Generalized Finsler Geometry in Einstein, String and Metric--Affine Gravity
| dc.creator | Vacaru, Sergiu I. | |
| dc.date | 2003-10-14 | |
| dc.date.accessioned | 2026-07-07T06:28:58Z | |
| dc.date.available | 2026-07-07T06:28:58Z | |
| dc.description | We develop the method of anholonomic frames with associated nonlinear connection (in brief, N--connection) structure and show explicitly how geometries with local anisotropy (various type of Finsler--Lagrange--Cartan--Hamilton geometry) can be modeled in the metric--affine spaces. There are formulated the criteria when such generalized Finsler metrics are effectively induced in the Einstein, teleparallel, Riemann--Cartan and metric--affine gravity. We argue that every generic off--diagonal metric (which can not be diagonalized by coordinate transforms) is related to specific N--connection configurations. We elaborate the concept of generalized Finsler--affine geometry for spaces provided with arbitrary N--connection, metric and linear connection structures and characterized by gravitational field strengths, i. e. by nontrivial N--connection curvature, Riemannian curvature, torsion and nonmetricity. We apply a irreducible decomposition techniques (in our case with additional N--connection splitting) and study the dynamics of metric--affine gravity fields generating Finsler like configurations. The classification of basic eleven classes of metric--affine spaces with generic local anisotropy is presented. | |
| dc.description | Latex2e, 55 pages + 26 pages for Appendix and Tables 1-11 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0310132 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0310132 | |
| dc.identifier | Chapter 1 in: "Clifford and Riemann Finsler Structures in Geometric Mechanics and Gravity, Selected Works (Geometry Balkan Press, 2006) http://www.mathem.pub.ro/dgds/mono/va-t.pdf | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97881 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Mathematical Physics | |
| dc.subject | Differential Geometry | |
| dc.title | Generalized Finsler Geometry in Einstein, String and Metric--Affine Gravity | |
| dc.type | text |