\it decelerated expansion (early time), accelerated expansion (late-time) and slow-contraction (future era)}, and provide Big Crunch Singularity at distant future. In other scenario, the phase of slow-contraction vanishes, cosmic acceleration is obtained at current epoch, and the universe gets de-Sitter expansion at distant future. It is remarkable to see that the Big Crunch Singularity is redundant in the later case. Next, we investigate the phase space analysis for the model under consideration. Our investigation brings new asymptotic regimes and finds stable de-Sitter solution. Eventually, we perform a comprehensive Bayesian analysis using recent cosmological observations, including Cosmic Chronometers, Type Ia Supernovae (Pantheon+ and DES-SN5YR), and Baryon Acoustic Oscillation (DESI DR2) data. The results demonstrate that the present model yield constraints on key cosmological parameters Ω_{0m}, H_0 and the sound horizon r_d that are consistent with ΛCDM within 68\% confidence level, yet exhibit mild tension with Pantheon+ measurements. Additionally, we employ the Om(z) diagnostic test, Akaike and Bayesian Information Criteria to distinguish our model from ΛCDM. The Statistical comparison reveals moderate support for the current model.
title Avoidance of Big Crunch Singularity in the Q-SC-CDM model via nonminimal coupling: Theory and Data Analyses
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2506.11755