| Автор | James D E Grant |
| Дата выпуска | 1999-11-01 |
| dc.description | We give a spinorial set of Hamiltonian variables for general relativity in any dimension greater than 2. This approach involves a study of the algebraic properties of spinors in higher dimensions, and of the elimination of second-class constraints from the Hamiltonian theory. In four dimensions, when restricted to the positive spin-bundle, these variables reduce to the standard Ashtekar variables. In higher dimensions, the theory can either be reduced to a spinorial version of the ADM formalism, or can be left in a more general form which seems useful for the investigation of some spinorial problems such as Riemannian manifolds with reduced holonomy group. In dimensions 0 (mod 4), the theory may be recast solely in terms of structures on the positive spin-bundle <sup>+</sup>, but such a reduction does not seem possible in dimensions 2 (mod 4), due to algebraic properties of spinors in these dimensions. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | A spinorial Hamiltonian approach to gravity |
| Тип | paper |
| DOI | 10.1088/0264-9381/16/11/301 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 16 |
| Первая страница | 3419 |
| Последняя страница | 3437 |
| Аффилиация | James D E Grant; Department of Mathematics, University of Hull, Hull HU6 7RX, UK |
| Выпуск | 11 |
