https://doi.org/10.1140/epjp/s13360-022-03321-2
Regular Article
Tsallis HDE-based reconstruction via correspondence scheme in a generalized torsion scalar theory
1
Prince Mohammad Bin Fahd University, Khobar, Kingdom of Saudi Arabia
2
Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan
3
Department of Mathematics, Forman Christian College, Lahore, Pakistan
Received:
21
July
2022
Accepted:
23
September
2022
Published online:
5
October
2022
The present study is devoted to calculate the form of generic function present in the Lagrangian of the most generalized teleparallel gravity based on higher-order derivative terms of torsion scalar using reconstruction scheme. Our primary objective is to obtain the form of Lagrangian coming from the Tsallis holographic dark energy model with Hubble horizon as IR cutoff through correspondence scheme of reconstruction. For this purpose, the flat FRW geometry filled with perfect fluid as ordinary matter contents is taken into account along with the power law form of scale factor. The cosmological significance of the reconstructed models is then explored graphically by using some cosmic measures like the EoS parameter for dark energy and the null energy condition. Also, we discuss the stability of the reconstructed models through speed of sound graphically. Further we discuss the reconstruction of this Lagrangian for power law and logarithmic corrected Tsallis HDE models. Lastly, we reconstruct the generic function of Lagrangian by taking new agegraphic Tsallis holographic dark energy into account. It is found that majority of the new reconstructed models are stable and cosmologically interesting (consistent with the cosmic observations) for the selected choices of involved free parameters.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
