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Reconstruction paradigm in a class of extended teleparallel theories using Tsallis holographic dark energy

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Abstract

The present paper investigates the exact form of generic functions present in different torsion-based modified gravitational frameworks using reconstruction technique. For this purpose, we consider flat FRW geometry filled with the matter contents as perfect fluid. For the reconstruction paradigm, we take the Tsallis holographic dark energy model into account and explore the forms of generic functions present in the torsional frameworks of f(T) theory, non-minimally interacted torsion matter coupling, f(T, G) theory with G as Gauss–Bonnet term and \(f(T,{\mathcal {T}})\) gravity, where \({\mathcal {T}}\) denotes the energy–momentum tensor trace. We also computed the reconstructed form of generic functions by taking Tsallis holographic dark energy with power law and logarithmic corrections for all these cases. To check the cosmological viability and stability of the reconstructed models, we discuss some interesting cosmic parameters like dark energy EoS, deceleration parameter and the speed of sound graphically. It is concluded that all these parameters support accelerating cosmic expansion in later time and a stable state of cosmos (except few cases) which is also compatible with the recent observations.

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  1. Faculty of CORE Humanities, Prince Mohammad Bin Fahd University, Al Khobar, 31952, Kingdom of Saudi Arabia

    Saira Waheed

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Waheed, S. Reconstruction paradigm in a class of extended teleparallel theories using Tsallis holographic dark energy. Eur. Phys. J. Plus 135, 11 (2020). https://doi.org/10.1140/epjp/s13360-019-00028-9

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