Projective transformations in metric-affine and Weylian geometries

التفاصيل البيبلوغرافية
العنوان: Projective transformations in metric-affine and Weylian geometries
المؤلفون: Sauro, Dario, Martini, Riccardo, Zanusso, Omar
المصدر: Int.J.Geom.Meth.Mod.Phys. 20 (2023) 13, 2350237
سنة النشر: 2022
المجموعة: General Relativity and Quantum Cosmology
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology
الوصف: We discuss generalizations of the notions of projective transformations acting on affine model of Riemann-Cartan and Riemann-Cartan-Weyl gravity which preserve the projective structure of the light-cones. We show how the invariance under some projective transformations can be used to recast a Riemann-Cartan-Weyl geometry either as a model in which the role of the Weyl gauge potential is played by the torsion vector, which we call torsion-gauging, or as a model with traditional Weyl (conformal) invariance.
Comment: 13 pages, published version
نوع الوثيقة: Working Paper
DOI: 10.1142/S0219887823502377
URL الوصول: http://arxiv.org/abs/2208.10872
رقم الأكسشن: edsarx.2208.10872
قاعدة البيانات: arXiv
الوصف
DOI:10.1142/S0219887823502377