| Автор | Ted Jacobson |
| Автор | Shankar Venkataramani |
| Дата выпуска | 1995-04-01 |
| dc.description | We prove that, under certain conditions, the topology of the event horizon of a four-dimensional asymptotically flat black-hole spacetime must be a 2-sphere. No stationarity assumption is made. However, in order for the theorem to apply, the horizon topology must be unchanging for long enough to admit a certain kind of cross section. We expect this condition is generically satisfied if the topology is unchanging for much longer than the light-crossing time of the black hole. More precisely, let M be a four-dimensional asymptotically flat spacetime satisfying the averaged null energy condition, and suppose that the domain of outer communication to the future of a cut K of is globally hyperbolic. Suppose further that a Cauchy surface for is a topological 3-manifold with compact boundary in M, and is a compact submanifold of with spherical boundary in (and possibly other boundary components in ). Then we prove that the homology group must be finite. This implies that either consists of a disjoint union of 2-spheres, or is non-orientable and contains a projective plane. Furthermore, , and will be a cross section of the horizon as long as no generator of becomes a generator of . In this case, if is orientable, the horizon cross section must consist of a disjoint union of 2-spheres. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Topology of event horizons and topological censorship |
| Тип | paper |
| DOI | 10.1088/0264-9381/12/4/012 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 12 |
| Первая страница | 1055 |
| Последняя страница | 1061 |
| Аффилиация | Ted Jacobson; Department of Physics, University of Maryland, College Park, MD 20742--4111, USA |
| Аффилиация | Shankar Venkataramani; Department of Physics, University of Maryland, College Park, MD 20742--4111, USA |
| Выпуск | 4 |
