Holographic F(Q,T) Gravity with Lambert Solution

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Main Authors: Filali, Houda, Koussou, Mouhsine, Bennai, Mohamed, Laamara, Rachid Ahl
Format: Preprint
Published: 2025
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author Filali, Houda
Koussou, Mouhsine
Bennai, Mohamed
Laamara, Rachid Ahl
author_facet Filali, Houda
Koussou, Mouhsine
Bennai, Mohamed
Laamara, Rachid Ahl
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_03486
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Holographic F(Q,T) Gravity with Lambert Solution
Filali, Houda
Koussou, Mouhsine
Bennai, Mohamed
Laamara, Rachid Ahl
General Relativity and Quantum Cosmology
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.
title Holographic F(Q,T) Gravity with Lambert Solution
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2508.03486