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On the connectedness of the space of initial data for the Einstein equations
Author(s):
Brian
Smith;
Gilbert
Weinstein
Journal:
Electron. Res. Announc. Amer. Math. Soc.
6
(2000),
52-63.
MSC (2000):
Primary 83C05;
Secondary 58G11
Posted:
July 19, 2000
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Abstract:
Is the space of initial data for the Einstein vacuum equations connected? As a partial answer to this question, we prove the following result: Let  be the space of asymptotically flat metrics of non-negative scalar curvature on  which admit a global foliation outside a point by  -spheres of positive mean and Gauss curvatures. Then  is connected.
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Additional Information:
Brian
Smith
Affiliation:
University of Alabama at Birmingham, Birmingham, AL 35205
Email:
smith@math.uab.edu
Gilbert
Weinstein
Affiliation:
University of Alabama at Birmingham, Birmingham, AL 35205
Email:
weinstei@math.uab.edu
DOI:
10.1090/S1079-6762-00-00081-0
PII:
S 1079-6762(00)00081-0
Received by editor(s):
May 27, 1999
Posted:
July 19, 2000
Additional Notes:
This research was supported in part by NSF grant DMS~9704760.
Communicated by:
Richard Schoen
Copyright of article:
Copyright
2000,
American Mathematical Society
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