WestudyanewtypeofthemodifiedteleparallelgravityoftheformF(T,Θ)inwhichT,thetorsionscalar,iscoupledwithΘ,thetraceofthestress–energytensor.Inaperturbationalapproach,westudythestabilityofthesolutionsandasaspecialcasewefindaconditionforstabilityofthedeSitterphase.ThenweadoptasuitableformforF(T,Θ)thatrealizesastabledeSittersolutionsothatthestabilityconditioncreatesaspecificconstraintontheparametricspaceofthemodel.Finally,theenergyconditionsintheframeworkofF(T,Θ)gravityisinvestigated.
