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Energy conditions of the f(T,B) gravity dark energy model with the validity of thermodynamics

Communications in Theoretical Physics 2020年第8期72卷 109-118页

作者： s h shekh V R Chirde P K sahoo Department of Mathematics S.P.M.Science and Gilani Arts and Commerce CollegeGhatanjiYavatmalMaharashtra-445301India Department of Mathematics G.S.G.MahavidyalayaUmarkhed-445206India Department of Mathematics Birla Institute of Technology and Science-PilaniHyderabad CampusHyderabad-500078India

In this article, the analysis of Tsallis holographic dark energy(which turns into holographic dark energy for a particular choice of positive non-additivity parameter δ) in modified f(T, B) gravity with the validity of thermodynamics and energy conditions for a homogeneous and isotropic FLRW Universe has been studied. The enlightenment of the field equation towards f(T,B)=αT^m+βB^n, made possible by the fact that the model is purely accelerating,corresponds to q=-0.54(Mamon and Das 2017 Eur. Phys.J.C 77 49). The generalized second law of thermodynamics is valid not only for the same temperature inside the horizon, but also for the apparent horizon for a change in temperature. The essential inspiration driving this article is to exhibit the applicability that the holographic dark energy achieved from standard Tsallis holographic dark energy and the components acquired from f(T, B) gravity are identical for the specific bounty of constants. The analysis of energy conditions confirms that the weak energy condition and the null energy condition are fulfilled throughout the expansion, while violation of the strong energy condition validates the accelerated expansion of the *** the expansion, the model becomes a quintessence dominated model. The dominant energy condition is not observed initially when the model is filled with genuine baryonic matter,whereas it appears when the model is in the quintessence dominated era.

关键词： Tsallis holographic dark energy f(T B)gravity energy conditions thermodynamics

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f(T,B)gravity with statistically fitting of h(z)

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Communications in Theoretical Physics 2023年第9期75卷 79-90页

作者： s h shekh N Myrzakulov A Bouali A Pradhan Department of Mathematics S.P.M.Science and Gilani ArtsCommerce CollegeGhatanjiYavatmalMaharashtra 445301India L.N.Gumilyov Eurasian National University Astana 010008Kazakhstan Ratbay Myrzakulov Eurasian International Center for Theoretical Physics Astana010009Kazakhstan Laboratory of Physics of Matter and Radiation Mohammed I UniversityBP 717OujdaMorocco Centre for Cosmology Astrophysics and Space Science(CCASS)GLA UniversityMathura-281406Uttar PradeshIndia

some recent developments(accelerated expansion)in the Universe cannot be explained by the conventional formulation of general *** apply the recently proposed f(T,B)gravity to investigate the accelerated expansion of the *** parametrizing the hubble parameter and estimating the best fit values of the model parameters b_(0),b_(1),and b_(2)imposed from supernovae type la,Cosmic Microwave Background,B aryon Acoustic Oscillation,and hubble data using the Markov Chain Monte Carlo method,we propose a method to determine the precise solutions to the field *** then observe that the model appears to be in good agreement with the observations.A change from the deceleration to the acceleration phase of the Universe is shown by the evolution of the deceleration *** addition,we investigate the behavior of the statefinder analysis,equation of state(Eos)parameters,along with the energy ***,to discuss other cosmological parameters,we consider some wellknown f(T,B)gravity models,specifically,f(T,B)=aT^(b)+cB^(d).Lastly,we find that the considered f(T,B)gravity models predict that the present Universe is accelerating and the Eos parameter behaves like the ACDM model.

关键词： isotropic homogeneous space-time f(T,B)gravity statistical fitting of h(z)data cosmology

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