Phase space analysis of cosmological models on $f(R,G,T)$ gravity
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arXiv
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| Format: | Preprint |
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2025
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| author | Meetei, Elangbam Chingkheinganba Singh, S. Surendra |
| author_facet | Meetei, Elangbam Chingkheinganba Singh, S. Surendra |
| contents | In the present article, we developed a dynamical system in the context of modified $f(R,G,T)$ gravity, where $R$, $G$ and $T$ are Ricci scalar, Gauss-Bonnet term and energy-momentum tensor respectively. Development of the dynamical system is done by first defining 9 dimensionless variables and formulate a ordinary differential equations by taking derivative of the variables with respect to logarithmic time $N=\log a(t)$, where $a(t)$ is the scale factor. This formulation is applied to the model $f(R,G,T)=αR^{l}+βG^{m} + γT^{n} $, and its solutions and their corresponding stabilities are analysed in details. From the plot of density parameters vs $N=-log(1+z)$, we conclude that our Universe is currently dominated by dark energy, which is compatible with current observation. Taking $l=2$, cosmic parameters such as deceleration parameter $(q)$, equation of state $(ω)$ and state finder parameters are also discussed by fixing one dimensionless variable, showing our Universe's expansion is accelerating with the present value of $q=-0.5$. Present value of $ω=-0.66$ suggests that our Universe is in Quintessence phase. Lastly, the validity of the model with respect to the $Λ$CDM model is checked by using 77 Hubble, 15 BAO and 1024 pantheon datasets, which implies that our model is aligned with the $Λ$CDM model's bahaviour. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_22690 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase space analysis of cosmological models on $f(R,G,T)$ gravity Meetei, Elangbam Chingkheinganba Singh, S. Surendra General Relativity and Quantum Cosmology High Energy Physics - Theory In the present article, we developed a dynamical system in the context of modified $f(R,G,T)$ gravity, where $R$, $G$ and $T$ are Ricci scalar, Gauss-Bonnet term and energy-momentum tensor respectively. Development of the dynamical system is done by first defining 9 dimensionless variables and formulate a ordinary differential equations by taking derivative of the variables with respect to logarithmic time $N=\log a(t)$, where $a(t)$ is the scale factor. This formulation is applied to the model $f(R,G,T)=αR^{l}+βG^{m} + γT^{n} $, and its solutions and their corresponding stabilities are analysed in details. From the plot of density parameters vs $N=-log(1+z)$, we conclude that our Universe is currently dominated by dark energy, which is compatible with current observation. Taking $l=2$, cosmic parameters such as deceleration parameter $(q)$, equation of state $(ω)$ and state finder parameters are also discussed by fixing one dimensionless variable, showing our Universe's expansion is accelerating with the present value of $q=-0.5$. Present value of $ω=-0.66$ suggests that our Universe is in Quintessence phase. Lastly, the validity of the model with respect to the $Λ$CDM model is checked by using 77 Hubble, 15 BAO and 1024 pantheon datasets, which implies that our model is aligned with the $Λ$CDM model's bahaviour. |
| title | Phase space analysis of cosmological models on $f(R,G,T)$ gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.22690 |