On some global problems in the tetrad approach to quasi-local quantities
| dc.creator | Szabados, Laszlo B | |
| dc.date | 2007-12-01 | |
| dc.date | 2008-08-06 | |
| dc.date.accessioned | 2026-07-07T11:54:29Z | |
| dc.date.available | 2026-07-07T11:54:29Z | |
| dc.description | The potential global topological obstructions to the tetrad approach to finding the quasi-local conserved quantities, associated with closed, orientable spacelike 2-surfaces S, are investigated. First we show that the Lorentz frame bundle is always globally trivializable over an open neighbourhood U of any such S if an open neighbourhood of S is space and time orientable, and hence a globally trivializable SL(2,C) spin frame bundle can also be introduced over U. Then it is shown that all the spin frames belonging to the same spinor structure on S have always the same homotopy class. On the other hand, on a 2-surface with genus g, there are $2^{2g}$ homotopically different Lorentz frame fields, and there is a natural one-to-one correspondence between these homotopy classes and the different SL(2,C) spinor structures. | |
| dc.description | 13 pages, a more detailed discussion of the problems is given, Theorems 3.1 and 3.2 are modified slightly, the proof of Theorem 4.3 is improved, 5 references are added, misprints are corrected. Appearing in Class. Quantum Grav | |
| dc.identifier | https://arxiv.org/abs/0712.0085 | |
| dc.identifier | http://arxiv.org/abs/0712.0085 | |
| dc.identifier | Class.Quant.Grav.25:195004,2008 | |
| dc.identifier | doi:10.1088/0264-9381/25/19/195004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204914 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On some global problems in the tetrad approach to quasi-local quantities | |
| dc.type | text |