Holographic F(Q,T) Gravity with Lambert Solution

TL;DR

This paper explores a modified gravity model combining f(Q,T) gravity with Lambert functions to analyze holographic dark energy and cosmic evolution in FLRW cosmology.

Contribution

It introduces a novel f(Q,T) gravity model incorporating Lambert functions to study holographic dark energy in cosmology.

Findings

Derived cosmological model with Lambert function relation between time and redshift

Analyzed evolution of equation of state and deceleration parameters

Provided insights into cosmic acceleration within modified gravity framework

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.