On causal structure of homogeneous Lorentzian manifolds
β Scribed by A. Levichev
- Publisher
- Springer US
- Year
- 1989
- Tongue
- English
- Weight
- 755 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0001-7701
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π SIMILAR VOLUMES
In this paper we study the geodesical connectedness of Lorentzian manifolds. We consider a connected manifold M=M 0 \_R, where M 0 is a complete Riemannian manifold endowed with a Lorentzian metric g of splitting type. We prove that, under suitable hypotheses on the coefficients of the metric g, M i
Bochner's technique is applied to the study of timelike vectors fields on a Lorentzian manifold. In the compact case, a Lorentzian Bochner integral formula is obtained. As a consequence, compact Ricci flat Lorentzian manifolds admitting a timelike conformal vector field are classified. Both in the c
A method to construct stably causal Lorentzian metrics on noncompact manifolds is presented. Furthermore it is shown, that any noncompact manifold admits stably causal Lorentzian metrics with negative sectional curvature on timelike planes.