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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.10631 |
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| _version_ | 1866915665456136192 |
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| author | Dhankar, Praveen Kumar Munyeshyaka, Albert Hussain, Saddam Mutabazi, Tom |
| author_facet | Dhankar, Praveen Kumar Munyeshyaka, Albert Hussain, Saddam Mutabazi, Tom |
| contents | In the present work, we take into account the dynamical system analysis to investigate the matter power spectrum within the framework of the $f(Q,\mathcal{L}_{m})$ gravitational theory. After obtaining autonomous dynamical system variables for two different particular pedagogical choices of $f(Q,\mathcal{L}_{m})$ models (A and B), we derive the full system of perturbation equations using the $1+3$ covariant formalism to study the matter fluctuations. We present and solve the energy density perturbation equations to obtain the energy density contrast, which decays with redshift for both models for a particular choice of model parameters. After obtaining the numerical results of the density contrast, we computed the matter spectra for each model and conducted a comparative analysis with the $Λ$CDM. Furthermore, by employing the Markov Chain Monte Carlo (MCMC) analysis,the model parameters were constrained using a combination of different observational data sets to improve the robustness and accuracy of the parameter estimation. Our results indicate that only model A can be compatible with the considered observational data sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10631 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large scale structure constraints and matter power spectrum in $f (Q,\mathcal{L}_{m})$ gravity Dhankar, Praveen Kumar Munyeshyaka, Albert Hussain, Saddam Mutabazi, Tom General Relativity and Quantum Cosmology In the present work, we take into account the dynamical system analysis to investigate the matter power spectrum within the framework of the $f(Q,\mathcal{L}_{m})$ gravitational theory. After obtaining autonomous dynamical system variables for two different particular pedagogical choices of $f(Q,\mathcal{L}_{m})$ models (A and B), we derive the full system of perturbation equations using the $1+3$ covariant formalism to study the matter fluctuations. We present and solve the energy density perturbation equations to obtain the energy density contrast, which decays with redshift for both models for a particular choice of model parameters. After obtaining the numerical results of the density contrast, we computed the matter spectra for each model and conducted a comparative analysis with the $Λ$CDM. Furthermore, by employing the Markov Chain Monte Carlo (MCMC) analysis,the model parameters were constrained using a combination of different observational data sets to improve the robustness and accuracy of the parameter estimation. Our results indicate that only model A can be compatible with the considered observational data sets. |
| title | Large scale structure constraints and matter power spectrum in $f (Q,\mathcal{L}_{m})$ gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2507.10631 |