Exact solutions in teleparallel dark energy model

Küçükakça, Yusuf; Akbarieh, Amin Rezaei; Ashrafi, Saleh

doi:10.1016/j.cjph.2022.12.005

Cited by 1 publication

(1 citation statement)

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“…where φ is the scalar field, V(φ) is the scalar field potential, and then φ and φ are, respectively, the first and second time-derivatives of φ (all of these equations are for a constant coupling function in φ [26]). The form of the potential V(φ) must have a physical motivation, and not all potentials will admit exact power-law solutions, although solutions will often be power-law asymptotically.…”

Section: Generalizations and Physical Consequencesmentioning

confidence: 99%

Teleparallel Robertson-Walker Geometries and Applications

Coley,

Landry,

Gholami

2023

Universe

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In teleparallel geometries, the coframe and corresponding spin connection are the principal geometric objects and, consequently, the appropriate definition of a symmetry is that of an affine symmetry. The set of invariant coframes and their corresponding spin connections that respect the full six dimensional Lie algebra of Robertson–Walker affine symmetries are displayed and discussed. We will refer to such geometries as teleparallel Robertson–Walker (TRW) geometries, where the corresponding derived metric is of Robertson–Walker form and is characterized by the parameter k=(−1,0,1). The field equations are explicitly presented for the F(T) class of teleparallel TRW spacetimes. We are primarily interested in investigating the k≠0 TRW models. After first studying the k=0 models and, in particular, writing their governing field equations in an appropriate form, we then study their late time stability with respect to perturbations in k in both the cases of a vanishing and non-vanishing effective cosmological constant term. As an illustration, we consider both quadratic F(T) theories and power-law solutions.

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Section: Generalizations and Physical Consequencesmentioning

confidence: 99%