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https://hdl.handle.net/11147/6116
Title: | Affine dynamics with torsion | Authors: | Gültekin, Kemal | Keywords: | Torsion tensor Affine gravity Ricci tensor Gravitation Affine dynamics |
Publisher: | Springer Verlag | Source: | Gültekin, K. (2016). Affine dynamics with torsion. European Physical Journal C, 76(3). doi:10.1140/epjc/s10052-016-4015-y | Abstract: | In this study, we give a thorough analysis of a general affine gravity with torsion. After a brief exposition of the affine gravities considered by Eddington and Schrödinger, we construct and analyze different affine gravities based on the determinants of the Ricci tensor, the torsion tensor, the Riemann tensor, and their combinations. In each case we reduce equations of motion to their simplest forms and give a detailed analysis of their solutions. Our analyses lead to the construction of the affine connection in terms of the curvature and torsion tensors. Our solutions of the dynamical equations show that the curvature tensors at different points are correlated via non-local, exponential rescaling factors determined by the torsion tensor. | URI: | http://doi.org/10.1140/epjc/s10052-016-4015-y http://hdl.handle.net/11147/6116 |
ISSN: | 1434-6044 |
Appears in Collections: | Physics / Fizik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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