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arXiv · 2508.03486

Holographic F(Q,T) Gravity with Lambert Solution

Houda Filali·Mouhsine Koussou·Mohamed Bennai·Rachid Ahl Laamara
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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 nonmetricity Q, where the nonmetricity Q is responsible for the gravitational interaction, and 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)=kt0/b*f(z) where f(z) = W[b/k*e((b-ln(1+z))/k)] and W denotes the Lambert function, and discuss the evolution of the trajectories of the equation of state parameters and deceleration parameter in the evolving universe using a special then generalized version of the model.

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Houda Filali, Mouhsine Koussou, Mohamed Bennai, Rachid Ahl Laamara. 2025-08-05. Holographic F(Q,T) Gravity with Lambert Solution. https://doi.org/10.1007/s10773-024-05643-6

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