| Автор | Viqar Husain |
| Дата выпуска | 1994-04-01 |
| dc.description | Starting from the Ashtekar Hamiltonian variables for general relativity, the self-dual Einstein equations (SDE) may be rewritten as evolution equations for three divergence-free vector fields given on a three-dimensional surface with a fixed volume element. From this general form of the SDE, it is shown how they may be interpreted as the field equations for a two-dimensional field theory. It is further shown that these equations imply an infinite number of non-local conserved currents. A specific way of writing the vector fields allows an identification of the full SDE with those of the two-dimensional chiral model, with the gauge group being the group of area-preserving diffeomorphisms of a two-dimensional surface. This gives a natural Hamiltonian formulation of the SDE in terms of that of the chiral model. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Self-dual gravity as a two-dimensional theory and conservation laws |
| Тип | paper |
| DOI | 10.1088/0264-9381/11/4/011 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 11 |
| Первая страница | 927 |
| Последняя страница | 937 |
| Аффилиация | Viqar Husain; Theoretical Physics Institute, University of Alberta, Edmonton, Alberta T6G 2J1, Canada |
| Выпуск | 4 |
