التفاصيل البيبلوغرافية
| العنوان: |
General teleparallel metrical geometries. |
| المؤلفون: |
Adak, Muzaffer, Dereli, Tekin, Koivisto, Tomi S., Pala, Caglar |
| المصدر: |
International Journal of Geometric Methods in Modern Physics; 2023 Supplement 1, Vol. 20, p1-34, 34p |
| مصطلحات موضوعية: |
DIFFERENTIAL forms, DIFFERENTIAL geometry, AFFINE geometry, GENERAL relativity (Physics), CRYSTAL defects |
| مستخلص: |
In the conventional formulation of general relativity, gravity is represented by the metric curvature of Riemannian geometry. There are also alternative formulations in flat affine geometries, wherein the gravitational dynamics is instead described by torsion and nonmetricity. These so-called general teleparallel geometries may also have applications in material physics, such as the study of crystal defects. In this work, we explore the general teleparallel geometry in the language of differential forms. We discuss the special cases of metric and symmetric teleparallelisms, clarify the relations between formulations with different gauge fixings and without gauge fixing, and develop a method of recasting Riemannian into teleparallel geometries. As illustrations of the method, exact solutions are presented for the generic quadratic theory in 2, 3 and 4 dimensions. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
