Bouncing Scenario in the $f(T)$ Modified Gravity Model with Dynamical System Analysis
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914965563113472 |
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| author | Sadatian, S. Davood Hosseini, S. Mohamad Reza |
| author_facet | Sadatian, S. Davood Hosseini, S. Mohamad Reza |
| contents | In $f(T)$ gravity, the theory modifies the gravitational action by introducing a function of the torsion scalar $T$. This approach allows for a different treatment of gravity than general relativity, particularly in cosmological contexts. Dynamical system analysis is a powerful tool for exploring the stability and behavior of cosmological solutions within this framework. The dynamical system analysis involves examining the phase space of the cosmological equations derived from the $f(T)$ model. This analysis helps identify fixed points, stability, and the evolution of the universe's scale factor. Therefore, in the following, we first review the main equations of the $f(T)$ gravity model. Then we study the dynamic analysis of the gravity model and obtain stability points. Finally, we consider the bouncing scenario in this model. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_04062 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bouncing Scenario in the $f(T)$ Modified Gravity Model with Dynamical System Analysis Sadatian, S. Davood Hosseini, S. Mohamad Reza General Relativity and Quantum Cosmology High Energy Physics - Theory In $f(T)$ gravity, the theory modifies the gravitational action by introducing a function of the torsion scalar $T$. This approach allows for a different treatment of gravity than general relativity, particularly in cosmological contexts. Dynamical system analysis is a powerful tool for exploring the stability and behavior of cosmological solutions within this framework. The dynamical system analysis involves examining the phase space of the cosmological equations derived from the $f(T)$ model. This analysis helps identify fixed points, stability, and the evolution of the universe's scale factor. Therefore, in the following, we first review the main equations of the $f(T)$ gravity model. Then we study the dynamic analysis of the gravity model and obtain stability points. Finally, we consider the bouncing scenario in this model. |
| title | Bouncing Scenario in the $f(T)$ Modified Gravity Model with Dynamical System Analysis |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.04062 |