تقرير
Teleparallel Robertson-Walker geometries and applications
| العنوان: | Teleparallel Robertson-Walker geometries and applications |
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| المؤلفون: | Coley, Alan A., Landry, Alexandre, Gholami, Fateme |
| المصدر: | Universe, 2023, 9(10), 454 |
| سنة النشر: | 2023 |
| المجموعة: | General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology |
| الوصف: | 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 $k \neq 0$ 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. Comment: 18 pages, no figure, Published in Universe MDPI |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3390/universe9100454 |
| URL الوصول: | http://arxiv.org/abs/2310.14378 |
| رقم الأكسشن: | edsarx.2310.14378 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3390/universe9100454 |
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