| Автор | Cihan Saçlioglu |
| Дата выпуска | 2000-01-21 |
| dc.description | We present unique solutions of the Seiberg-Witten monopole equations in which the U (1) curvature is covariantly constant, the monopole Weyl spinor consists of a single constant component and the 4-manifold is a product of two Riemann surfaces of genuses p <sub>1</sub> and p <sub>2</sub> . There are p <sub>1</sub> -1 magnetic vortices on one surface and p <sub>2</sub> -1 electric ones on the other, with p <sub>1</sub> +p <sub>2</sub> 2 (p <sub>1</sub> = p <sub>2</sub> = 1 being excluded). When p <sub>1</sub> = p <sub>2</sub> , the electromagnetic fields are self-dual and one also has a solution of the coupled Euclidean Einstein-Maxwell-Dirac equations, with the monopole condensate serving as a cosmological constant. The metric is decomposable and the electromagnetic fields are covariantly constant as in the Bertotti-Robinson solution. The Einstein metric can also be derived from a Kähler potential satisfying the Monge-Ampère equations. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Solutions of the Einstein-Maxwell-Dirac and Seiberg-Witten monopole equations |
| Тип | paper |
| DOI | 10.1088/0264-9381/17/2/314 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 17 |
| Первая страница | 485 |
| Последняя страница | 495 |
| Аффилиация | Cihan Saçlioglu; Physics Department, Bogaziçi University, 80815 Bebek, Istanbul, Turkey; Feza Gürsey Institute, TUBITAK-Bogaziçi University, 81220 Çengelköy, Istanbul, Turkey |
| Выпуск | 2 |
