Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500528 | Differential Geometry and its Applications | 2005 | 16 Pages |
Abstract
Volume comparison results are obtained for the volume of geodesic celestial spheres in Lorentzian manifolds and the corresponding objects in Lorentzian space forms. Also, as a rigidity result it is shown that the volume of geodesic celestial spheres is independent of the instantaneous observer if and only if the spacetime has constant curvature.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
J. Carlos DÃaz-Ramos, Eduardo GarcÃa-RÃo, Luis M. Hervella,