تقرير
A modified gravity model coupled to a Dirac field in 2D spacetimes with quadratic nonmetricity and curvature
| العنوان: | A modified gravity model coupled to a Dirac field in 2D spacetimes with quadratic nonmetricity and curvature |
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| المؤلفون: | Pala, Caglar, Kok, Ertan, Sert, Ozcan, Adak, Muzaffer |
| المصدر: | Int. J. Geom. Meth. Mod.Phys. 19 (2022) 2250045 |
| سنة النشر: | 2020 |
| المجموعة: | General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology |
| الوصف: | After summarizing basic concepts for the exterior algebra we firstly discuss the gauge structure of the bundle over base manifold for deciding the form of the gravitational sector of the total Lagrangian in any dimensions. Then we couple minimally a Dirac spinor field to our gravitational Lagrangian 2-form which is quadratic in the nonmetricity and both linear and quadratic in the curvature in two dimensions. Subsequently we obtain field equations by varying the total Lagrangian with respect to the independent variables. Finally we find some classes of solutions of the vacuum theory and then a solution of the Dirac equation in a specific background and analyse them. Comment: Accepted for publication in IJGMMP |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1142/S0219887822500451 |
| URL الوصول: | http://arxiv.org/abs/2011.10982 |
| رقم الأكسشن: | edsarx.2011.10982 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1142/S0219887822500451 |
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