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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 10 | Year 2025 | Article Id. IJMTT-V71I10P101 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I10P101

Hybrid Expansion Law for Bulk Viscous 𝑓(𝑇) Gravity


S. C. Darunde, S. N. Bayaskar
Received Revised Accepted Published
06 Aug 2025 11 Sep 2025 03 Oct 2025 17 Oct 2025
Citation :

S. C. Darunde, S. N. Bayaskar, "Hybrid Expansion Law for Bulk Viscous 𝑓(𝑇) Gravity," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 10, pp. 1-8, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I10P101

Abstract

The present investigation examines the bulk viscous Kantowski-Sachs cosmological model within the framework of f(T) modified gravity. We have derived the field equations by employing a specific functional form f(T) of gravity and analyzed the dynamics of essential physical parameters, including energy density, isotropic pressure, and the equation of state parameter. To obtain precise solutions, a hybrid expansion law has been utilized, which provides insight into the accelerated expansion of the universe. The results indicate that energy density consistently decreases over time, while isotropic pressure exhibits a declining trend, both contributing to cosmic acceleration. The equation of state parameter remains within the phantom regime, suggesting the presence of a dynamic dark energy component. This study highlights the versatility of f(T) modified gravity in elucidating both the early and late stages of cosmic evolution. Our findings align with observational data, enhancing the validity of modified gravity theories in explicating the dynamics of the universe’s expansion.

Keywords

Kantowski-Sachs universe, 𝑓(𝑇) Theory of gravity, Hybrid expansion law. 

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