A note on the circle actions on Einstein manifolds (Q2716963)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A note on the circle actions on Einstein manifolds |
scientific article; zbMATH DE number 1599689
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the circle actions on Einstein manifolds |
scientific article; zbMATH DE number 1599689 |
Statements
A note on the circle actions on Einstein manifolds (English)
0 references
16 May 2001
0 references
event horizon
0 references
black holes
0 references
circle actions
0 references
Einstein manifold
0 references
0.93715924
0 references
0 references
0.9098281
0 references
0.9030335
0 references
0.9026168
0 references
0.9016943
0 references
It is well-known in Hawking's theory of black holes that the event horizon of a stationary space-time is topologically a 2-sphere. In the present paper, the author proves the Riemannian analogue of this result. More precisely, each bolt of a complete noncompact Einstein manifold of zero scalar curvature admitting a semifree isometric circle action is topologically a 2-sphere. The author also considers the structure of an Einstein manifold which admits a free isometric circle action.
0 references
