2025/10/12 by Shivangi Rathore, Rathore, Shivangi, S. Surendra Singh +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.2510.10428
openalex publication_date 2025/10/12 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28
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+ζT2 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 T2, our model is consistent with the quintessence dark energy cosmological model. Along the equilibrium points T1,T3 and T4, 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.