International Journal For Multidisciplinary Research

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Complete Study of Phase Transition of Bianchi-Type I Cosmological Model in f(T) Gravity

Author(s) Dr. R. K. DUBEY, Mr. ANOOP KUMAR PANDEY
Country India
Abstract This study rigorously investigates the evolutionary dynamics of the homogeneous, anisotropic Bianchi-Type I (BI) spacetime in the framework of f(T) modified teleparallel gravity. The f(T) action is constructed using the torsion scalar T, providing a geometric mechanism for cosmic acceleration without invoking exotic dark energy fluids in the matter sector. To obtain viable analytical solutions for the directional scale factors a_i (t) and the mean Hubble parameter H(t), we employ a kinematic closure condition: a parameterized time-dependent deceleration parameter q(t).1 The analysis confirms the crucial signature flip of the deceleration parameter (q>0→q<0), signaling the transition from an early decelerating phase to the present accelerating epoch.3 Observational constraints, derived from fitting the model to Type Ia Supernovae (SN Ia) and Cosmic Chronometer H(z) data, tightly constrain the model parameters, resulting in a transition redshift z_t≈0.73 and a present deceleration parameter q_0≈-0.55, consistent with established cosmological benchmarks.4 Crucially, the model demonstrates the necessary rapid decay of anisotropy, quantified by the shear scalar to expansion scalar ratio (σ/θ→0) at late times, validating BI as an asymptotic extension of the flat Friedmann-Lemaître-Robertson-Walker (FLRW) geometry.2 We analyze the physical origins of acceleration via the effective dark energy component induced by the f(T) geometry, confirming the late-time solutions are stable attractors in the dynamical system analysis.
Keywords f(T) Gravity, Teleparallel Cosmology, Bianchi Type I Universe,Deceleration Parameter, Phase Transition, Anisotropy, Cosmological Constraints, Dynamical System Analysis.
Field Mathematics
Published In Volume 7, Issue 6, November-December 2025
Published On 2025-11-18
DOI https://doi.org/10.36948/ijfmr.2025.v07i06.60994
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