Generalized Teleparallel de Sitter geometries

التفاصيل البيبلوغرافية
العنوان: Generalized Teleparallel de Sitter geometries
المؤلفون: Coley, Alan A., Landry, Alexandre, Hoogen, Robert J. van den, McNutt, David D.
المصدر: Eur. Physical Journal C 83, 977 (2023)
سنة النشر: 2023
المجموعة: General Relativity and Quantum Cosmology
مصطلحات موضوعية: General Relativity and Quantum Cosmology
الوصف: Theories of gravity based on teleparallel geometries are characterized by the torsion, which is a function of the coframe, derivatives of the coframe, and a zero curvature and metric compatible spin connection. The appropriate notion of a symmetry in a teleparallel geometry is that of an affine symmetry. Due to the importance of the de Sitter geometry and Einstein spaces within general relativity, we shall describe teleparallel de Sitter geometries and discuss their possible generalizations. In particular, we shall analyse a class of Einstein teleparallel geometries which have a 4-dimensional Lie algebra of affine symmetries, and display two one-parameter families of explicit exact solutions.
Comment: 24 pages, no figure, Will appear soon in EPJC
نوع الوثيقة: Working Paper
DOI: 10.1140/epjc/s10052-023-12150-1
URL الوصول: http://arxiv.org/abs/2307.12930
رقم الأكسشن: edsarx.2307.12930
قاعدة البيانات: arXiv
الوصف
DOI:10.1140/epjc/s10052-023-12150-1