Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
43 (2002), S. 554-562
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
In this note we prove a theorem on nonvacuum initial data for general relativity. The result presents a "rigidity phenomenon" for the extrinsic curvature, caused by the nonpositive scalar curvature. More precisely, we claim that in the case of an asymptotically flat nonvacuum initial data if the spatial metric has everywhere nonpositive scalar curvature, then the extrinsic curvature cannot be compactly supported. © 2002 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.1421422
Permalink
|
Location |
Call Number |
Expected |
Availability |