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arXiv 2508.03486gr-qc
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全息F(Q,T)引力与Lambert解

Holographic F(Q,T) Gravity with Lambert Solution

Houda Filali, Mouhsine Koussou, Mohamed Bennai, Rachid Ahl Laamara

AI总结:

该研究在修正引力框架下提出全息暗能量模型,基于f(Q,T)引力并引入Lambert函数解,分析宇宙演化中的状态方程与减速参数。

摘要:

在这项工作中,我们在修正引力的背景下,利用FLRW宇宙学研究了一个全息暗能量模型。通过考虑引力作用量L由非度量性Q的任意函数f给出,其中非度量性Q负责引力相互作用,以及物质能量动量张量的迹T,使得L=f(Q,T),从而得到了对称遥平行引力的一个扩展。我们根据宇宙时间与红移之间的关系t(z)=kt0/b*f(z)(其中f(z)=W[b/k*e((b-ln(1+z))/k)],W表示Lambert函数)来展开所推导的宇宙学模型的特征,并使用该模型的一个特殊版本然后是一般版本,讨论了演化宇宙中状态方程参数和减速参数的轨迹演化。

英文摘要:

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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