Article
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Cosmological models within $f(T,B)$ gravity in a holographic framework
Version 1
: Received: 16 August 2024 / Approved: 19 August 2024 / Online: 27 August 2024 (11:45:29 CEST)
How to cite: Chokyi, K. K.; Chattopadhyay, S. Cosmological models within $f(T,B)$ gravity in a holographic framework. Preprints 2024, 2024081942. https://doi.org/10.20944/preprints202408.1942.v1 Chokyi, K. K.; Chattopadhyay, S. Cosmological models within $f(T,B)$ gravity in a holographic framework. Preprints 2024, 2024081942. https://doi.org/10.20944/preprints202408.1942.v1
Abstract
We investigate the cosmological evolution of the universe for a spatially flat FLRW background space within the context of $f(T,B)$ gravity, which is a recently formulated teleparallel theory that connects both $f(T)$ and $f(R)$ gravity under suitable limits. The analysis has been done by focusing on four different $f(T,B)$ cosmological models corresponding to various choices of scale factor, namely emergent, logamediate, and intermediate. In addition to this, we also assume a power-law-like function of $f(T,B)$ gravity. The reconstruction of $f(T,B)$ gravity has been done by considering the Holographic Ricci Dark Energy(HRDE) (a particular case of a highly generalized holographic dark energy given in Nojiri et al. in General Relativity and Gravitation, 38, pp.1285-1304,2006) as the background fluid. We analyze the equation of state parameters and the squared speed of sound for the reconstructed models. Finally, we conducted the thermodynamical analysis for each reconstructed model. The generalised second law of thermodynamics(GSLT) is valid for the four different $f(T,B)$ cosmological models.
Keywords
Holographic Ricci Dark Energy; $f(T,B)$ gravity; scale factor
Subject
Physical Sciences, Theoretical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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