Cosmological implications of LRS Bianchi type-I cosmological model in $f(T)$ gravity
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arXiv
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| Natura: | Preprint |
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2025
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| author | Rathore, Shivangi Singh, S. Surendra |
| author_facet | Rathore, Shivangi Singh, S. Surendra |
| contents | We perform the dynamical system analysis of the Locally Rotationally Symmetric (LRS) Bianchi type-I cosmological model in f(T) gravity in the presence of energy interaction . A cosmologically viable form of $f(T)$ is chosen (where $T$ is the torsion scalar in teleparallelism) in the background of homogenous and anisotropic. For our model, we take $f(T) = T+ζT^{2}$ where $ζ$ is a constant. The evolution equations are reduced to the autonomous system of differential equations by suitable transformation of variables. The behaviour of the equilibrium points is examined by calculating the eigenvalues corresponding to these equilibrium points. We get four equilibrium points for our cosmological model out of which one equilibrium point is stable, two are saddle points and one is an unstable equilibrium point. Corresponding to equilibrium point $T_{2}$, our model is consistent with the quintessence dark energy cosmological model. Along the equilibrium points $T_{1},T_{3}$ and $T_{4}$, our model is consistent to phantom dark energy model. After that, we utilize the autonomous equations to analyse the cosmographic parameters along with the state-finder parameter. We demonstrate the phase plot analysis for our model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10428 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cosmological implications of LRS Bianchi type-I cosmological model in $f(T)$ gravity Rathore, Shivangi Singh, S. Surendra General Relativity and Quantum Cosmology We perform the dynamical system analysis of the Locally Rotationally Symmetric (LRS) Bianchi type-I cosmological model in f(T) gravity in the presence of energy interaction . A cosmologically viable form of $f(T)$ is chosen (where $T$ is the torsion scalar in teleparallelism) in the background of homogenous and anisotropic. For our model, we take $f(T) = T+ζT^{2}$ where $ζ$ is a constant. The evolution equations are reduced to the autonomous system of differential equations by suitable transformation of variables. The behaviour of the equilibrium points is examined by calculating the eigenvalues corresponding to these equilibrium points. We get four equilibrium points for our cosmological model out of which one equilibrium point is stable, two are saddle points and one is an unstable equilibrium point. Corresponding to equilibrium point $T_{2}$, our model is consistent with the quintessence dark energy cosmological model. Along the equilibrium points $T_{1},T_{3}$ and $T_{4}$, our model is consistent to phantom dark energy model. After that, we utilize the autonomous equations to analyse the cosmographic parameters along with the state-finder parameter. We demonstrate the phase plot analysis for our model. |
| title | Cosmological implications of LRS Bianchi type-I cosmological model in $f(T)$ gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.10428 |