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Holographic F(Q,T) Gravity with Lambert Solution

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Abstract

In this work, we study a model of holographic dark energy using FLRW cosmology in the context of modified gravity. An extension of the symmetric teleparallel gravity is obtained by considering the gravitational action L is given by an arbitrary function f of the non-metricity Q, where the nonmetricity Q is responsible for the gravitational interaction, and of the trace of the matter-energy-momentum tensor T, so that \(L=f(Q,T)\). We expand on the features of the derived cosmological model in view of the relation between cosmic time and redshift as \(t(z)=\frac{kt_{0}}{b}f(z)\) where \(f(z)=W\left[ \frac{b}{k}e^{\frac{b-ln(1+z)}{k}} \right] \) and W denotes the Lambert function, and discuss the evolution trajectories of the equation of state parameter and deceleration parameters in the evolving universe using a special then a generalized version of the model.

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Authors and Affiliations

  1. Laboratory of High Energy Physics, Modeling and Simulations, Faculty of Science, Mohammed V University in Rabat, Rabat, Morocco

    Houda Filali & Rachid Ahl Laamara

  2. Quantum Physics and Applications Team, LPMC, Faculty of Science Ben M’sik, Casablanca Hassan II University, Casablanca, Morocco

    M. Koussour & M. Bennai

  3. CPM, Center of Physics and Mathematics, Faculty of Science, Mohammed V University in Rabat, Rabat, Morocco

    Rachid Ahl Laamara

Authors
  1. Houda Filali
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  2. M. Koussour
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  3. M. Bennai
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  4. Rachid Ahl Laamara
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Contributions

Author H.F wrote the main manuscript text and prepared the figures, M.K provided the original idea and parts of the analysis of the results, M.B and R.A contributed by overall review of the results and conclusions. All authors reviewed the manuscript.

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Correspondence to Houda Filali.

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Filali, H., Koussour, M., Bennai, M. et al. Holographic F(Q,T) Gravity with Lambert Solution. Int J Theor Phys 63, 104 (2024). https://doi.org/10.1007/s10773-024-05643-6

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