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Dynamical and Cosmological Aspects of Teleparallel and Extended Teleparallel Gravity

2025/01/19 by S. A. Kadam, Kadam, S. A.
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Solar and Space Plasma Dynamics

paper · pdf · doi:10.48550/arxiv.2501.11048

openalex publication_date 2025/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This thesis investigates modified teleparallel gravity models with a scalar field and teleparallel boundary terms, focusing on their cosmological implications for late-time cosmic acceleration. Teleparallel gravity, is an alternative to General Relativity, explains gravitation through torsion. The study presents the teleparallel analog of the Horndeski theory and its dynamical system approach, analyzing the newly developed f(T,ϕ) gravity model with two potential functions. It examines the phase space, conditions for different cosmological epochs, and the transition from early to late-time cosmic evolution. The inclusion of boundary terms, such as the teleparallel boundary term B and the Gauss-Bonnet term TG, enhances gravitational interactions. The modified teleparallel gravity models, such as f(T, B), f(T, TG), and f(T, B, TG, BG), are explored in terms of their stability and cosmological scenarios, successfully describing the accelerated expansion and late-time attractors. The thesis assesses the impact of a non-canonical scalar field coupled to the boundary term B on the Universe's evolution, comparing findings from Hubble data and Supernovae Ia data. Overall, the analysis suggests that modified teleparallel gravity models effectively explain early to late-time cosmic acceleration, revealing the strong dynamical foundation and offering a versatile framework for addressing challenges in cosmic evolution.

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